Geometry Cumulative Study Guide Test 11
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1 Geometry umulative Study Guide Test 11 Numeric esponse Name: ate: eriod: 1.How many faces does a polyhedron with 14 vertices and 18 edges have? 2.Find the area of the trapezoid below in square centimeters. 7.A rectangular frame is divided by diagonal edges as shown below. If I is 16 inches long, what is the length of inches? in 16 in. I 10 cm 2 cm 16 cm roblem 8.A movie theater sells tickets for children, adults, and senior citizens. The theater gives discounts on all children and senior citizen tickets. onsider the statements a customer is a senior citizen and a customer gets a discount. What is the conjunction of these statements? Use a truth table to assess its truth. S 3.Using the diagram below, find if,, and. ( ( 9.Find the arc length of in the circle with radius 6 centimeters and of.. Give your answer in terms 4.Find the distance from point to the line. S 10.Order the measures of the angles in triangle from least to greatest. 5.A landscape architect is designing a garden in the shape of a regular hexagon. The side length of the garden measures 8 inches on a blueprint with the scale 1 inch: 10 feet. How many feet of fencing will be needed to surround the garden? 21 ft 11 ft 17 ft 11.Write the ratio comparing VU to S in three different ways, in simplest form. 6.A triangle is equiangular and has a perimeter of 27 inches. etermine the length of each side in inches
2 2 12.Find O W Y in the diagram below. 16.Write an indirect proof to prove Theorem 39-2: If one angle of a triangle is larger than another angle, then the side opposite the first angle is longer than the side opposite the second angle. Given: For, rove: X 13.Triangle AB has vertices,, and. Use a coordinate proof to show that triangle AB is an isosceles triangle. 17.Find A and AB in the diagram below. 14.Given the two triangles with values as shown below, show that they are similar triangles. F E 3 A 6 4 B 5 B Find the exact length of a hypotenuse of a right triangle if one leg measures 7 centimeters. A 15.Find the measure of,, and in the diagram below. 19.raw a pentagonal prism in one point perspective. Use a pencil with an eraser In the diagram below, is a midsegment of triangle E. Find the values of x and y y F 11 G x E
3 Geometry umulative Study Guide Test 11 Answer Section NUMEI ESONSE 1. ANS: 6 EF: Lesson 49: Introduction to Solids NAT: NTM G.1a MS: Geom_S05_ ANS: 90 EF: Lesson 22: Finding Areas of uadrilaterals NAT: NTM M.2b MS: Geom_S03_ ANS: 10 EF: Lesson 38: erpendicular and Angle Bisectors of Triangles MS: Geom_S04_ ANS: 4 EF: Lesson 42: Finding istance from a oint to a Line MS: Geom_S05_ ANS: 480 EF: Lesson 44: Applying Similarity NAT: NTM G.1b MS: Geom_S05_ ANS: 9 EF: Lesson 51: roperties of Isosceles and Equilateral Triangles NAT: NTM G.1a MS: Geom_S06_ ANS: 32 EF: Lesson 52: roperties of ectangles, hombuses, and Squares MS: Geom_S06_00056 OBLEM 8. ANS: A customer is a senior citizen and gets a discount; true Statement p Statement q onjunction p and q T T T T F F F T F F F F The conjunction is true, because the theater gives discounts (q is true) to senior citizens (p is true).
4 4 EF: Lesson 20: Interpreting Truth Tables NAT: NTM.1d MS: Geom_S02_ ANS: centimeters EF: Lesson 35: Finding Arc Lengths and Areas of Sectors NAT: NTM G.1a MS: Geom_S04_ ANS: EF: Lesson 39: Inequalities in a Triangle NAT: NTM G.1a MS: Geom_S04_ ANS: 1 to 6; 1 : 6; EF: Lesson 41: atios, roportions, and Similarity NAT: NTM G.1b MS: Geom_S05_ ANS: EF: Lesson 43: hords, Secants, and Tangents MS: Geom_S05_ ANS: By the definition of an isosceles triangle, two of its sides have equal length. To verify that calculate each of the side lengths. is an isosceles triangle, Since and are the same length, is an isosceles triangle. EF: Lesson 45: Introduction to oordinate roofs NAT: NTM.1c MS: Geom_S05_ ANS:
5 5 EF: Lesson 46: Triangle Similarity: AA, SSS, SAS NAT: NTM G.1b MS: Geom_S05_ ANS: ; ; EF: Lesson 47: ircles and Inscribed Angles MS: Geom_S05_ ANS: Assume that. ase 1: If, then, because if one side is longer than another side, then the angle opposite the longer side is larger. This contradicts given information, so B is not less than BA. ase 2: If, then by the Isosceles Triangle Theorem. This contradicts given information, so B is not equal to BA. Therefore,. EF: Lesson 48: Indirect roofs NAT: NTM.1c MS: Geom_S05_ ANS: A = 5.3, AB = 6.6 EF: Lesson 50: Geometric Mean NAT: NTM G.1d MS: Geom_S05_ ANS: centimeters EF: Lesson 53: ight Triangles MS: Geom_S06_ ANS: Sample: EF: Lesson 54: epresenting Solids NAT: NTM G.4a MS: Geom_S06_ ANS:, EF: Lesson 55: Triangle Midsegment Theorem MS: Geom_S06_00080 st 10 MS: Geom_S05_00095
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1 Formula: Area of a Trapezoid 2 Formula (given): Volume of a Pyramid V = 1/3 BH What does B represent? 3 Centroid 4 Midsegment of a triangle 5 Slope formula 6 Point Slope Form of Linear Equation *can
The radius for a regular polygon is the same as the radius of the circumscribed circle.
Perimeter and Area The perimeter and area of geometric shapes are basic properties that we need to know. The more complex a shape is, the more complex the process can be in finding its perimeter and area.
Course Name - Strategic Math - Geometry Qtr./Mon. Content HSCE Essential Skills Assessment Vocabulary
Sem. 1 Sept. Points & Lines G1.1.6 Recognize Euclidean geometry as an axiom system. Know the key axioms and understand the meaning of and distinguish between undefined terms, axioms, definitions, and theorems.
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