Question 1

Are the two triangles shown in the illustration congruent if $a = 48$ ? Why?

Accepted Answer

A)  yes, SAS 
B)  yes, ASA 
C)  yes, AAA 
D)  yes, SSS 
E)  no 
A)  yes, SAS 
B)  yes, ASA 
C)  yes, AAA 
D)  yes, SSS 
E)  no

Question 2

Find the area of the shaded part of the figure if $$a = 4$$ , $$b = 6$$ .

Accepted Answer

A)  48 
B)  96 
C)  12 
D)  10 
E)  none of these 
A)  48 
B)  96 
C)  12 
D)  10 
E)  none of these

Question 3

Match between columns
                        Premises: rhombus
rectangle
parallelogram

Accepted Answer

The Answer of Read a Record and Close the Files is...

Question 4

Below are the lengths of the sides of a triangle. Which is a right triangle?

Accepted Answer

A)  9, 8, 6 
B)  9, 8, 7 
C)  6, 8, 10 
D)  10, 8, 7 
E)  none of these 
A)  9, 8, 6 
B)  9, 8, 7 
C)  6, 8, 10 
D)  10, 8, 7 
E)  none of these

Question 5

Find the volume of the figure if a = 17 cm, b = 6 cm.   
Use 3.14 for your estimation of pi, and round your answer to the nearest hundredth. 
__________ cm $3$

Accepted Answer

The answer of Find the volume of the figure if...

Question 6

How many sides does a polygon have if the sum of its angles is $1,800 ^ { \circ }$ .

Accepted Answer

A)  17 sides 
B)  16 sides 
C)  10 sides 
D)  13 sides 
E)  12 sides 
A)  17 sides 
B)  16 sides 
C)  10 sides 
D)  13 sides 
E)  12 sides

Question 7

Refer to the figure above to find the length of segment $\overline { D A }$

Accepted Answer

A)  4 
B)  3 
C)  2 
D)  7 
A)  4 
B)  3 
C)  2 
D)  7

Question 8

The area of any regular polygon with length of apothem a and perimeter P is given by $A = \frac { 1 } { 2 } a P$ .

Accepted Answer

A) True 
 B)False

Question 9

The area of a rectangle is $250 \mathrm {~cm} ^ { 2 }$ . Its width is $11 \mathrm {~cm}$  Find its length.

Accepted Answer

A)  $\text { length } = 110 \mathrm {~cm}$ 
B)  $\text { length } = 23 \mathrm {~cm}$ 
C)  $\text { length } = 27 \mathrm {~cm}$ 
D)  $\text { length } = 23.5 \mathrm {~cm}$ 
E)  $\text { length } = 20 \mathrm {~cm}$ 
A)  $\text { length } = 110 \mathrm {~cm}$ 
B)  $\text { length } = 23 \mathrm {~cm}$ 
C)  $\text { length } = 27 \mathrm {~cm}$ 
D)  $\text { length } = 23.5 \mathrm {~cm}$ 
E)  $\text { length } = 20 \mathrm {~cm}$

Question 10

Refer the trapezoid KLMN below, with $\overline { K L } \| \overline {N M}$ . Find   x and y .

Accepted Answer

A)  $x = 83 ^ { \circ }$ , $y = 57 ^ { \circ }$ 
B)  $x = 53 ^ { \circ }$ , $y = 87 ^ { \circ }$ 
C)  $x = 57 ^ { \circ }$ , $y = 83 ^ { \circ }$ 
D)  $x = 87 ^ { \circ }$ , $y = 53 ^ { \circ }$ 
A)  $x = 83 ^ { \circ }$ , $y = 57 ^ { \circ }$ 
B)  $x = 53 ^ { \circ }$ , $y = 87 ^ { \circ }$ 
C)  $x = 57 ^ { \circ }$ , $y = 83 ^ { \circ }$ 
D)  $x = 87 ^ { \circ }$ , $y = 53 ^ { \circ }$

Question 11

Find the perimeter and the area of the quadrilateral.   
A) A = 48 m 2
B) A = 46 m 2
C) A = 64 m 2
D) P = 32 m
E) P = 28 m
F) P = 16 m

Accepted Answer

Question 12

Using the figure below,   find $\angle 8$  if $l _ { 1 }$ is parallel to $l _ { 2 }$ with $\angle 2 = 18 ^ { \circ }$ .

Accepted Answer

A)  $161 ^ { \circ }$ 
B)  $162 ^ { \circ }$ 
C)  $71 ^ { \circ }$ 
D)  $18 ^ { \circ }$ 
E)  none of these 
A)  $161 ^ { \circ }$ 
B)  $162 ^ { \circ }$ 
C)  $71 ^ { \circ }$ 
D)  $18 ^ { \circ }$ 
E)  none of these

Question 13

Find the volume of a rectangular solid with dimensions of 7 by 6 by 6 centimeters.

Accepted Answer

A)  $248 \mathrm {~cm} ^ { 3 }$ 
B)  $19 \mathrm {~cm} ^ { 3 }$ 
C)  $252 \mathrm {~cm} ^ { 3 }$ 
D)  $256 \mathrm {~cm} ^ { 3 }$ 
E)  none of these 
A)  $248 \mathrm {~cm} ^ { 3 }$ 
B)  $19 \mathrm {~cm} ^ { 3 }$ 
C)  $252 \mathrm {~cm} ^ { 3 }$ 
D)  $256 \mathrm {~cm} ^ { 3 }$ 
E)  none of these

Question 14

Look at the illustration and match each angle with its type. $$\angle 1 = 54 ^ { \circ }$$   and $\angle 2 = 36 ^ { \circ }$ .  
-acute

Accepted Answer

A)  AGC 
B)  FGD 
C)  BGE 
D)  BGA 
A)  AGC 
B)  FGD 
C)  BGE 
D)  BGA

Question 15

In the figure below, $A B \| C D$ . Are $\triangle A O B$  and $$\triangle C O D$$  similar triangles?

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 16

Refer to the illustration. Find $b$  if $a = 8$  and $c = 10$ .

Accepted Answer

A)  2 
B)  $\sqrt { 18 }$ 
C)  $\sqrt { 10 }$ 
D)  6 
E)  $\sqrt { 514 }$ 
A)  2 
B)  $\sqrt { 18 }$ 
C)  $\sqrt { 10 }$ 
D)  6 
E)  $\sqrt { 514 }$

Question 17

Refer to the figure above. Name the midpoint of the segment $\overline {G C}$ . Find a segment, congruent to $\overline {G C}$ .

Accepted Answer

A)  $E$ ; $\overline { A E }$ 
B)  $E$ ; $\overline {B D}$ 
C)  $C$ ; $\overline { A E }$ 
D)  $C$ ; $\overline {B D}$ 
A)  $E$ ; $\overline { A E }$ 
B)  $E$ ; $\overline {B D}$ 
C)  $C$ ; $\overline { A E }$ 
D)  $C$ ; $\overline {B D}$

Question 18

Match between columns
                        Premises: radius
chord
circumference

Accepted Answer

The Answer of segment joining two points on a circle is...

Question 19

Find the area of the shaded part of the figure if $a = 6$ , $b = 7$ , $$c = 4$$

Accepted Answer

A)  49 
B)  24 
C)  108 
D)  66 
E)  none of these 
A)  49 
B)  24 
C)  108 
D)  66 
E)  none of these

Question 20

Find the perimeter of the figure if $a = 10 \mathrm { in } .$ , $$b = 9 \mathrm { in }$$ .

Accepted Answer

A)  39 in. 
B)  48 in. 
C)  28 in. 
D)  38 in. 
E)  none of these 
A)  39 in. 
B)  48 in. 
C)  28 in. 
D)  38 in. 
E)  none of these

Are the two triangles shown in the illustration congruent if $a = 48$ ? Why?

Find the area of the shaded part of the figure if $a = 4$ , $b = 6$ .

Below are the lengths of the sides of a triangle. Which is a right triangle?

Find the volume of the figure if a = 17 cm, b = 6 cm. Use 3.14 for your estimation of pi, and round your answer to the nearest hundredth. __________ cm $3$

How many sides does a polygon have if the sum of its angles is $1,800 ^ { \circ }$ .

$Refer to the figure above to find the length of segment \overline { D A }$ Refer to the figure above to find the length of segment $\overline { D A }$

The area of any regular polygon with length of apothem a and perimeter P is given by $A = \frac { 1 } { 2 } a P$ .

The area of a rectangle is $250 \mathrm {~cm} ^ { 2 }$ . Its width is $11 \mathrm {~cm}$ Find its length.

Refer the trapezoid KLMN below, with $\overline { K L } \| \overline {N M}$ . Find x and y . $Refer the trapezoid KLMN below, with \overline { K L } \| \overline {N M} . Find x and y .$

Find the perimeter and the area of the quadrilateral. A) A = 48 m ² B) A = 46 m ² C) A = 64 m ² D) P = 32 m E) P = 28 m F) P = 16 m

Find the volume of a rectangular solid with dimensions of 7 by 6 by 6 centimeters.

Look at the illustration and match each angle with its type. $\angle 1 = 54 ^ { \circ }$ and $\angle 2 = 36 ^ { \circ }$ . $Look at the illustration and match each angle with its type. \angle 1 = 54 ^ { \circ } and \angle 2 = 36 ^ { \circ } . -acute$ -acute

In the figure below, $A B \| C D$ . Are $\triangle A O B$ and $\triangle C O D$ similar triangles? $In the figure below, A B \| C D . Are \triangle A O B and \triangle C O D similar triangles?$

Refer to the illustration. Find $b$ if $a = 8$ and $c = 10$ .

$Refer to the figure above. Name the midpoint of the segment \overline {G C} . Find a segment, congruent to \overline {G C} .$ Refer to the figure above. Name the midpoint of the segment $\overline {G C}$ . Find a segment, congruent to $\overline {G C}$ .

Find the area of the shaded part of the figure if $a = 6$ , $b = 7$ , $c = 4$

Find the perimeter of the figure if $a = 10 \mathrm { in } .$ , $b = 9 \mathrm { in }$ . $Find the perimeter of the figure if a = 10 \mathrm { in } . , b = 9 \mathrm { in } .$

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

Filters

Exam 9: An Introduction to Geometry

Are the two triangles shown in the illustration congruent if a=48a = 48a=48 ? Why?

Find the area of the shaded part of the figure if a=4a = 4a=4 , b=6b = 6b=6 .

Below are the lengths of the sides of a triangle. Which is a right triangle?

Find the volume of the figure if a = 17 cm, b = 6 cm. Use 3.14 for your estimation of pi, and round your answer to the nearest hundredth. __________ cm 333

How many sides does a polygon have if the sum of its angles is 1,800∘1,800 ^ { \circ }1,800∘ .

Refer to the figure above to find the length of segment DA‾\overline { D A }DA

The area of any regular polygon with length of apothem a and perimeter P is given by A=12aPA = \frac { 1 } { 2 } a PA=21​aP .

The area of a rectangle is 250 cm2250 \mathrm {~cm} ^ { 2 }250 cm2 . Its width is 11 cm11 \mathrm {~cm}11 cm Find its length.

Refer the trapezoid KLMN below, with KL‾∥NM‾\overline { K L } \| \overline {N M}KL∥NM . Find x and y .

Find the perimeter and the area of the quadrilateral. A) A = 48 m 2 B) A = 46 m 2 C) A = 64 m 2 D) P = 32 m E) P = 28 m F) P = 16 m

Using the figure below, find ∠8\angle 8∠8 if l1l _ { 1 }l1​ is parallel to l2l _ { 2 }l2​ with ∠2=18∘\angle 2 = 18 ^ { \circ }∠2=18∘ .

Find the volume of a rectangular solid with dimensions of 7 by 6 by 6 centimeters.

Look at the illustration and match each angle with its type. ∠1=54∘\angle 1 = 54 ^ { \circ }∠1=54∘ and ∠2=36∘\angle 2 = 36 ^ { \circ }∠2=36∘ . -acute

In the figure below, AB∥CDA B \| C DAB∥CD . Are △AOB\triangle A O B△AOB and △COD\triangle C O D△COD similar triangles?

Refer to the illustration. Find bbb if a=8a = 8a=8 and c=10c = 10c=10 .

Refer to the figure above. Name the midpoint of the segment GC‾\overline {G C}GC . Find a segment, congruent to GC‾\overline {G C}GC .

Find the area of the shaded part of the figure if a=6a = 6a=6 , b=7b = 7b=7 , c=4c = 4c=4

Find the perimeter of the figure if a=10in.a = 10 \mathrm { in } .a=10in. , b=9inb = 9 \mathrm { in }b=9in .

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

Filters

Are the two triangles shown in the illustration congruent if $a = 48$ ? Why?

Find the area of the shaded part of the figure if $a = 4$ , $b = 6$ .

Find the volume of the figure if a = 17 cm, b = 6 cm. Use 3.14 for your estimation of pi, and round your answer to the nearest hundredth. __________ cm $3$

How many sides does a polygon have if the sum of its angles is $1,800 ^ { \circ }$ .

$Refer to the figure above to find the length of segment \overline { D A }$ Refer to the figure above to find the length of segment $\overline { D A }$

The area of any regular polygon with length of apothem a and perimeter P is given by $A = \frac { 1 } { 2 } a P$ .

The area of a rectangle is $250 \mathrm {~cm} ^ { 2 }$ . Its width is $11 \mathrm {~cm}$ Find its length.

Refer the trapezoid KLMN below, with $\overline { K L } \| \overline {N M}$ . Find x and y . $Refer the trapezoid KLMN below, with \overline { K L } \| \overline {N M} . Find x and y .$

Find the perimeter and the area of the quadrilateral. A) A = 48 m ² B) A = 46 m ² C) A = 64 m ² D) P = 32 m E) P = 28 m F) P = 16 m

Look at the illustration and match each angle with its type. $\angle 1 = 54 ^ { \circ }$ and $\angle 2 = 36 ^ { \circ }$ . $Look at the illustration and match each angle with its type. \angle 1 = 54 ^ { \circ } and \angle 2 = 36 ^ { \circ } . -acute$ -acute

In the figure below, $A B \| C D$ . Are $\triangle A O B$ and $\triangle C O D$ similar triangles? $In the figure below, A B \| C D . Are \triangle A O B and \triangle C O D similar triangles?$

Refer to the illustration. Find $b$ if $a = 8$ and $c = 10$ .

$Refer to the figure above. Name the midpoint of the segment \overline {G C} . Find a segment, congruent to \overline {G C} .$ Refer to the figure above. Name the midpoint of the segment $\overline {G C}$ . Find a segment, congruent to $\overline {G C}$ .

Find the area of the shaded part of the figure if $a = 6$ , $b = 7$ , $c = 4$

Find the perimeter of the figure if $a = 10 \mathrm { in } .$ , $b = 9 \mathrm { in }$ . $Find the perimeter of the figure if a = 10 \mathrm { in } . , b = 9 \mathrm { in } .$