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Geometry Final Exam, Exams of Geometry

Geometry

Geometry Final Exam. Multiple Choice. Identify the letter of the choice that best completes the statement or answers the question.

Typology: Exams

2022/2023

Uploaded on 03/01/2023

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Geometry Final Exam
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
____ 1. If and then what is the measure of The diagram is not to
scale.
a.
74
b.
40
c.
20
d.
54
____ 2. M is the midpoint of for the points C(3, 4) and F(9, 8). Find MF.
a.
b.
c.
26
d.
13
____ 3. Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The
circle has diameter 14 inches.
a.
42.1
b.
10.5
c.
153.9
d.
196
____ 4. When a conditional and its converse are true, you can combine them as a true ____.
a.
counterexample
c.
unconditional
b.
biconditional
d.
hypothesis
____ 5. If and are supplementary angles and , find and
a.
72, 18
b.
144, 36
c.
18, 72
d.
36, 144
____ 6.
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff

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Geometry Final Exam

Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. ____ 1. If and then what is the measure of The diagram is not to scale. a. 74 b. 40 c. 20 d. 54 ____ 2. M is the midpoint of for the points C (3, 4) and F (9, 8). Find MF. a. b. c. 26 d. 13 ____ 3. Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The circle has diameter 14 inches. a. (^) 42.1 b. (^) 10.5 c. (^) 153.9 d. (^196) ____ 4. When a conditional and its converse are true, you can combine them as a true ____. a. counterexample c. unconditional b. biconditional d. hypothesis ____ 5. If and are supplementary angles and , find and a. 72, 18 b. 144, 36 c. 18, 72 d. 36, 144 ____ 6.

a. b. c. d. ____ 7. What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38° and the two congruent sides each measure 21 units? a. 71° b. 142° c. 152° d. 76° ____ 8. Find the value of x. The diagram is not to scale. a. 32 b. 50 c. 64 d. 80 ____ 9. What is the inverse of this statement? If he speaks Arabic, he can act as the interpreter. a. If he does not speak Arabic, he can act as the interpreter. b. If he speaks Arabic, he can’t act as the interpreter. c. If he can act as the interpreter, then he does not speak Arabic. d. If he does not speak Arabic, he can’t act as the interpreter. Find the area. The figure is not drawn to scale.

a. (^) 3147 m b. (^) 3249 m c. (^) 576 m d. (^) 14 m Find the value of x****. Round your answer to the nearest tenth. ____ 16. a. 3.3 b. 3.1 c. 24.7 d. 8. Find the value of x****. Round to the nearest tenth. ____ 17. a. 12.5 b. 10 c. 13 d. 9. ____ 18. a. 52.6 b. 52.9 c. 6.2 d. 6. Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.

____ 19.

a. (^) 10.5 m b. (^) 9.8 m c. (^) 19.6 m d. (^) 21.0 m ____ 20. Use Euler’s Formula to find the missing number. Vertices: 16 Edges: 37 Faces: a. 24 b. 22 c. 23 d. 26 Find the volume of the square pyramid shown. Round to the nearest tenth as necessary. ____ 21. a. (^) 40 cm b. (^) 480 cm c. (^) 147.3 cm d. (^) 720 cm ____ 22. Find the similarity ratio of a cube with volume 729 m to a cube with volume 3375 m. a. 81 : 225 b. 3 : 5 c. 5 : 3 d. 225 : 81 ____ 23. and are all tangent to O (not drawn to scale). JA = 9, AL = 10, and CK = 14. Find the perimeter of.

Find the volume of the cone shown as a decimal rounded to the nearest tenth.

  2. A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number. Solve for a and b****.

  4. The widths of two similar rectangles are 16 cm and 14 cm. What is the ratio of the perimeters? Of the areas?

  5. Find the value of x and y rounded to the nearest tenth.

  1. Find the value of x. Find the value of x to the nearest degree.
  3. Find the values of x and y. The diagram is not to scale. Find the area. The figure is not drawn to scale.

Geometry Final Exam

Answer Section

MULTIPLE CHOICE

  1. ANS: C DIF: L1 REF: 1 - 4 Measuring Segments and Angles OBJ: 1 - 4.2 Finding Angle Measures STO: IN G.1.1 TOP: 1 - 4 Example 6 KEY: Angle Addition Postulate MSC: NAEP M1e, NAEP M1f, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.CP, S9.TSK2.GM, S10.TSK2.GM, TV.LV20.13, TV.LV20.
  2. ANS: A DIF: L2 REF: 1 - 6 The Coordinate Plane OBJ: 1 - 6.2 Finding the Midpoint of a Segment STO: IN G.1. KEY: coordinate plane,Midpoint Formula MSC: NAEP M1e, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.
  3. ANS: A DIF: L2 REF: 1 - 7 Perimeter¸ Circumference¸ and Area OBJ: 1 - 7.2 Finding Area STO: IN G.2.5, IN G.3.3, IN G.6. TOP: 1 - 7 Example 6 KEY: circle,square,area MSC: NAEP M1c, NAEP M1h, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.
  4. ANS: B DIF: L1 REF: 2 - 2 Biconditionals and Definitions OBJ: 2 - 2.1 Writing Biconditionals STO: IN G.8.4, IN G.8.6, IN G.8. TOP: 2 - 2 Example 1 KEY: conditional statement,biconditional statement MSC: NAEP G1c, NAEP G5a, CAT5.LV20.54, IT.LV16.CP, IT.LV16.PS, S9.TSK2.PRA, S10.TSK2.PRA, TV.LV20.17, TV.LV20.
  5. ANS: B DIF: L2 REF: 2 - 5 Proving Angles Congruent OBJ: 2 - 5.1 Identifying Angle Pairs STO: IN G.8.8, IN G.8. KEY: supplementary angles MSC: NAEP G3g, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.CP, S9.TSK2.GM, S10.TSK2.GM, TV.LV20.13, TV.LV20.
  6. ANS: D DIF: L1 REF: 4 - 1 Congruent Figures OBJ: 4 - 1.1 Congruent Figures STO: IN G.2.3, IN G.8.8, IN G.4. TOP: 4 - 1 Example 1 KEY: congruent figures,corresponding parts MSC: NAEP G2e, CAT5.LV20.50, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.14, TV.LV20.
  7. ANS: A DIF: L1 REF: 4 - 5 Isosceles and Equilateral Triangles OBJ: 4 - 5.1 The Isosceles Triangle Theorems STO: IN G.4.1, IN G.8. TOP: 4 - 5 Example 3 KEY: isosceles triangle,Converse of Isosceles Triangle Theorem,Triangle Angle-Sum Theorem MSC: NAEP G3f, CAT5.LV20.50, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.14, TV.LV20.
  8. ANS: C DIF: L1 REF: 5 - 1 Midsegments of Triangles OBJ: 5 - 1.1 Using Properties of Midsegments STO: IN G.4.5, IN G.4.

TOP: 5 - 1 Example 1 KEY: midsegment,Triangle Midsegment Theorem MSC: NAEP G3f, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.CP, S9.TSK2.GM, S10.TSK2.GM, TV.LV20.13, TV.LV20.

  1. ANS: D DIF: L REF: 5 - 4 Inverses¸ Contrapositives¸ and Indirect Reasoning OBJ: 5 - 4.1 Writing the Negation¸ Inverse¸ and Contrapositive STO: IN G.8.5, IN G.8. TOP: 5 - 4 Example 2 KEY: contrapositive MSC: NAEP G5a, CAT5.LV20.54, IT.LV16.CP, IT.LV16.PS, S9.TSK2.PRA, S10.TSK2.PRA, TV.LV20.16, TV.LV20.
  2. ANS: C DIF: L REF: 7 - 4 Areas of Trapezoids¸ Rhombuses¸ and Kites OBJ: 7 - 4.1 Area of a Trapezoid STO: IN G.2.5, IN G.3. TOP: 7 - 4 Example 1 KEY: trapezoid,area MSC: NAEP M1h, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.
  3. ANS: A DIF: L REF: 7 - 4 Areas of Trapezoids¸ Rhombuses¸ and Kites OBJ: 7 - 4.2 Finding Areas of Rhombuses and Kites STO: IN G.2.5, IN G.3. TOP: 7 - 4 Example 3 KEY: area,kite MSC: NAEP M1h, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.
  4. ANS: C DIF: L1 REF: 7 - 6 Circles and Arcs OBJ: 7 - 6.1 Central Angles and Arcs STO: IN G.6.2, IN G.6.5, IN G.6.6, IN G.6. TOP: 7 - 6 Example 3 KEY: major arc,measure of an arc,arc MSC: NAEP M1h, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.CP, S9.TSK2.GM, S10.TSK2.GM, TV.LV20.13, TV.LV20.
  5. ANS: A DIF: L2 REF: 8 - 1 Ratios and Proportions OBJ: 8 - 1.1 Using Ratios and Proportions TOP: 8 - 1 Example 4 KEY: proportion,Cross-Product Property,scale,word problem MSC: NAEP N4c, CAT5.LV20.46, CAT5.LV20.54, CAT5.LV20.55, IT.LV16.CP, IT.LV16.FR, S9.TSK2.GM, S9.TSK2.NS, S10.TSK2.GM, S10.TSK2.NS, TV.LV20.10, TV.LV20.
  6. ANS: A DIF: L1 REF: 8 - 3 Proving Triangles Similar OBJ: 8 - 3.2 Applying AA¸ SAS¸ and SSS Similarity STO: IN G.2.3, IN G.4.4, IN G.4.6, IN G.8.8 TOP: 8 - 3 Example 4 KEY: Angle-Angle Similarity Postulate,word problem MSC: NAEP G2e, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.CP, S9.TSK2.GM, S10.TSK2.GM, TV.LV20.13, TV.LV20.
  7. ANS: A DIF: L1 REF: 8 - 6 Perimeters and Areas of Similar Figures OBJ: 8 - 6.1 Finding Perimeters and Areas of Similar Figures STO: IN G.2.3, IN G.2.5, IN G.3.2, IN G.4.4 TOP: 8 - 6 Example 2 KEY: similar figures,area,trapezoid MSC: NAEP M2g, NAEP N4c, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.

MSC: NAEP M2g, CAT5.LV20.50, CAT5.LV20.51, CAT5.LV20.52, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.NS, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.NS, S10.TSK2.PRA, TV.LV20.10, TV.LV20.13, TV.LV20.14, TV.LV20.

  1. ANS: A DIF: L1 REF: 11 - 1 Tangent Lines OBJ: 11 - 1.2 Using Multiple Tangents STO: IN G.6.2, IN G.6.3, IN G.6.5, IN G.8. TOP: 11 - 1 Example 5 KEY: properties of tangents,tangent to a circle,triangle MSC: NAEP G3e, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.16, TV.LV20.
  2. ANS: A DIF: L2 REF: 11 - 4 Angle Measures and Segment Lengths OBJ: 11 - 4.2 Finding Segment Lengths STO: IN G.6.2, IN G.6.3, IN G.6.5, IN G.8. KEY: circle,chord,intersection inside the circle,intersection outside the circle,secant,tangent to a circle MSC: NAEP G3e, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.
  3. ANS: A DIF: L1 REF: 11 - 4 Angle Measures and Segment Lengths OBJ: 11 - 4.2 Finding Segment Lengths STO: IN G.6.2, IN G.6.3, IN G.6.5, IN G.8. TOP: 11 - 4 Example 3 KEY: circle,intersection outside the circle,secant,tangent,diameter MSC: NAEP G3e, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20. SHORT ANSWER
  4. ANS: x = 10, DIF: L1 REF: 1 - 5 Basic Constructions OBJ: 1 - 5.2 Constructing Bisectors STO: IN G.1.2, IN G.4.2, IN G.8. TOP: 1 - 5 Example 4 KEY: angle bisector MSC: NAEP G3b, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.
  5. ANS: 829.4 m DIF: L1 REF: 10 - 6 Volumes of Pyramids and Cones OBJ: 10 - 6.2 Finding Volume of a Cone STO: IN G.7.7 TOP: 10 - 6 Example 4 KEY: volume of a cone,volume formulas,volume,cone MSC: NAEP M1j, CAT5.LV20.46, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, IT.LV16.FR, S9.TSK2.GM, S9.TSK2.NS, S9.TSK2.PRA,

S10.TSK2.GM, S10.TSK2.NS, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.17,

TV.LV20.

28. ANS:

181 cm ; 206 cm DIF: L2 REF: 10 - 3 Surface Areas of Prisms and Cylinders OBJ: 10 - 3.1 Finding Surface Area of a Prism STO: IN G.7. TOP: 10 - 3 Example 2 KEY: surface area of a prism,lateral area,prism,surface area formulas,surface area,word problem MSC: NAEP M1j, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.

  1. ANS: DIF: L2 REF: 8 - 4 Similarity in Right Triangles OBJ: 8 - 4.1 Using Similarity in Right Triangles STO: IN G.2.3, IN G.4.4, IN G.4.6, IN G.4.7, IN G.5.2, IN G.8. TOP: 8 - 4 Example 2 KEY: corollaries of the geometric mean,proportion MSC: NAEP G2e, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.
  2. ANS: 8 : 7 and 64 : 49 DIF: L1 REF: 8 - 6 Perimeters and Areas of Similar Figures OBJ: 8 - 6.1 Finding Perimeters and Areas of Similar Figures STO: IN G.2.3, IN G.2.5, IN G.3.2, IN G.4.4 TOP: 8 - 6 Example 1 KEY: perimeter,area,similar figures MSC: NAEP M2g, NAEP N4c, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.
  3. ANS: x = 24.0, y = 46. DIF: L2 REF: 7 - 3 Special Right Triangles OBJ: 7 - 3.2 Using 30°-60°-90° Triangles STO: IN G.4.7, IN G.5.3, IN G.5. TOP: 7 - 3 Example 5 KEY: special right triangles,leg,hypotenuse MSC: NAEP G3d, CAT5.LV20.50, CAT5.LV20.55, CAT5.LV20.56, IT.LV16.AM, IT.LV16.CP, S9.TSK2.GM, S9.TSK2.PRA, S10.TSK2.GM, S10.TSK2.PRA, TV.LV20.13, TV.LV20.14, TV.LV20.
  4. ANS:
    • 19