Question 1

Two parallel lines lie in the same plane.

Accepted Answer

A) True 
 B)False

Question 2

Find the area.
-

Accepted Answer

A)  $1012 \mathrm { yd } ^ { 2 }$ 
B)  $1056 \mathrm { yd } ^ { 2 }$ 
C)  $968 \mathrm { yd } ^ { 2 }$ 
D)  $506 \mathrm { yd } ^ { 2 }$ 
A)  $1012 \mathrm { yd } ^ { 2 }$ 
B)  $1056 \mathrm { yd } ^ { 2 }$ 
C)  $968 \mathrm { yd } ^ { 2 }$ 
D)  $506 \mathrm { yd } ^ { 2 }$

Question 3

Give the measure of the missing angle using the similar triangles below.
-

$\triangle \mathrm { ABC } \sim \triangle \mathrm { DEF } , \angle \mathrm { B } = 59 ^ { \circ } , \overline { \mathrm { EF } } = 10 \mathrm {~cm}$

Accepted Answer

A)  $59 ^ { \circ }$ 
B)  $31 ^ { \circ }$ 
C)  $10 \mathrm {~cm}$ 
D)  $90 ^ { \circ }$ 
A)  $59 ^ { \circ }$ 
B)  $31 ^ { \circ }$ 
C)  $10 \mathrm {~cm}$ 
D)  $90 ^ { \circ }$

Question 4

Give the symbol that represents the portion of the line named and draw a figure showing just the portion named.
- 
$\text { Half-line QR }$

Accepted Answer

A)    
B)    
C)   
D)   
A)    
B)    
C)   
D)

Question 5

Find the measure of the angles.
- 
$\angle A=(6 x+53)^{\circ}, \angle B=(3 x+80)^{\circ}$

Accepted Answer

A)  $107 ^ { \circ }$ and $107 ^ { \circ }$ 
B)  $- 17 ^ { \circ }$ and $- 17 ^ { \circ }$ 
C)  $73 ^ { \circ }$ and $73 ^ { \circ }$ 
D)  $73 ^ { \circ }$ and $107 ^ { \circ }$ 
A)  $107 ^ { \circ }$ and $107 ^ { \circ }$ 
B)  $- 17 ^ { \circ }$ and $- 17 ^ { \circ }$ 
C)  $73 ^ { \circ }$ and $73 ^ { \circ }$ 
D)  $73 ^ { \circ }$ and $107 ^ { \circ }$

Question 6

Match the symbol with the answer choice that names the same set of points based on the given figure.
-

Accepted Answer

A)   
B)    
C)    
D)  None of these 
A)   
B)    
C)    
D)  None of these

Question 7

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side.
-

Accepted Answer

A)  $a = 56$ 
B)  $a = 49$ 
C)  $a = 36$ 
D)  $\mathrm { a } = 48$ 
A)  $a = 56$ 
B)  $a = 49$ 
C)  $a = 36$ 
D)  $\mathrm { a } = 48$

Question 8

Solve the problem.
-Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 12 mi, the distance between the cars was 4 mi more than the distance traveled by the car Heading east. How far had the eastbound car traveled?

Accepted Answer

A) 24 mi 
B) 16 mi 
C) 12 mi 
D) 20 mi 
A) 24 mi 
B) 16 mi 
C) 12 mi 
D) 20 mi

Question 9

Identify the curve as simple, closed, both, or neither.
-

Accepted Answer

A)  Simple 
B)  Neither 
C)  Both 
D)  Closed 
A)  Simple 
B)  Neither 
C)  Both 
D)  Closed

Question 10

Match the symbol with the answer choice that names the same set of points based on the given figure.
-

Accepted Answer

A)    
B)    
C)    
D)  None of these 
A)    
B)    
C)    
D)  None of these

Question 11

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side.
-

Accepted Answer

A)  $\mathrm { c } = 11$ 
B)  $c = 20$ 
C)  $\mathrm { c } = 19$ 
D)  $\mathrm { c } = 14$ 
A)  $\mathrm { c } = 11$ 
B)  $c = 20$ 
C)  $\mathrm { c } = 19$ 
D)  $\mathrm { c } = 14$

Question 12

For the given pair of similar triangles, name the corresponding side or angle in the other triangle.
-$\angle C$

Accepted Answer

A)  $\angle S$ 
B)  $\angle C$ 
C)  $\angle T$ 
D)  $\angle R$ 
A)  $\angle S$ 
B)  $\angle C$ 
C)  $\angle T$ 
D)  $\angle R$

Question 13

Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene.
-

Accepted Answer

A) Acute, equilateral 
B) Obtuse, equilateral 
C) Acute, scalene 
D) Obtuse, isosceles 
A) Acute, equilateral 
B) Obtuse, equilateral 
C) Acute, scalene 
D) Obtuse, isosceles

Question 14

Find the area.
-

(a trapezoid)

Accepted Answer

A)  $189 \mathrm {~cm} ^ { 2 }$ 
B)  $195 \mathrm {~cm} ^ { 2 }$ 
C)  $43 \mathrm {~cm} ^ { 2 }$ 
D)  $273 \mathrm {~cm} ^ { 2 }$ 
A)  $189 \mathrm {~cm} ^ { 2 }$ 
B)  $195 \mathrm {~cm} ^ { 2 }$ 
C)  $43 \mathrm {~cm} ^ { 2 }$ 
D)  $273 \mathrm {~cm} ^ { 2 }$

Question 15

Solve the problem.
-Find the measure of an angle whose supplement is 3 times the measure of its complement.

Accepted Answer

A) 22.5° 
B) 60° 
C) 45° 
D) 30° 
A) 22.5° 
B) 60° 
C) 45° 
D) 30°

Question 16

Decide whether the statement is true or false.
-If a circle is split in half so as to make a semicircle, the diameter now becomes the radius and the
radius is reduced to one-half its original size.

Accepted Answer

A) True 
 B)False

Question 17

Give the symbol that represents the portion of the line named and draw a figure showing just the portion named.
- 
$\text { Half-line SP }$

Accepted Answer

A)   
B)    
C)   
D)   
A)   
B)    
C)   
D)

Question 18

Solve the problem.
-Find the measure of an angle such that the difference between its supplement and 2 times its complement is 63°.

Accepted Answer

A) 105.5° 
B) 63° 
C) 31° 
D) 211° 
A) 105.5° 
B) 63° 
C) 31° 
D) 211°

Question 19

Solve the problem.
- 
Find the area.

Accepted Answer

A)  $4 \sqrt { 9345 }$ 
B)  $8 \sqrt { 9345 }$ 
C)  $4 \sqrt { 9393 }$ 
D)  $8 \sqrt { 9393 }$ 
A)  $4 \sqrt { 9345 }$ 
B)  $8 \sqrt { 9345 }$ 
C)  $4 \sqrt { 9393 }$ 
D)  $8 \sqrt { 9393 }$

Question 20

Use the properties of parallel lines to solve the problem.
-In the figure, $\overline { \mathrm { AB } } \| \overline { \mathrm { CD } }$. Identify all pairs of congruent angles.

Accepted Answer

A)  $\angle \mathrm { ABE }$ and $\angle \mathrm { FCD }$ 
B)  $\angle \mathrm { ABC }$ and $\angle \mathrm { FCD } , \angle \mathrm { ABE }$ and $\angle B C D$, 
C)  $\angle \mathrm { ABE }$ and $\angle \mathrm { ABC } , \angle \mathrm { FCD }$ and $\angle \mathrm { BCD }$ 
D)  $\angle \mathrm { ABE }$ and $\angle \mathrm { FCD } , \angle \mathrm { ABC }$ and $\angle \mathrm { BCD }$ 
A)  $\angle \mathrm { ABE }$ and $\angle \mathrm { FCD }$ 
B)  $\angle \mathrm { ABC }$ and $\angle \mathrm { FCD } , \angle \mathrm { ABE }$ and $\angle B C D$, 
C)  $\angle \mathrm { ABE }$ and $\angle \mathrm { ABC } , \angle \mathrm { FCD }$ and $\angle \mathrm { BCD }$ 
D)  $\angle \mathrm { ABE }$ and $\angle \mathrm { FCD } , \angle \mathrm { ABC }$ and $\angle \mathrm { BCD }$

Two parallel lines lie in the same plane.

Find the area. -

Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - $Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - \text { Half-line QR }$ $\text { Half-line QR }$

Find the measure of the angles. - $Find the measure of the angles. - \angle A=(6 x+53)^{\circ}, \angle B=(3 x+80)^{\circ}$ $\angle A=(6 x+53)^{\circ}, \angle B=(3 x+80)^{\circ}$

Match the symbol with the answer choice that names the same set of points based on the given figure. -

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. -

Solve the problem. -Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 12 mi, the distance between the cars was 4 mi more than the distance traveled by the car Heading east. How far had the eastbound car traveled?

Identify the curve as simple, closed, both, or neither. -

Match the symbol with the answer choice that names the same set of points based on the given figure. -

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. -

For the given pair of similar triangles, name the corresponding side or angle in the other triangle. - $\angle C$ $For the given pair of similar triangles, name the corresponding side or angle in the other triangle. - \angle C$

Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene. -

Find the area. - (a trapezoid)

Solve the problem. -Find the measure of an angle whose supplement is 3 times the measure of its complement.

Decide whether the statement is true or false. -If a circle is split in half so as to make a semicircle, the diameter now becomes the radius and the radius is reduced to one-half its original size.

Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - $Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - \text { Half-line SP }$ $\text { Half-line SP }$

Solve the problem. -Find the measure of an angle such that the difference between its supplement and 2 times its complement is 63°.

Solve the problem. - Find the area.

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 9: Geometry

Two parallel lines lie in the same plane.

Find the area. -

Give the measure of the missing angle using the similar triangles below. - △ABC∼△DEF,∠B=59∘,EF‾=10 cm\triangle \mathrm { ABC } \sim \triangle \mathrm { DEF } , \angle \mathrm { B } = 59 ^ { \circ } , \overline { \mathrm { EF } } = 10 \mathrm {~cm}△ABC∼△DEF,∠B=59∘,EF=10 cm

Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - Half-line QR \text { Half-line QR } Half-line QR

Find the measure of the angles. - ∠A=(6x+53)∘,∠B=(3x+80)∘\angle A=(6 x+53)^{\circ}, \angle B=(3 x+80)^{\circ}∠A=(6x+53)∘,∠B=(3x+80)∘

Match the symbol with the answer choice that names the same set of points based on the given figure. -

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. -

Solve the problem. -Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 12 mi, the distance between the cars was 4 mi more than the distance traveled by the car Heading east. How far had the eastbound car traveled?

Identify the curve as simple, closed, both, or neither. -

Match the symbol with the answer choice that names the same set of points based on the given figure. -

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. -

For the given pair of similar triangles, name the corresponding side or angle in the other triangle. - ∠C\angle C∠C

Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene. -

Find the area. - (a trapezoid)

Solve the problem. -Find the measure of an angle whose supplement is 3 times the measure of its complement.

Decide whether the statement is true or false. -If a circle is split in half so as to make a semicircle, the diameter now becomes the radius and the radius is reduced to one-half its original size.

Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - Half-line SP \text { Half-line SP } Half-line SP

Solve the problem. -Find the measure of an angle such that the difference between its supplement and 2 times its complement is 63°.

Solve the problem. - Find the area.

Use the properties of parallel lines to solve the problem. -In the figure, AB‾∥CD‾\overline { \mathrm { AB } } \| \overline { \mathrm { CD } }AB∥CD . Identify all pairs of congruent angles.

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - $Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - \text { Half-line QR }$ $\text { Half-line QR }$

Find the measure of the angles. - $Find the measure of the angles. - \angle A=(6 x+53)^{\circ}, \angle B=(3 x+80)^{\circ}$ $\angle A=(6 x+53)^{\circ}, \angle B=(3 x+80)^{\circ}$

For the given pair of similar triangles, name the corresponding side or angle in the other triangle. - $\angle C$ $For the given pair of similar triangles, name the corresponding side or angle in the other triangle. - \angle C$

Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - $Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - \text { Half-line SP }$ $\text { Half-line SP }$