February Regional Geometry Individual Test
|
|
- Gregory Page
- 5 years ago
- Views:
Transcription
1 Calculators are NOT to be used for this test. For all problems, answer choice E, NOTA, means none of the above answers is correct. Assume all measurements to be in units unless otherwise specified; angle measurements are in degrees. Figures are not necessarily drawn to scale. 1. Find the converse of the inverse of the contrapositive of the following statement: If John studied last night, John will score an A on his exam. A) If John studied last night, John will score an A on his exam. B) If John did not study last night, John will not score an A on his exam. C) If John will score an A on his exam, then John studied last night. D) If John will not score an A on his exam, then John did not study last night. 2. Let n be the angle measure of a regular hexagon. Let k be n/10. Compute the angle measure of a regular polygon with k sides. A) 90 B) 135 C) 140 D) A radio station is built on an extremely large and flat plateau. The radio station can broadcast to receiving units up to a distance of 30 miles from it. However, it cannot broadcast to units that are too close to it, which means the station cannot broadcast within 5 miles of itself. Find the area of the land, in miles, that the radio station can broadcast to. A) 25 B) 25 π C) 875 π D) 895 π 4. A quadrilateral has diagonals that are perpendicular bisectors of each other. Which of the following best describes the quadrilateral? A) rhombus B) parallelogram C) rectangle D) square 5. In the figure to the right, the two hexagons are similar. The smaller hexagon has an area of 6. The length of one side of the larger hexagon is equal to the perimeter of the smaller hexagon. Compute the area of the larger hexagon. A) 1 B) 6 C) 216 D) Classify a triangle with side lengths 6, 7, and 10. A) acute B) right C) obtuse D) degenerate
2 7. Three regular polygons share a vertex, which is shown to the left. If one of the polygons is a square and another is an octagon, how many sides does the last polygon have? A) 6 B) 8 C) 10 D) Cannot be determined by the information given people are in a room. Each person begins trying to shake hands once with every other person in the room. However, Joe leaves the room after 5 handshakes have taken place (these handshakes may or may not have involved Joe). The remaining people shake hands until the remaining people have all shaken hands with each other. Which of the following could be the total number of handshakes that have taken place? A) 275 B) 280 C) 290 D) D is the midpoint of BC inv ABC. E and F lie on AC and AB, respectively, such that DE and DF bisect ADC and ADB, respectively. Find the measure of EDF. A) 60 B) 75 C) 90 D) In the diagram to the right, circle P is inscribed in a quarter-circle of circle O. Circle Q is inscribed in a quarter-circle of circle P. If the radius of circle Q is, find the radius of circle O, labeled r in the diagram. A) B) 1 C) D) A quadrilateral ABCD has 10 units long, find the area of quadrilateral ABCD. AB =, BC = 7, CD = 7, and AD = 18. Given that diagonal BD is 13 A) B) C) D) 12. Triangle ABC has AB = 6, AC = 12, and A = 60. Let AD be the angle bisector of A. Find the length of AD. A) 4 B) C) D) 9
3 13. Define a radial polygon as a regular polygon such that a circle circumscribing the polygon has a radius longer than the side length of the polygon. Which of the following are radial polygons? I. square II. regular hexagon III. regular nonagon IV. regular 100-gon A) II only B) III only C) II and III D) III and IV 14. A circle is drawn in equilateral triangle ABC such that the circle s center lies on one side of the triangle and the circle is tangent to the other two sides of the triangle. Given that the triangle has side length 12, compute the area of this circle. A) 16π B) 27π C) 36π D) 81π 15. An equilateral triangle has apothem 13. Compute the length of one of the sides of this triangle. A) B) 26 C) D) A cyclic quadrilateral with side lengths 6, 7, 8, and 9 has one of its diagonals drawn, creating 2 triangles inside the quadrilateral. Find the distance between the circumcenters of these triangles. A) 2 B) 3 C) 5 D) A right triangle has hypotenuse 10 and perimeter 24. Find the area of the triangle. A) 24 B) 48 C) 72 D) 96
4 18. In the triangle below, BD is the angle bisector of ABC, CE is the angle bisector of ACB, and X is their intersection. Given AB = AC = 10 and BC = 16, compute the area of triangle BXC. A) 64/3 B) 24 C) 128/3 D) Three circles are drawn in the plane such that each circle is externally tangent to the other two circles. Given that the centers of the circles form a triangle with perimeter 20, find the sum of the circumferences of the three circles. A) 10π B) 15π C) 25π D) 40π 20. In quadrilateral ABCD, AB = 10, BC = 6, and CD = 15. Compute the length of AD if the diagonals of ABCD are perpendicular to each other. A) 14 B) 15 C) 16 D) How many angles does regular polygon ABCDEFGHIJKLMOPQRSTUVWXYZ have? A) 24 B) 25 C) 26 D) For any true statement t, which of the following statements will always be true? A) the inverse of t B) the converse of t C) the inverse of the converse of t D) the converse of the contrapositive of the inverse of the converse of t 23. Triangle ABC has AB = 5 and AC = 6. If the angle bisector from vertex B also happens to be a median of the triangle, find the area of triangle ABC. A) 12 B) 18 C) 24 D) 30
5 24. The inradius of triangle ABC is 4. The area of triangle ABC is 8 more than the perimeter of triangle ABC. Compute the area of triangle ABC. A) 4 B) 8 C) 16 D) Which of the following could not be the number of intersections between 3 coplanar circles? A) 0 B) 2 C) 6 D) In quadrilateral ABCD, we have AB = AD and CB = CD. Which of the following could never describe quadrilateral ABCD? A) kite B) parallelogram C) square D) trapezoid 27. A rectangular building has an area of 800 units squared, with side of the building twice as long as the other side. A dog is tied to a corner of this building by a rope. The length of the rope is the average of the side lengths of the rectangular building. Compute the perimeter of the region the dog can travel. A) 50π B) 60+50π C) 60+80π D) 700π 28. There exists a circular building with radius 300 meters. A circular track of width 5 meters is built around it. Joe sprints around the track exactly one time. How far does Joe run, given that he stays in the center of the track throughout his run? All answer choices are in meters. A) 600π B) 605π C) 610π D) 615π 29. Let ABCD be a square with side length 10. Let the midpoint of AB be M and the midpoint of BC as N. Let X be the intersection of MC and ND. Find the area of triangle CNX. A) 5 B) 10 C) 20 D) Which of the following is an undefined term of geometry? A) arc B) coordinate C) plane D) segment
Geometry Period Unit 2 Constructions Review
Name 2-7 Review Geometry Period Unit 2 Constructions Review Date 2-1 Construct an Inscribed Regular Hexagon and Inscribed equilateral triangle. -Measuring radius distance to make arcs. -Properties of equilateral
More informationGeometry Period Unit 2 Constructions Review
Name 2-7 Review Geometry Period Unit 2 Constructions Review Date 2-1 Construct an Inscribed Regular Hexagon and Inscribed equilateral triangle. -Measuring radius distance to make arcs. -Properties of equilateral
More informationVideos, Constructions, Definitions, Postulates, Theorems, and Properties
Videos, Constructions, Definitions, Postulates, Theorems, and Properties Videos Proof Overview: http://tinyurl.com/riehlproof Modules 9 and 10: http://tinyurl.com/riehlproof2 Module 9 Review: http://tinyurl.com/module9livelesson-recording
More informationPostulates, Theorems, and Corollaries. Chapter 1
Chapter 1 Post. 1-1-1 Through any two points there is exactly one line. Post. 1-1-2 Through any three noncollinear points there is exactly one plane containing them. Post. 1-1-3 If two points lie in a
More informationGeometry. Geometry is one of the most important topics of Quantitative Aptitude section.
Geometry Geometry is one of the most important topics of Quantitative Aptitude section. Lines and Angles Sum of the angles in a straight line is 180 Vertically opposite angles are always equal. If any
More information14-9 Constructions Review. Geometry Period. Constructions Review
Name Geometry Period 14-9 Constructions Review Date Constructions Review Construct an Inscribed Regular Hexagon and Inscribed equilateral triangle. -Measuring radius distance to make arcs. -Properties
More informationTerm Definition Figure
Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruency, parallel, perpendicular, etc.) Term Definition Figure collinear on the same line (note: you do
More information1. AREAS. Geometry 199. A. Rectangle = base altitude = bh. B. Parallelogram = base altitude = bh. C. Rhombus = 1 product of the diagonals = 1 dd
Geometry 199 1. AREAS A. Rectangle = base altitude = bh Area = 40 B. Parallelogram = base altitude = bh Area = 40 Notice that the altitude is different from the side. It is always shorter than the second
More informationLines Plane A flat surface that has no thickness and extends forever.
Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that
More informationMath 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK
Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK [acute angle] [acute triangle] [adjacent interior angle] [alternate exterior angles] [alternate interior angles] [altitude] [angle] [angle_addition_postulate]
More informationGeometry 10 and 11 Notes
Geometry 10 and 11 Notes Area and Volume Name Per Date 10.1 Area is the amount of space inside of a two dimensional object. When working with irregular shapes, we can find its area by breaking it up into
More informationUnit 2: Triangles and Polygons
Unit 2: Triangles and Polygons Background for Standard G.CO.9: Prove theorems about lines and angles. Objective: By the end of class, I should Using the diagram below, answer the following questions. Line
More informationAny questions about the material so far? About the exercises?
Any questions about the material so far? About the exercises? Here is a question for you. In the diagram on the board, DE is parallel to AC, DB = 4, AB = 9 and BE = 8. What is the length EC? Polygons Definitions:
More informationChapter 10 Similarity
Chapter 10 Similarity Def: The ratio of the number a to the number b is the number. A proportion is an equality between ratios. a, b, c, and d are called the first, second, third, and fourth terms. The
More informationDEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.
DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent
More informationGeometry Reasons for Proofs Chapter 1
Geometry Reasons for Proofs Chapter 1 Lesson 1.1 Defined Terms: Undefined Terms: Point: Line: Plane: Space: Postulate 1: Postulate : terms that are explained using undefined and/or other defined terms
More informationGeometry (H) Worksheet: 1st Semester Review:True/False, Always/Sometimes/Never
1stSemesterReviewTrueFalse.nb 1 Geometry (H) Worksheet: 1st Semester Review:True/False, Always/Sometimes/Never Classify each statement as TRUE or FALSE. 1. Three given points are always coplanar. 2. A
More informationGeometry Basics of Geometry Precise Definitions Unit CO.1 OBJECTIVE #: G.CO.1
OBJECTIVE #: G.CO.1 OBJECTIVE Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance
More informationIndiana State Math Contest Geometry
Indiana State Math Contest 018 Geometry This test was prepared by faculty at Indiana University - Purdue University Columbus Do not open this test booklet until you have been advised to do so by the test
More informationGeometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review
Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Polygon a closed plane figure with at least 3 sides that are segments -the sides do not intersect except at the vertices N-gon -
More informationGeometry. Oklahoma Math Day INSTRUCTIONS:
Oklahoma Math Day November 16, 016 Geometry INSTRUCTIONS: 1. Do not begin the test until told to do so.. Calculators are not permitted. 3. Be sure to enter your name and high school code on the answer
More information3. The sides of a rectangle are in ratio fo 3:5 and the rectangle s area is 135m2. Find the dimensions of the rectangle.
Geometry B Honors Chapter Practice Test 1. Find the area of a square whose diagonal is. 7. Find the area of the triangle. 60 o 12 2. Each rectangle garden below has an area of 0. 8. Find the area of the
More informationModeling with Geometry
Modeling with Geometry 6.3 Parallelograms https://mathbitsnotebook.com/geometry/quadrilaterals/qdparallelograms.html Properties of Parallelograms Sides A parallelogram is a quadrilateral with both pairs
More informationFor all questions, E. NOTA means none of the above answers is correct. Diagrams are NOT drawn to scale.
For all questions, means none of the above answers is correct. Diagrams are NOT drawn to scale.. In the diagram, given m = 57, m = (x+ ), m = (4x 5). Find the degree measure of the smallest angle. 5. The
More informationFebruary Regional Geometry Team: Question #1
February Regional Geometry Team: Question #1 A = area of an equilateral triangle with a side length of 4. B = area of a square with a side length of 3. C = area of a regular hexagon with a side length
More informationSelect the best answer. Bubble the corresponding choice on your scantron. Team 13. Geometry
Team Geometry . What is the sum of the interior angles of an equilateral triangle? a. 60 b. 90 c. 80 d. 60. The sine of angle A is. What is the cosine of angle A? 6 4 6 a. b. c.. A parallelogram has all
More informationGeometry Third Quarter Study Guide
Geometry Third Quarter Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,
More informationNOTA" stands for none of these answers." Figures are not drawn to scale.
NOTA" stands for none of these answers." Figures are not drawn to scale. 1. If Kyle does not do his homework, then he is lazy. Kyle is lazy. Which of the following must be true? a) Kyle never does his
More informationMATH 113 Section 8.2: Two-Dimensional Figures
MATH 113 Section 8.2: Two-Dimensional Figures Prof. Jonathan Duncan Walla Walla University Winter Quarter, 2008 Outline 1 Classifying Two-Dimensional Shapes 2 Polygons Triangles Quadrilaterals 3 Other
More informationa) 1/3 area of triangle ABC b) 3.6 c) 3 d) e) Euclid s fifth postulate is equivalent to: Given a line and a point not on that line
1. Given is a right triangle with AD a perpendicular from the right angle to the hypotenuse, find the length of AD given AB = 6, BC = 10 and AC = 8. B D A C a) 7.5 b) 6.5 c) 4.8 d) e) 2. Using the figure
More informationAn Approach to Geometry (stolen in part from Moise and Downs: Geometry)
An Approach to Geometry (stolen in part from Moise and Downs: Geometry) Undefined terms: point, line, plane The rules, axioms, theorems, etc. of elementary algebra are assumed as prior knowledge, and apply
More informationPolygon. Note: Each segment is called a side. Each endpoint is called a vertex.
Polygons Polygon A closed plane figure formed by 3 or more segments. Each segment intersects exactly 2 other segments at their endpoints. No 2 segments with a common endpoint are collinear. Note: Each
More informationChapter 11 Review. Period:
Chapter 11 Review Name: Period: 1. Find the sum of the measures of the interior angles of a pentagon. 6. Find the area of an equilateral triangle with side 1.. Find the sum of the measures of the interior
More informationGeometry Rules. Triangles:
Triangles: Geometry Rules 1. Types of Triangles: By Sides: Scalene - no congruent sides Isosceles - 2 congruent sides Equilateral - 3 congruent sides By Angles: Acute - all acute angles Right - one right
More informationMANHATTAN HUNTER SCIENCE HIGH SCHOOL GEOMETRY CURRICULUM
COORDINATE Geometry Plotting points on the coordinate plane. Using the Distance Formula: Investigate, and apply the Pythagorean Theorem as it relates to the distance formula. (G.GPE.7, 8.G.B.7, 8.G.B.8)
More informationU4 Polygon Notes January 11, 2017 Unit 4: Polygons
Unit 4: Polygons 180 Complimentary Opposite exterior Practice Makes Perfect! Example: Example: Practice Makes Perfect! Def: Midsegment of a triangle - a segment that connects the midpoints of two sides
More informationTheta Circles & Polygons 2015 Answer Key 11. C 2. E 13. D 4. B 15. B 6. C 17. A 18. A 9. D 10. D 12. C 14. A 16. D
Theta Circles & Polygons 2015 Answer Key 1. C 2. E 3. D 4. B 5. B 6. C 7. A 8. A 9. D 10. D 11. C 12. C 13. D 14. A 15. B 16. D 17. A 18. A 19. A 20. B 21. B 22. C 23. A 24. C 25. C 26. A 27. C 28. A 29.
More information2011 James S. Rickards Fall Invitational Geometry Team Round QUESTION 1
QUESTION 1 In the diagram above, 1 and 5 are supplementary and 2 = 6. If 1 = 34 and 2 = 55, find 3 + 4 + 5 + 6. QUESTION 2 A = The sum of the degrees of the interior angles of a regular pentagon B = The
More informationTENTH YEAR MATHEMATICS
10 The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION TENTH YEAR MATHEMATICS Wednesday, August 16, 1967-8 :30 to 11 :30 a.m., only The last page of the booklet is the answer sheet,
More informationShortcuts, Formulas & Tips
& present Shortcuts, Formulas & Tips For MBA, Banking, Civil Services & Other Entrance Examinations Vol. 3: Geometry Lines and Angles Sum of the angles in a straight line is 180 Vertically opposite angles
More informationChapter 1-3 Parallel Lines, Vocab, and Linear Equations Review
Geometry H Final Exam Review Chapter 1-3 Parallel Lines, Vocab, and Linear Equations Review 1. Use the figure at the right to answer the following questions. a. How many planes are there in the figure?
More informationfall08ge Geometry Regents Exam Test Sampler fall08 4 The diagram below shows the construction of the perpendicular bisector of AB.
fall08ge 1 Isosceles trapezoid ABCD has diagonals AC and BD. If AC = 5x + 13 and BD = 11x 5, what is the value of x? 1) 8 4 The diagram below shows the construction of the perpendicular bisector of AB.
More informationIf two sides and the included angle of one triangle are congruent to two sides and the included angle of 4 Congruence
Postulates Through any two points there is exactly one line. Through any three noncollinear points there is exactly one plane containing them. If two points lie in a plane, then the line containing those
More information2. A straightedge can create straight line, but can't measure. A ruler can create straight lines and measure distances.
5.1 Copies of Line Segments and Angles Answers 1. A drawing is a rough sketch and a construction is a process to create an exact and accurate geometric figure. 2. A straightedge can create straight line,
More informationEOC Review: Practice: 1. In the circle below, AB = 2BC. What is the probability of hitting the shaded region with a random dart?
EOC Review: Focus Areas: Trigonometric Ratios Area and Volume including Changes in Area/Volume Geometric Probability Proofs and Deductive Reasoning including Conditionals Properties of Polygons and Circles
More informationGeometry Final Exam - Study Guide
Geometry Final Exam - Study Guide 1. Solve for x. True or False? (questions 2-5) 2. All rectangles are rhombuses. 3. If a quadrilateral is a kite, then it is a parallelogram. 4. If two parallel lines are
More informationName: Extra Midterm Review January 2018
Name: Extra Midterm Review January 2018 1. Which drawing best illustrates the construction of an equilateral triangle? A) B) C) D) 2. Construct an equilateral triangle in which A is one vertex. A 3. Construct
More informationNight Classes Geometry - 2
Geometry - 2 Properties of four centres in a triangle Median: Area of ABD = area of ADC Angle Bisector: Properties of four centres in a triangle Angle Bisector: Properties of four centres in a triangle
More information4. Find the exact circumference of a circle with diameter 12 in.
TMTA Geometry Test 008 1. The perimeter of an equilateral triangle is 0 inches. The area in square inches is 5 50 5 a ) 5 5. Which of the following pairs of angles are complementary? 1,77 180 45,90 6,
More informationGeometry Ch 7 Quadrilaterals January 06, 2016
Theorem 17: Equal corresponding angles mean that lines are parallel. Corollary 1: Equal alternate interior angles mean that lines are parallel. Corollary 2: Supplementary interior angles on the same side
More informationHustle Geometry SOLUTIONS MAΘ National Convention 2018 Answers:
Hustle Geometry SOLUTIONS MAΘ National Convention 08 Answers:. 50.. 4. 8 4. 880 5. 6. 6 7 7. 800π 8. 6 9. 8 0. 58. 5.. 69 4. 0 5. 57 6. 66 7. 46 8. 6 9. 0.. 75. 00. 80 4. 8 5 5. 7 8 6+6 + or. Hustle Geometry
More informationName Honors Geometry Final Exam Review
2014-2015 Name Honors Geometry Final Eam Review Chapter 5 Use the picture at the right to answer the following questions. 1. AC= 2. m BFD = 3. m CAE = A 29 C B 71⁰ 19 D 16 F 65⁰ E 4. Find the equation
More informationGeometry - Chapter 1 - Corrective #1
Class: Date: Geometry - Chapter 1 - Corrective #1 Short Answer 1. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. 2. Name two
More informationGeometry Team #1 FAMAT Regional February
Geometry Team #1 FAMAT Regional February A. Find the area of a triangle with semi perimeter 13 and two sides having lengths 10 and 9. B. In DPQR, ÐQis obtuse, mð P= 45, PR= 10, PQ= 3. Find the area of
More informationJanuary Regional Geometry Team: Question #1. January Regional Geometry Team: Question #2
January Regional Geometry Team: Question #1 Points P, Q, R, S, and T lie in the plane with S on and R on. If PQ = 5, PS = 3, PR = 5, QS = 3, and RT = 4, what is ST? 3 January Regional Geometry Team: Question
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More informationUnit 10 Study Guide: Plane Figures
Unit 10 Study Guide: Plane Figures *Be sure to watch all videos within each lesson* You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass needed for a piece
More informationc) Are the triangles isosceles, scalene, or equilateral triangles?
Question #1: For the figure shown: 6 4 L 6 T a) Find the length of LT b) Find the length of T c) re the triangles isosceles, scalene, or equilateral triangles? d) Find the perimeter of triangle Question
More informationGeometry Practice. 1. Angles located next to one another sharing a common side are called angles.
Geometry Practice Name 1. Angles located next to one another sharing a common side are called angles. 2. Planes that meet to form right angles are called planes. 3. Lines that cross are called lines. 4.
More informationSecondary Math II Honors. Unit 4 Notes. Polygons. Name: Per:
Secondary Math II Honors Unit 4 Notes Polygons Name: Per: Day 1: Interior and Exterior Angles of a Polygon Unit 4 Notes / Secondary 2 Honors Vocabulary: Polygon: Regular Polygon: Example(s): Discover the
More informationFGCU Invitational Geometry Individual 2014
All numbers are assumed to be real. Diagrams are not drawn to scale. For all questions, NOTA represents none of the above answers is correct. For problems 1 and 2, refer to the figure in which AC BC and
More informationTest Review: Geometry I TEST DATE: ALL CLASSES TUESDAY OCTOBER 6
Test Review: Geometry I TEST DATE: ALL CLASSES TUESDAY OCTOBER 6 Notes to Study: Notes A1, B1, C1, D1, E1, F1, G1 Homework to Study: Assn. 1, 2, 3, 4, 5, 6, 7 Things it would be a good idea to know: 1)
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More informationGeometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.
Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know
More informationNEW YORK GEOMETRY TABLE OF CONTENTS
NEW YORK GEOMETRY TABLE OF CONTENTS CHAPTER 1 POINTS, LINES, & PLANES {G.G.21, G.G.27} TOPIC A: Concepts Relating to Points, Lines, and Planes PART 1: Basic Concepts and Definitions...1 PART 2: Concepts
More informationGeometry / Integrated II TMTA Test units.
1. An isosceles triangle has a side of length 2 units and another side of length 3 units. Which of the following best completes the statement The length of the third side of this triangle? (a) is (b) is
More informationIndex COPYRIGHTED MATERIAL. Symbols & Numerics
Symbols & Numerics. (dot) character, point representation, 37 symbol, perpendicular lines, 54 // (double forward slash) symbol, parallel lines, 54, 60 : (colon) character, ratio of quantity representation
More informationPoints, lines, angles
Points, lines, angles Point Line Line segment Parallel Lines Perpendicular lines Vertex Angle Full Turn An exact location. A point does not have any parts. A straight length that extends infinitely in
More informationThomas Jefferson High School for Science and Technology Program of Studies TJ Math 1
Course Description: This course is designed for students who have successfully completed the standards for Honors Algebra I. Students will study geometric topics in depth, with a focus on building critical
More informationFirst we need a more precise, rigorous definition:
Lesson 21 Lesson 20, page 1 of 8 Glencoe Geometry Chapter 10.1 Polygons & Area We have been working with special types of polygons throughout the year. Rectangles, Squares, Trapezoids, and, yes, Triangles
More informationNote: For all questions, answer (E) NOTA means none of the above answers is correct. Unless otherwise specified, all angles are measured in degrees.
Note: For all questions, answer means none of the above answers is correct. Unless otherwise specified, all angles are measured in degrees. 1. The three angles of a triangle have measures given by 3 5,
More informationPerimeter. Area. Surface Area. Volume. Circle (circumference) C = 2πr. Square. Rectangle. Triangle. Rectangle/Parallelogram A = bh
Perimeter Circle (circumference) C = 2πr Square P = 4s Rectangle P = 2b + 2h Area Circle A = πr Triangle A = bh Rectangle/Parallelogram A = bh Rhombus/Kite A = d d Trapezoid A = b + b h A area a apothem
More informationGeometry Vocabulary. acute angle-an angle measuring less than 90 degrees
Geometry Vocabulary acute angle-an angle measuring less than 90 degrees angle-the turn or bend between two intersecting lines, line segments, rays, or planes angle bisector-an angle bisector is a ray that
More information11.1 Understanding Area
/6/05. Understanding rea Counting squares is neither the easiest or the best way to find the area of a region. Let s investigate how to find the areas of rectangles and squares Objective: fter studying
More informationGeometry Vocabulary Word Wall Cards
Geometry Vocabulary Word Wall Cards Mathematics vocabulary word wall cards provide a display of mathematics content words and associated visual cues to assist in vocabulary development. The cards should
More informationGeometry Vocabulary Math Fundamentals Reference Sheet Page 1
Math Fundamentals Reference Sheet Page 1 Acute Angle An angle whose measure is between 0 and 90 Acute Triangle A that has all acute Adjacent Alternate Interior Angle Two coplanar with a common vertex and
More informationGeometry CST Questions (2008)
1 Which of the following best describes deductive reasoning? A using logic to draw conclusions based on accepted statements B accepting the meaning of a term without definition C defining mathematical
More informationHigh School Mathematics Geometry Vocabulary Word Wall Cards
High School Mathematics Geometry Vocabulary Word Wall Cards Table of Contents Reasoning, Lines, and Transformations Basics of Geometry 1 Basics of Geometry 2 Geometry Notation Logic Notation Set Notation
More informationGEOMETRY is the study of points in space
CHAPTER 5 Logic and Geometry SECTION 5-1 Elements of Geometry GEOMETRY is the study of points in space POINT indicates a specific location and is represented by a dot and a letter R S T LINE is a set of
More information3. Radius of incenter, C. 4. The centroid is the point that corresponds to the center of gravity in a triangle. B
1. triangle that contains one side that has the same length as the diameter of its circumscribing circle must be a right triangle, which cannot be acute, obtuse, or equilateral. 2. 3. Radius of incenter,
More informationGeometry Review for Test 3 January 13, 2016
Homework #7 Due Thursday, 14 January Ch 7 Review, pp. 292 295 #1 53 Test #3 Thurs, 14 Jan Emphasis on Ch 7 except Midsegment Theorem, plus review Betweenness of Rays Theorem Whole is Greater than Part
More informationSOME IMPORTANT PROPERTIES/CONCEPTS OF GEOMETRY (Compiled by Ronnie Bansal)
1 SOME IMPORTANT PROPERTIES/CONCEPTS OF GEOMETRY (Compiled by Ronnie Bansal) 1. Basic Terms and Definitions: a) Line-segment: A part of a line with two end points is called a line-segment. b) Ray: A part
More informationSOL Chapter Due Date
Name: Block: Date: Geometry SOL Review SOL Chapter Due Date G.1 2.2-2.4 G.2 3.1-3.5 G.3 1.3, 4.8, 6.7, 9 G.4 N/A G.5 5.5 G.6 4.1-4.7 G.7 6.1-6.6 G.8 7.1-7.7 G.9 8.2-8.6 G.10 1.6, 8.1 G.11 10.1-10.6, 11.5,
More information5.6notes November 13, Based on work from pages , complete In an isosceles triangle, the &
chapter 5 Based on work from pages 178-179, complete In an isosceles triangle, the & & & drawn from the vertex angle of an isosceles triangle are the! 5.1 Indirect proof. G: DB AC F is the midpt. of AC
More informationpd 3notes 5.4 November 09, 2016 Based on work from pages , complete In an isosceles triangle, the &
chapter 5 Based on work from pages 178-179, complete In an isosceles triangle, the & & & drawn from the vertex angle of an isosceles triangle are the! 5.1 Indirect proof. G: DB AC F is the midpt. of AC
More informationMrs. Daniel s Geometry Vocab List
Mrs. Daniel s Geometry Vocab List Geometry Definition: a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Refectional Symmetry Definition:
More informationGEOMETRY FINAL REVIEW-ch.2
GEOMETRY FINAL REVIEW-ch.2 Which term best defines the type of reasoning used below? Abdul broke out in hives the last four times that he ate chocolate candy. Abdul concludes that he will break out in
More information8. T(3, 4) and W(2, 7) 9. C(5, 10) and D(6, -1)
Name: Period: Chapter 1: Essentials of Geometry In exercises 6-7, find the midpoint between the two points. 6. T(3, 9) and W(15, 5) 7. C(1, 4) and D(3, 2) In exercises 8-9, find the distance between the
More information3. The diagonals of a rectangle are 18 cm long and intersect at a 60 angle. Find the area of the rectangle.
Geometry Chapter 11 Remaining Problems from the Textbook 1. Find the area of a square with diagonals of length d. 2. The lengths of the sides of three squares are s, s + 1, and s + 2. If their total area
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource
More informationtheorems & postulates & stuff (mr. ko)
theorems & postulates & stuff (mr. ko) postulates 1 ruler postulate The points on a line can be matched one to one with the real numbers. The real number that corresponds to a point is the coordinate of
More informationGeometry Curriculum Map
Geometry Curriculum Map Unit 1 st Quarter Content/Vocabulary Assessment AZ Standards Addressed Essentials of Geometry 1. What are points, lines, and planes? 1. Identify Points, Lines, and Planes 1. Observation
More information2nd Semester Exam Review
Geometry 2nd Semester Exam Review Name: Date: Per: Trig & Special Right Triangles 1. At a certain time of the day, a 30 meter high building cast a shadow that is 31 meters long. What is the angle of elevation
More informationGEOMETRY PRACTICE TEST END OF COURSE version A (MIXED) 2. Which construction represents the center of a circle that is inscribed in a triangle?
GEOMETRY PRACTICE TEST END OF COURSE version A (MIXED) 1. The angles of a triangle are in the ratio 1:3:5. What is the measure, in degrees, of the largest angle? A. 20 B. 30 C. 60 D. 100 3. ABC and XYZ
More informationDepartment: Course: Chapter 1
Department: Course: 2016-2017 Term, Phrase, or Expression Simple Definition Chapter 1 Comprehension Support Point Line plane collinear coplanar A location in space. It does not have a size or shape The
More informationFinal Review Chapter 1 - Homework
Name Date Final Review Chapter 1 - Homework Part A Find the missing term in the sequence. 1. 4, 8, 12, 16,, 7. 2. -5, 3, -2, 1, -1, 0,, 3. 1, 5, 14, 30, 55,, 8. List the three steps of inductive reasoning:
More information3. Understanding Quadrilaterals
3. Understanding Quadrilaterals Q 1 Name the regular polygon with 8 sides. Mark (1) Q 2 Find the number of diagonals in the figure given below. Mark (1) Q 3 Find x in the following figure. Mark (1) Q 4
More informationName: Date: Period: Chapter 11: Coordinate Geometry Proofs Review Sheet
Name: Date: Period: Chapter 11: Coordinate Geometry Proofs Review Sheet Complete the entire review sheet (on here, or separate paper as indicated) h in on test day for 5 bonus points! Part 1 The Quadrilateral
More informationGeometry/Trigonometry Unit 5: Polygon Notes Period:
Geometry/Trigonometry Unit 5: Polygon Notes Name: Date: Period: # (1) Page 270 271 #8 14 Even, #15 20, #27-32 (2) Page 276 1 10, #11 25 Odd (3) Page 276 277 #12 30 Even (4) Page 283 #1-14 All (5) Page
More informationProving Triangles and Quadrilaterals Satisfy Transformational Definitions
Proving Triangles and Quadrilaterals Satisfy Transformational Definitions 1. Definition of Isosceles Triangle: A triangle with one line of symmetry. a. If a triangle has two equal sides, it is isosceles.
More information