Question 1

Find $\angle 2$  if  $$\angle 1 = 39 ^ { \circ }$$

Accepted Answer

A)  $51 ^ { \circ }$ 
B)  $39 ^ { \circ }$ 
C)  $52 ^ { \circ }$ 
D)  $40 ^ { \circ }$ 
E)  none of these 
A)  $51 ^ { \circ }$ 
B)  $39 ^ { \circ }$ 
C)  $52 ^ { \circ }$ 
D)  $40 ^ { \circ }$ 
E)  none of these

Question 2

The measures of two angles of ABC (shown in the illustration) are given. Find the measure of the third angle, if $m ( \angle A ) = 113 ^ { \circ }$  and $m ( \angle B ) = 33 ^ { \circ }$ .

Accepted Answer

A)  $34 ^ { \circ }$ 
B)  $44 ^ { \circ }$ 
C)  $33 ^ { \circ }$ 
D)  $214 ^ { \circ }$ 
E)  none of these 
A)  $34 ^ { \circ }$ 
B)  $44 ^ { \circ }$ 
C)  $33 ^ { \circ }$ 
D)  $214 ^ { \circ }$ 
E)  none of these

Question 3

Find $\angle 2$ if  $$\angle 1 = 53 ^ { \circ }$$ .

Accepted Answer

A)  $127 ^ { \circ }$ 
B)  $54 ^ { \circ }$ 
C)  $37 ^ { \circ }$ 
D)  $74 ^ { \circ }$ 
E)  $53 ^ { \circ }$ 
A)  $127 ^ { \circ }$ 
B)  $54 ^ { \circ }$ 
C)  $37 ^ { \circ }$ 
D)  $74 ^ { \circ }$ 
E)  $53 ^ { \circ }$

Question 4

To the nearest tenth of square inch, find the area of the regular pentagon whose apothem  measures 4.2 inches and whose sides measure 6.2 inches.

Accepted Answer

A)  $64.2 \mathrm { in } ^ { 2 }$ 
B)  $65.1 \mathrm { in } ^ { 2 }$ 
C)  $97.6 \mathrm { in } ^ { 2 }$ 
D)  $130.2 \mathrm { in } ^ { 2 }$ 
A)  $64.2 \mathrm { in } ^ { 2 }$ 
B)  $65.1 \mathrm { in } ^ { 2 }$ 
C)  $97.6 \mathrm { in } ^ { 2 }$ 
D)  $130.2 \mathrm { in } ^ { 2 }$

Question 5

An __________ triangle has two sides of equal length .

Accepted Answer

The answer of An __________ triangle has two sides of equal length ....

Question 6

The circumference of a circle is 70 m. Find its radius. Use the rules for working with measurements.

Accepted Answer

A)  The radius is 4.7 m. 
B)  The radius is 11.1 m. 
C)  The radius is 5.6 m. 
D)  The radius is 22.3 m. 
E)  The radius is 44.6 m. 
A)  The radius is 4.7 m. 
B)  The radius is 11.1 m. 
C)  The radius is 5.6 m. 
D)  The radius is 22.3 m. 
E)  The radius is 44.6 m.

Question 7

What can be a name of a plane?

Accepted Answer

A)  P 
B)  PQ 
C)  XYZ 
D)  MNPQ 
A)  P 
B)  PQ 
C)  XYZ 
D)  MNPQ

Question 8

Find the perimeter and the area of the quadrilateral.

Accepted Answer

A)  A = 36.0 cm 2 
B)  P = 34.0 cm 
C)  P = 17.0 cm 
D)  A = 71.0 cm 2 
E)  A = 72.0 cm 2
F) P = 68.0 cm 
A)  A = 36.0 cm 2 
B)  P = 34.0 cm 
C)  P = 17.0 cm 
D)  A = 71.0 cm 2 
E)  A = 72.0 cm 2
F) P = 68.0 cm

Question 9

In the figure below, choose the pair of corresponding angles.

Accepted Answer

A)  $\angle 5$ and $\angle 6$ 
B)  $\angle 1$  and $\angle 6$ 
C)  $\angle 1$  and $\angle 5$ 
D)  all of these 
E)  none of these 
A)  $\angle 5$ and $\angle 6$ 
B)  $\angle 1$  and $\angle 6$ 
C)  $\angle 1$  and $\angle 5$ 
D)  all of these 
E)  none of these

Question 10

The lengths of the three sides of a triangle are given. The triangle is a right triangle. $a = 9$ , $b = 39$ , $c = 40$

Accepted Answer

A) True 
 B)False

Question 11

What is a proper name for an angle?

Accepted Answer

A)  BC 
B)  A 
C)  PQ 
A)  BC 
B)  A 
C)  PQ

Question 12

Find the missing side lengths in each triangle. Give the exact answer and then an approximation to two decimal places, when appropriate.

Accepted Answer

A)  $x = 4 , h = 5$ 
B)  $x = 5 , h = 5 \sqrt { 2 } \approx 5.66$ 
C)  $x = 4 \sqrt { 2 } \approx 5.66 , h = 4$ 
D)  $x = 4 , h = 4 \sqrt { 2 } \approx 5.71$ 
E)  $x = 4 , h = 4 \sqrt { 2 } \approx 5.66$ 
A)  $x = 4 , h = 5$ 
B)  $x = 5 , h = 5 \sqrt { 2 } \approx 5.66$ 
C)  $x = 4 \sqrt { 2 } \approx 5.66 , h = 4$ 
D)  $x = 4 , h = 4 \sqrt { 2 } \approx 5.71$ 
E)  $x = 4 , h = 4 \sqrt { 2 } \approx 5.66$

Question 13

What is a triangle with three angles of equal measure called?

Accepted Answer

A)  right 
B)  scalene 
C)  equilateral 
D)  isosceles 
E)  none of these 
A)  right 
B)  scalene 
C)  equilateral 
D)  isosceles 
E)  none of these

Question 14

The lengths of the sides of different triangles are given below. Which is a right triangle?

Accepted Answer

A)  5, 12, 12 
B)  9, 7, 10 
C)  6, 13, 14 
D)  5, 12, 13 
E)  9, 7, 11 
A)  5, 12, 12 
B)  9, 7, 10 
C)  6, 13, 14 
D)  5, 12, 13 
E)  9, 7, 11

Question 15

A triangle with three sides of equal length is called a(n) __________ triangle.

Accepted Answer

The answer of A triangle with three sides of equal length is called a(n)...

Question 16

Which expression(s) is(are) true?
1. A plane as a geometric figure that has position but no length, width, or depth.
2. Points are labeled with capital letters.
3. A line extends infinitely far in both directions, but has no width or depth.
4. Planes are made up of points.
5. A line is a flat surface, extending infinitely far in every direction, that has length and width but no depth.

Accepted Answer

A)  1, 2, 3, 4 
B)  2, 3, 4 
C)  1, 2, 4, 5 
D)  1, 2 
A)  1, 2, 3, 4 
B)  2, 3, 4 
C)  1, 2, 4, 5 
D)  1, 2

Question 17

Name anlge 3 in three appropiate ways.

Accepted Answer

A)  ∠ CBE ; ∠ EBC ; ∠ B; 
B)  ∠1;∠ ABD ;∠ DBA 
C)  ∠3; ∠ CBE ; ∠ EBC 
D)  ∠ ABD ; ∠ DBA ; ∠ B 
A)  ∠ CBE ; ∠ EBC ; ∠ B; 
B)  ∠1;∠ ABD ;∠ DBA 
C)  ∠3; ∠ CBE ; ∠ EBC 
D)  ∠ ABD ; ∠ DBA ; ∠ B

Question 18

In isosceles triangle RST , $\overline{ \mathrm{RS}} \cong \overline{ \mathrm{ST}}$ . If $R S = 2 x + 3$ , $R T = x$ , and the perimeter of $\triangle R S T$ is 36, find the value of x .

Accepted Answer

A)  $x = 5.5$ 
B)  $x = 6$ 
C)  $x = 6.5$ 
D)  None of These 
A)  $x = 5.5$ 
B)  $x = 6$ 
C)  $x = 6.5$ 
D)  None of These

Question 19

What are two lines in the same plane called?

Accepted Answer

A)  perpendicular 
B)  intersecting 
C)  transversal 
D)  coplanar 
E)  parallel 
A)  perpendicular 
B)  intersecting 
C)  transversal 
D)  coplanar 
E)  parallel

Question 20

Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters longer than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for π .)

Accepted Answer

A)  9.28 centimeters 
B)  7 centimeters 
C)  6.75 centimeters 
D)  7.25 centimeters 
E)  2.28 centimeters 
A)  9.28 centimeters 
B)  7 centimeters 
C)  6.75 centimeters 
D)  7.25 centimeters 
E)  2.28 centimeters

Find $\angle 2$ if $\angle 1 = 39 ^ { \circ }$ $Find \angle 2 if \angle 1 = 39 ^ { \circ }$

Find $\angle 2$ if $\angle 1 = 53 ^ { \circ }$ . $Find \angle 2 if \angle 1 = 53 ^ { \circ } .$

To the nearest tenth of square inch, find the area of the regular pentagon whose apothem measures 4.2 inches and whose sides measure 6.2 inches.

An __________ triangle has two sides of equal length .

The circumference of a circle is 70 m. Find its radius. Use the rules for working with measurements.

What can be a name of a plane?

Find the perimeter and the area of the quadrilateral.

In the figure below, choose the pair of corresponding angles.

The lengths of the three sides of a triangle are given. The triangle is a right triangle. $a = 9$ , $b = 39$ , $c = 40$

What is a proper name for an angle?

Find the missing side lengths in each triangle. Give the exact answer and then an approximation to two decimal places, when appropriate.

What is a triangle with three angles of equal measure called?

The lengths of the sides of different triangles are given below. Which is a right triangle?

A triangle with three sides of equal length is called a(n) __________ triangle.

Name anlge 3 in three appropiate ways.

In isosceles triangle RST , $\overline{ \mathrm{RS}} \cong \overline{ \mathrm{ST}}$ . If $R S = 2 x + 3$ , $R T = x$ , and the perimeter of $\triangle R S T$ is 36, find the value of x .

What are two lines in the same plane called?

Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters longer than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for π .)

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

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An Introduction to Algebra

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Exam 9: An Introduction to Geometry

Find ∠2\angle 2∠2 if ∠1=39∘\angle 1 = 39 ^ { \circ }∠1=39∘

The measures of two angles of ABC (shown in the illustration) are given. Find the measure of the third angle, if m(∠A)=113∘m ( \angle A ) = 113 ^ { \circ }m(∠A)=113∘ and m(∠B)=33∘m ( \angle B ) = 33 ^ { \circ }m(∠B)=33∘ .

Find ∠2\angle 2∠2 if ∠1=53∘\angle 1 = 53 ^ { \circ }∠1=53∘ .

To the nearest tenth of square inch, find the area of the regular pentagon whose apothem measures 4.2 inches and whose sides measure 6.2 inches.

An __________ triangle has two sides of equal length .

The circumference of a circle is 70 m. Find its radius. Use the rules for working with measurements.

What can be a name of a plane?

Find the perimeter and the area of the quadrilateral.

In the figure below, choose the pair of corresponding angles.

The lengths of the three sides of a triangle are given. The triangle is a right triangle. a=9a = 9a=9 , b=39b = 39b=39 , c=40c = 40c=40

What is a proper name for an angle?

Find the missing side lengths in each triangle. Give the exact answer and then an approximation to two decimal places, when appropriate.

What is a triangle with three angles of equal measure called?

The lengths of the sides of different triangles are given below. Which is a right triangle?

A triangle with three sides of equal length is called a(n) __________ triangle.

Name anlge 3 in three appropiate ways.

In isosceles triangle RST , RS‾≅ST‾\overline{ \mathrm{RS}} \cong \overline{ \mathrm{ST}}RS≅ST . If RS=2x+3R S = 2 x + 3RS=2x+3 , RT=xR T = xRT=x , and the perimeter of △RST\triangle R S T△RST is 36, find the value of x .

What are two lines in the same plane called?

Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters longer than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for π .)

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

Filters

Find $\angle 2$ if $\angle 1 = 39 ^ { \circ }$ $Find \angle 2 if \angle 1 = 39 ^ { \circ }$

Find $\angle 2$ if $\angle 1 = 53 ^ { \circ }$ . $Find \angle 2 if \angle 1 = 53 ^ { \circ } .$

The lengths of the three sides of a triangle are given. The triangle is a right triangle. $a = 9$ , $b = 39$ , $c = 40$

In isosceles triangle RST , $\overline{ \mathrm{RS}} \cong \overline{ \mathrm{ST}}$ . If $R S = 2 x + 3$ , $R T = x$ , and the perimeter of $\triangle R S T$ is 36, find the value of x .