REVIEW Geometry B Chapter 7 (8.1, 9.5)
|
|
|
- Sharon Osborne
- 5 years ago
- Views:
Transcription
1 Class: Date: REVIEW Geometry B Chapter 7 (8.1, 9.5) Multiple Choice Identify the choice that best completes the statement or answers the question. 1. a..f b..g c..h d..i 2. Figure TQRS BCDE. Name a pair of corresponding sides? a. TQ and BE b. TS and CD c. RS and BC d. QR and CD Are the polygons similar? If they are, write a similarity statement and give the similarity ratio. 3. In QRS, QR = 4, RS = 15, and m R = 36. In UVT, VT = 8, TU = 32, and m T = 36. a. QRS VTU ; 15 c. SRQ UTV ; b. RSQ TUV ; 1 2 d. The triangles are not similar. 1
2 The polygons are similar, but not necessarily drawn to scale. Find the values of x and y. 4. The pentagons are regular. a. x = 27, y = 4 c. x = 28, y = 5 b. x = 27, y = 5 d. x = 28, y = 4 State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. 5. In QRS, QR = 16, RS = 64, and m R = 29. In UVT, VT = 8, TU = 32, and m T = 29. a. SRQ UTV ; ASA c. RSQ TUV ; ASA b. QRS VTU ; ASA d. The triangles are not similar. 6. a. ADB CDB; SAS c. ADB CDB; SSS b. ABD CDB; SAS d. The triangles are not similar. 7. Michele wanted to measure the height of her school s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot. a. 20 ft b ft c. 55 ft d. 25 ft 2
3 8. 5 and 6 a. 30 b. 6 c. 35 d. 30 Solve for a and b. 9. a. a = , b = b. a = , b = Find the values of x and y, given that OP Ä NQ. c. a = , b = d. a = 20 21, b = a. x = 10; y = 25.5 c. x = 13; y = 25.5 b. x = 20; y = 17 d. x = 25.5; y = 10 Solve for x. a b. 3 4 c. 17 d
4 12. a b c. 2 5 d. 91 Short Answer - Show your work. 13. Determine whether the figures are similar. 14. ABCD ~ WXYZ. AD = 6, DC = 3, and WZ = 47. Find YZ. The figures are not drawn to scale. Find the geometric mean of the pair of numbers and 9 4
5 16. Given: PQ Ä BC. Find the length of AQ. The diagram is not drawn to scale. 17. Solve for x Find the length of the missing side. The triangle is not drawn to scale. 5
6 Find the length of the missing side. Leave your answer in simplest radical form A triangle has sides of lengths 6, 2, and 7. Is it a right triangle? Explain The dashed triangle is a dilation image of the solid triangle. Find the center and scale factor of the dilation. 6
7 REVIEW Geometry B Chapter 7 (8.1, 9.5) Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: L2 REF: 9-5 Dilations OBJ: Locating dilation images NAT: NAEP 2005 G2c ADP K.7 TOP: 9-5 Example 2 KEY: dilation enlargement scale factor word problem 2. ANS: D PTS: 1 DIF: L2 REF: 7-2 Similar Polygons TOP: 7-2 Example 1 KEY: similar polygons corresponding sides 3. ANS: D PTS: 1 DIF: L2 REF: 7-2 Similar Polygons TOP: 7-2 Example 2 KEY: similar polygons corresponding sides corresponding angles 4. ANS: A PTS: 1 DIF: L3 REF: 7-2 Similar Polygons TOP: 7-2 Example 3 KEY: corresponding sides proportion 5. ANS: D PTS: 1 DIF: L2 REF: 7-3 Proving Triangles Similar OBJ: The AA Postulate and the SAS and SSS Theorems NAT: NAEP 2005 G2e ADP I.1.2 ADP K.3 TOP: 7-3 Example 2 KEY: corresponding sides 6. ANS: A PTS: 1 DIF: L2 REF: 7-3 Proving Triangles Similar OBJ: The AA Postulate and the SAS and SSS Theorems NAT: NAEP 2005 G2e ADP I.1.2 ADP K.3 TOP: 7-3 Example 2 KEY: Side-Angle-Side Similarity Theorem corresponding sides 7. ANS: A PTS: 1 DIF: L2 REF: 7-3 Proving Triangles Similar OBJ: Applying AA, SAS, and SSS Similarity NAT: NAEP 2005 G2e ADP I.1.2 ADP K.3 TOP: 7-3 Example 4 KEY: Angle-Angle Similarity Postulate word problem 8. ANS: D PTS: 1 DIF: L3 REF: 7-4 Similarity in Right Triangles NAT: NAEP 2005 G2e ADP I.1.2 ADP K.3 TOP: 7-4 Example 1 KEY: geometric mean proportion 9. ANS: A PTS: 1 DIF: L3 REF: 7-4 Similarity in Right Triangles NAT: NAEP 2005 G2e ADP I.1.2 ADP K.3 TOP: 7-4 Example 2 KEY: corollaries of the geometric mean proportion 10. ANS: A PTS: 1 DIF: L3 REF: 7-5 Proportions in Triangles OBJ: Using the Side-Splitter Theorem NAT: NAEP 2005 G2e ADP I.1.2 ADP J.5.1 ADP K.3 TOP: 7-5 Example 1 KEY: Side-Splitter Theorem 1
8 11. ANS: A PTS: 1 DIF: L3 REF: 7-5 Proportions in Triangles OBJ: Using the Side-Splitter Theorem NAT: NAEP 2005 G2e ADP I.1.2 ADP J.5.1 ADP K.3 TOP: 7-5 Example 2 KEY: corollary of Side-Splitter Theorem 12. ANS: A PTS: 1 DIF: L2 REF: 7-4 Similarity in Right Triangles NAT: NAEP 2005 G2e ADP I.1.2 ADP J.5.1 ADP K.3 TOP: 7-4 Example 2 KEY: corollaries of the geometric mean proportion SHORT ANSWER 13. ANS: not enough information PTS: 1 DIF: L2 REF: 7-2 Similar Polygons TOP: 7-2 Example 2 KEY: similar polygons 14. ANS: 23.5 PTS: 1 DIF: L2 REF: 7-2 Similar Polygons TOP: 7-2 Example 3 KEY: corresponding sides proportion 15. ANS: 48 PTS: 1 DIF: L2 REF: 7-4 Similarity in Right Triangles NAT: NAEP 2005 G2e ADP I.1.2 ADP K.3 TOP: 7-4 Example 1 KEY: geometric mean proportion 16. ANS: 4 PTS: 1 DIF: L2 REF: 7-5 Proportions in Triangles OBJ: Using the Side-Splitter Theorem NAT: NAEP 2005 G2e ADP I.1.2 ADP J.5.1 ADP K.3 TOP: 7-5 Example 1 KEY: Side-Splitter Theorem 17. ANS: 33 PTS: 1 DIF: L2 REF: 7-4 Similarity in Right Triangles NAT: NAEP 2005 G2e ADP I.1.2 ADP J.5.1 ADP K.3 TOP: 7-4 Example 2 KEY: corollaries of the geometric mean proportion 2
9 18. ANS: 9.75 ft PTS: 1 DIF: L2 REF: 9-5 Dilations OBJ: Locating dilation images NAT: NAEP 2005 G2c ADP K.7 TOP: 9-5 Example 2 KEY: dilation enlargement scale factor word problem 19. ANS: 13 PTS: 1 DIF: L2 REF: 8-1 The Pythagorean Theorem and Its Converse OBJ: The Pythagorean Theorem NAT: NAEP 2005 G3d ADP I.4.1 ADP J.1.6 ADP K.1.2 ADP K.5 ADP K.10.3 TOP: 8-1 Example 1 KEY: Pythagorean Theorem leg hypotenuse 20. ANS: 2 34 cm PTS: 1 DIF: L2 REF: 8-1 The Pythagorean Theorem and Its Converse OBJ: The Pythagorean Theorem NAT: NAEP 2005 G3d ADP I.4.1 ADP J.1.6 ADP K.1.2 ADP K.5 ADP K.10.3 TOP: 8-1 Example 2 KEY: Pythagorean Theorem leg hypotenuse 21. ANS: no; PTS: 1 DIF: L2 REF: 8-1 The Pythagorean Theorem and Its Converse OBJ: The Converse of the Pythagorean Theorem NAT: NAEP 2005 G3d ADP I.4.1 ADP J.1.6 ADP K.1.2 ADP K.5 ADP K.10.3 TOP: 8-1 Example 4 KEY: Pythagorean Theorem 22. ANS: reduction; scale factor: 1 2 PTS: 1 DIF: L2 REF: 9-5 Dilations OBJ: Locating dilation images NAT: NAEP 2005 G2c ADP K.7 TOP: 9-5 Example 1 KEY: dilation reduction center of dilation scale factor 23. ANS: center: (0, 0); scale factor: 1 3 PTS: 1 DIF: L2 REF: 9-5 Dilations OBJ: Locating dilation images NAT: NAEP 2005 G2c ADP K.7 TOP: 9-5 Example 1 KEY: dilation reduction center of dilation scale factor 3
Analytic Geometry for College Graduates Unit 1 Study Guide
Name: Class: Date: ID: A Analytic Geometry for College Graduates Unit 1 Study Guide 1. Find the values of x and y. The diagram is not to scale. 3. Use the information given in the diagram. Tell why MN
Chapter 7 Practice Test
hapter 7 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. If then 3a =. a. 3b b. 10b c. 5b d. 6b 2. If, which equation must be true? 3. If,
Geometry SIA #2. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Geometry SIA #2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of x. a. 4 b. 8 c. 6.6 d. 6 2. Find the length of the midsegment.
GEOMETRY B: CHAPTER 10 PRACTICE TEST
Name: Class: Date: GEOMETRY B: CHAPTER 10 PRACTICE TEST Short Answer 1. An isosceles triangle has area of 15 ft. If the base is 14 ft, what is the length of the legs? Round your answer to the nearest tenth.
geo_unit7_review_mc Name: Class: Date: 1. Find the sum of the measures of the angles of the figure. A B C. 720 D. 900
Name: Class: Date: geo_unit7_review_mc 1. Find the sum of the measures of the angles of the figure. A. 1440 B. 1080 C. 7 D. 900 2. What is the sum of the angle measures of a 25-gon? A. 4140 B. 43 C. 4500
sample 9 final 512 Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: sample 9 final 512 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In each pair of triangles, parts are congruent as marked. Which pair
Chapter 6. Similarity
Chapter 6 Similarity 6.1 Use Similar Polygons Objective: Use proportions to identify similar polygons. Essential Question: If two figures are similar, how do you find the length of a missing side? Two
Geometry Agenda. Week 4.6 Objective Stamp Grade. Similar Polygons. Practice. Proving Triangles Similar. Practice. Practice
Name Period Geometry Agenda Week.6 Objective Stamp Grade Monday February 8, 2016 Tuesday February 9, 2016 Wednesday February 10, 2016 Thursday February 11, 2016 Friday February 12, 2016 Similar Polygons
Geometry SIA #2 Practice Exam
Class: Date: Geometry SIA #2 Practice Exam Short Answer 1. Justify the last two steps of the proof. Given: RS UT and RT US Prove: RST UTS Proof: 1. RS UT 1. Given 2. RT US 2. Given 3. ST TS 3.? 4. RST
Cross Product Property Ratio
Ch 7: Similarity 7 1 Ratios and Proportions 7 2 Similar Polygons 7 3 Proving Triangles Similar 7 4 Similarity in Right Triangles 7 5 Proportions in Triangles 7 1 Ratios and Proportions: Focused Learning
Chapters 7 & 8. Parallel and Perpendicular Lines/Triangles and Transformations
Chapters 7 & 8 Parallel and Perpendicular Lines/Triangles and Transformations 7-2B Lines I can identify relationships of angles formed by two parallel lines cut by a transversal. 8.G.5 Symbolic Representations
Geometry B Midterm REVIEW
Geometr Midterm REVIEW Name HR: 1. The measures of the angles of a triangle are in the etended ratio 2 : 3 : 7. What is the measure of the largest angle? 2. The ratio of length to width in a rectangle
Geometry Ch 4 Practice Exam
Name: Class: Date: Geometry Ch 4 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If BCDE is congruent to OPQR, then BC is congruent to?.
Lesson 10: Special Relationships within Right Triangles Dividing into Two Similar Sub-Triangles
: Special Relationships within Right Triangles Dividing into Two Similar Sub-Triangles Learning Targets I can state that the altitude of a right triangle from the vertex of the right angle to the hypotenuse
Geo, Chap 8 Practice Test, EV Ver 1
Name: Class: Date: ID: A Geo, Chap 8 Practice Test, EV Ver 1 Short Answer Find the length of the missing side. Leave your answer in simplest radical form. 1. (8-1) 2. (8-1) A grid shows the positions of
Accel. Geometry - Concepts Similar Figures, Right Triangles, Trigonometry
Accel. Geometry - Concepts 16-19 Similar Figures, Right Triangles, Trigonometry Concept 16 Ratios and Proportions (Section 7.1) Ratio: Proportion: Cross-Products Property If a b = c, then. d Properties
Name: Class: Date: 5. Shown below is an illustration of the.
Name: Class: Date: StudyGuide Unit 7 1. Determine if there is enough information to prove each pair of triangles are congruent by SSS or SAS. Write the congruence statements to justify your reasoning.
UNIT 5 SIMILARITY AND CONGRUENCE
UNIT 5 SIMILARITY AND CONGRUENCE M2 Ch. 2, 3, 4, 6 and M1 Ch. 13 5.1 Parallel Lines Objective When parallel lines are cut by a transversal, I will be able to identify angle relationships, determine whether
Geometry 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
Geometry Proofs, Transformations, and Constructions Study Guide
Name: Class: Date: ID: A Geometry Proofs, Transformations, and Constructions Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In miniature golf,
Geometry SIA #3. Name: Class: Date: Short Answer. 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1).
Name: Class: Date: ID: A Geometry SIA #3 Short Answer 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1). 2. If the perimeter of a square is 72 inches, what
2. Find the distance between points P(7, 4) and Q(1, 2) to the nearest tenth.
Permitted resources: 2016 2017 Geometry Midterm Review FSA Approved calculator Geometry FSA Reference Sheet 1. Rectangle ABCD is shown below. Find the midpoint of diagonal AC. 2. Find the distance between
Name: Class: Date: ID: A
Name: Class: Date: ID: A Ch. 6 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A doorway of width 3.25 ft and height 7.25 ft is similar to
Semester 1 Midterm Study Guide
Class: Date: Semester 1 Midterm Study Guide 1. If EF = 4x + 15, FG = 39, and EG = 110, find the value of x. The drawing is not to scale. A. x = 56 C. x = 14 B. x = 16 D. x = 2 2. If m DEF = 119, then what
Ratios, Proportions, and Similarity
Ratios, Proportions, and Similarity A ratio is a comparison of two values by division. The ratio of two quantities, a and b, can be written in three ways: a to b, a:b, or a b (where b 0). A statement that
Geometry Final Exam Study Guide
Geometry Final Exam Study Guide Short Answer 1. Find the geometric mean between each pair of numbers. 256 and 841 2. Find x. Determine whether ΔQRS is a right triangle for the given vertices. Explain.
1 William is drawing pictures of cross sections of the right circular cone below.
1 William is drawing pictures of cross sections of the right circular cone below. Which drawing can not be a cross section of a cone? 1) 2) 3) 4) 2 An equation of a line perpendicular to the line represented
3. Given the similarity transformation shown below; identify the composition:
Midterm Multiple Choice Practice 1. Based on the construction below, which statement must be true? 1 1) m ABD m CBD 2 2) m ABD m CBD 3) m ABD m ABC 1 4) m CBD m ABD 2 2. Line segment AB is shown in the
SC32: I can use ratios to set up a proportion and solve for a missing value.
GEOMETRY SEM 2 FINAL EXAM REVIEW 1 Name: Hour: Formulas: πr 2 + πrl 2πr 2 + 2πrh 4πr 2 4 3 πr3 Bh 1 3 Bh SC31: I can identify a dilation as a reduction or enlargement. I can determine the scale factor
PROVE THEOREMS INVOLVING SIMILARITY
PROVE THEOREMS INVOLVING SIMILARITY KEY IDEAS 1. When proving that two triangles are similar, it is sufficient to show that two pairs of corresponding angles of the triangles are congruent. This is called
Similarity Review day 2
Similarity Review day 2 DD, 2.5 ( ΔADB ) A D B Center (, ) Scale Factor = C' C 4 A' 2 A B B' 5 The line y = ½ x 2 is dilated by a scale factor of 2 and centered at the origin. Which equation represents
FIRST TERM EXAM REVISION WORKSHEET AY Grade 10 Mathematics. Algebra. Section A: Vocabulary
FIRST TERM EXAM REVISION WORKSHEET AY 06-07 Grade 0 Mathematics Name: Section: Algebra Section A: Vocabulary Fill in the blanks using the words given in the following table: geometric sequence arithmetic
Geometry EOC Practice Test #1
Class: Date: Geometry EOC Practice Test #1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write a conditional statement from the following statement:
Practice Geometry Semester 2 Exam
Practice Geometry Semester 2 Exam Short Answer 1. Explain why the triangles are similar. Then find the value of x. 6 2 11 > > x The polygons are similar, but not necessarily drawn to scale. Find the values
Geometry Quarter 4 Test Study Guide
Geometry Quarter 4 Test 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,
GEOMETRY 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
Name: Class: Date: ID: A
Name: Class: _ Date: _ ID: A Review Package 6 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Congruent sides between two objects tell us: a. That the
Think about it. Manufacturing? Architecture? Medicine?
Warm-Up 5 minutes IF you have an appropriate device, find at least one example of where ratios and proportions are used in the real world Think about it Before a building is built, an architect has to
Geometry 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,
**If all seven assignments are completed by the day the Mod 12 test is given you will receive 3 extra points on the test. **
Geometry Mod 11 &12 Similarity Section 6.1: I can solve problems by writing and using rates and ratios. I can solve problems by writing and solving proportions. I can use the geometric mean to solve problems.
Geometry - Chapter 12 Test SAMPLE
Class: Date: Geometry - Chapter 12 Test SAMPLE Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of x. If necessary, round your answer to
Geometry, 8.1: Ratio and Proportion
Geometry, 8.1: Ratio and Proportion Ratio examples: Model car: Recipe: Mix: 1 gallon water The juice from 2 lemons 2 cups sugar This makes 1 gallon of lemonade. What would you mix if you needed to make
Geometry 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,
fall08ge 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.
4c. The angles of a triangle are in the ratio 4:5:9. Find the measure of the smallest angle.
GEOMETRY SEM 2 FINAL EXAM REVIEW 1 Name: Hour: SC31: I can identify a dilation as a reduction or enlargement. I can determine the scale factor of a dilation. 1. Which choice below correctly identifies
a b denominators cannot be zero must have the same units must be simplified 12cm 6ft 24oz 14ft 440yd m 18in 2lb 6yd 2mi
Ratio of a to b a b a:b Simplifying Ratios: Converting: denominators cannot be zero must have the same units must be simplified 1 m = 100 cm 12 in = 1 ft 16 oz= 1 lb 3 ft = 1 yd 5, 280 ft = 1 mi 1,760
Geometry Level 2 Final Exam Review Due, with work, the day of your exam!!!!!!!!
Geometry Level 2 Final Exam Review 2015-2016 Due, with work, the day of your exam!!!!!!!! In addition to reviewing all quizzes, tests, homework, and notes assigned throughout the second semester, students
MATH 2 EXAM REVIEW 3
MATH 2 EXAM REVIEW 3 Name: Date: 1. Triangle PQR is similar to triangle VWX. 3. In the figure below, E is the midpoint of D. What is the length of PR? A. 7.5 in.. 9.5 in.. 10.5 in. D. 13.5 in. What is
A 20-foot flagpole is 80 feet away from the school building. A student stands 25 feet away from the building. What is the height of the student?
Read each question carefully. 1) A 20-foot flagpole is 80 feet away from the school building. A student stands 25 feet away from the building. What is the height of the student? 5.5 feet 6.25 feet 7.25
Chapter 6: Similarity
Name: Chapter 6: Similarity Guided Notes Geometry Fall Semester CH. 6 Guided Notes, page 2 6.1 Ratios, Proportions, and the Geometric Mean Term Definition Example ratio of a to b equivalent ratios proportion
Are You Ready? Ordered Pairs
SKILL 79 Ordered Pairs Teaching Skill 79 Objective Plot ordered pairs on a coordinate plane. Remind students that all points in the coordinate plane have two coordinates, an x-coordinate and a y-coordinate.
Station 1 Pythagorean Theorem
Station 1 Pythagorean Theorem Solve for x. Round to the nearest tenth or simplest radical form. 1. 2. 3. An Olympic-size swimming pool is approximately 50 meters long by 25 meters wide. What distance will
Geometry Final Assessment
Geometry Final Assessment Identify the choice that best completes the statement or answers the question. 1) Write a conditional statement from the following statement: a) A horse has 4 legs. b) If it has
Section 6 1: Proportions Notes
Date: Section 6 1: Proportions Notes Write Ratios: Ratio: Ways to express the ratio a to b: Example #1: The total number of students who participate in sports programs at Woodland Hills High School is
Name: Pythagorean Theorem February 3, 2014
1. John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? 5. A 26 foot long ladder is leaning up against a house with its base 10 feet away from
15 x. x x. x 2. x y. c d. Honors Geometry Chapter 8 Review. Find the value of x and/or y in each proportion. x Solve for x. 6. Solve for x.
Honors Geometry hapter 8 Review Name Find the value of x and/or y in each proportion. 8 5 1. 2. y y 14 x 1 x 5 x 3 x 2 3. x 5 20 15 x 4. x y 2x y y x 9 5 9 5 4 5. Solve for x. x x 1 x 4 x 8 6. Solve for
What is a ratio? What is a proportion? Give an example of two ratios that reduce to the same value
Geometry A Chapter 8 8.1 Ratio and Proportion What is a ratio? What is a proportion? Give an example of two ratios that reduce to the same value How do you solve a proportion? ex: 3x + 2 = 5x - 1 4 6 In
4.6. You would think that determining the tallest building in the world would be pretty. Indirect Measurement. Application of Similar Triangles
Indirect Measurement Application of Similar Triangles.6 Learning Goals Key Term In this lesson, you will: Identify similar triangles to calculate indirect measurements. Use proportions to solve for unknown
Geo - CH3 Prctice Test
Geo - CH3 Prctice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Identify the transversal and classify the angle pair 11 and 7. a. The transversal
0613ge. Geometry Regents Exam 0613
wwwjmaporg 0613ge 1 In trapezoid RSTV with bases and, diagonals and intersect at Q If trapezoid RSTV is not isosceles, which triangle is equal in area to? 2 In the diagram below, 3 In a park, two straight
Name Class Date. Find corresponding parts using the order of the letters in the names.
4-1 Reteaching Congruent Figures Given ABCD QRST, find corresponding parts using the names. Order matters. For example, This shows that A corresponds to Q. Therefore, A Q. For example, This shows that
Geometry Final Exam REVIEW Fall 2015
Geometry Final Exam REVIEW Fall 2015 Use the diagram to answer questions 1 and 2. Name: 6. Which theorem proves that lines j and k are parallel? 1. Which angles are vertical angles? A) 1 and 2 C) 3 and
Figure 1 is dilated to produce Figure 2. In each of the following, identify the scale factor (SF) and the center of dilation.
Dilations Fill in the rows for "Dilations" in the Unit Focus chart. Is it an isometry? (or angle measure) is preserved, but (or length) is not preserved. Therefore, a dilation is a similarity transformation.
15. K is the midpoint of segment JL, JL = 4x - 2, and JK = 7. Find x, the length of KL, and JL. 8. two lines that do not intersect
Name: Period Date Pre-AP Geometry Fall Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1. three non-collinear points 2. one line in three different ways
Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º.
Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. No-Choice Theorem If two
Geometry eday #2 Assignment
Name Date Score Quadrilaterals Geometry eday #2 Assignment 1. If the diagonals of a quadrilateral are perpendicular bisectors of equal length, then the quadrilateral is a. (Give the strongest condition.)
Geometry EOC Practice Test #1
Class: Date: Geometry EOC Practice Test #1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write a conditional statement from the following statement:
Shapes and Designs - Unit Test Review Sheet
Name: Class: Date: ID: A Shapes and Designs - Unit Test Review Sheet 1. a. Suppose the measure of an angle is 25. What is the measure of its complementary angle? b. Draw the angles to show that you are
Example Items. Geometry
Example Items Geometry Geometry Example Items are a representative set of items for the ACP. Teachers may use this set of items along with the test blueprint as guides to prepare students for the ACP.
UNIT 4 SIMILARITY AND CONGRUENCE. M2 Ch. 2, 3, 4, 6 and M1 Ch. 13
UNIT 4 SIMILARITY AND CONGRUENCE M2 Ch. 2, 3, 4, 6 and M1 Ch. 13 .1 Parallel Lines Objective When parallel lines are cut by a transversal, I will be able t identify angle relationships, determine whether
INTEGRATED MATH 2: TRIMESTER A FINAL REVIEW #1
INTEGRATED MATH 2: TRIMESTER A FINAL REVIEW #1 1) Based on the markings, name each polygon below with the most specific name. Note: The polygons are not drawn to scale. c) 2) Place the polygons from your
CP Geometry Quarter 2 Exam
CP Geometry Quarter 2 Exam Geometric Relationships and Properties, Similarity Name: Block: Date: Section Points Earned Points Possible I 60 II 20 III 20 Total 100 I. Multiple Choice 3 points each Identify
Geometry Cumulative Study Guide Test 6
Geometry Cumulative Study Guide Test 6 Numeric Response 1. Find the base of a rectangle, in inches, with an area of 0 square inches and height of 6 inches. 2. Find the area, in square inches, of the trapezoid
Intuitive Geometry Semester 2 Practice Exam
1. tire has a radius of 15 inches. What is the approximate circumference, in inches, of the tire?. 707 in.. 188 in.. 94 in.. 47 in. 2. In the figure below, adjacent sides of the polygon are perpendicular..
Use this space for computations. 3 In parallelogram QRST shown below, diagonal TR. is drawn, U and V are points on TS and QR,
3 In parallelogram QRST shown below, diagonal TR is drawn, U and V are points on TS and QR, respectively, and UV intersects TR at W. Use this space for computations. If m S 60, m SRT 83, and m TWU 35,
Indirect Measurement Application of Similar Triangles. Identify similar triangles to calculate. indirect measurement
Indirect Measurement Application of Similar Triangles. LEARNING GOALS In this lesson, you will: Identify similar triangles to calculate indirect measurements. Use proportions to solve for unknown measurements.
Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor of the dilation.
Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor of the dilation. 1. Triangle B is larger than triangle A, so the dilation is an enlargement. The
Honors Geometry Final Study Guide 2014
Honors Geometry Final Study Guide 2014 1. Find the sum of the measures of the angles of the figure. 2. What is the sum of the angle measures of a 37-gon? 3. Complete this statement: A polygon with all
Geometry SIA #3 Practice Exam
Class: Date: Geometry SIA #3 Practice Exam Short Answer 1. Which point is the midpoint of AE? 2. Find the midpoint of PQ. 3. Find the coordinates of the midpoint of the segment whose endpoints are H(2,
Unit 5 Applying Similarity of Triangles
Unit 5 Applying Similarity of Triangles Lesson 1: Proof of the Triangle Side Splitter Theorem Opening Exercise We are going to construct a proof designed to demonstrate the following theorem: A line segment
Use the figure to name each of the following:
Name: Period Date Pre-AP Geometry Fall 2016 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points 2) one line in three different
Name Date Class. When the bases are the same and you multiply, you add exponents. When the bases are the same and you divide, you subtract exponents.
2-1 Integer Exponents A positive exponent tells you how many times to multiply the base as a factor. A negative exponent tells you how many times to divide by the base. Any number to the 0 power is equal
Unit 8 Similarity and Trigonometry
Unit 8 Similarity and Trigonometry Target 8.1: Prove and apply properties of similarity in triangles using AA~, SSS~, SAS~ 8.1a Prove Triangles Similar by AA ~, SSS~, SAS~ 8.1b Use Proportionality Theorems
Geometry CP. Unit 4 (Congruency of Triangles) Notes
Geometry CP Unit 4 (Congruency of Triangles) Notes S 4.1 Congruent Polygons S Remember from previous lessons that is something is congruent, that it has the same size and same shape. S Another way to look
8. 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
Similar Polygons. These rectangles are not similar. In the investigation, you will explore what makes polygons similar.
CONDENSED LESSON 11.1 Similar Polygons In this lesson, you Learn what it means for two figures to be similar Use the definition of similarity to find missing measures in similar polygons Explore dilations
Content Standards G.MG.3 Apply geometric methods to solve problems (e.g., designing an object or structure to satisfy physical constraints or
Content Standards G.MG.3 Apply geometric methods to solve problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based
Indirect proof. Write indirect proof for the following
Indirect proof Write indirect proof for the following 1.. Practice C A parallelogram is a quadrilateral with two sets of congruent parallel sides. The opposite angles in a parallelogram are congruent.
Geometry B Semester REVIEW
Geometr Semester REVIEW Name 1. What is the solution of the proportion? 2. The measures of the angles of a triangle are in the extended ratio 2 : 6 : 10. What is the measure of the smallest angle? 3. salsa
Geometry Midterm 1-5 STUDY GUIDE
Geometry Midterm 1-5 STUDY GUIDE Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Is the line through points P( 7, 6) and Q(0, 9) parallel to the line through
Geometry - Final Exam Study Guide
Geometry - Final Exam Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the values of x and y. x = 28, y = 104 x = 76, y = 56 x = 76, y
ID: A Amphitheater School District End Of Year Geometry Performance Assessment Review
Amphitheater School District End Of Year Geometry Performance Assessment Review This packet is intended to support student preparation and review of the geometry course concepts for the district common
Geometry EOC Practice Test #1
Name: Class: Date: Geometry EOC Practice Test #1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What other information is needed in order to prove the
Triangles Chapter Problems
Classify the Triangles by Sides or Angles Class Work Triangles Chapter Problems In problems #1-10, choose the most appropriate description for the given triangle. (quilateral, Scalene, Isosceles, Obtuse,
Geometry- Unit 6 Notes. Simplifying Radicals
Geometry- Unit 6 Notes Name: Review: Evaluate the following WITHOUT a calculator. a) 2 2 b) 3 2 c) 4 2 d) 5 2 e) 6 2 f) 7 2 g) 8 2 h) 9 2 i) 10 2 j) 2 2 k) ( 2) 2 l) 2 0 Simplifying Radicals n r Example
17-18 ACP Geometry Final Exam REVIEW
17-18 ACP Geometry Final Exam REVIEW Chapter 7 Similarity 1. Given ABC DEF. Find the value of x. Justify your answer. Are the following triangles similar? If so, justify your answer, and write a similarity
Geometry - Final Exam Review
Geometry - Final Exam Review Write your answers and show all work on these pages. This review is printed on both sides of the paper and has 28 questions, and it will be checked daily and graded! 1. Part
17-18 CP Geometry Final Exam REVIEW
1 17-18 CP Geometry Final Exam REVIEW Identify the scale factor of each dilation. 1. 2. Dilate the following given each scale factor. Be sure to label the images properly. 1 3. Scale factor of 4 4. Scale
POTENTIAL REASONS: Definition of Congruence:
Sec 1.6 CC Geometry Triangle Proofs Name: POTENTIAL REASONS: Definition of Congruence: Having the exact same size and shape and there by having the exact same measures. Definition of Midpoint: The point
Geometry: Chapter 7. Name: Class: Date: 1. Find the length of the leg of this right triangle. Give an approximation to 3 decimal places.
Name: Class: Date: Geometry: Chapter 7 1. Find the length of the leg of this right triangle. Give an approximation to 3 decimal places. a. 12.329 c. 12.650 b. 11.916 d. 27.019 2. ABC is a right triangle.