Question 1

Refer to the figure to classify the statement as true or false.

-$$\overleftrightarrow { \mathrm { AB } } \text { and } \overleftrightarrow { \mathrm { CF } } \text { are parallel lines. }$$

Accepted Answer

The notation $\overleftrightarrow { \mathrm { AB } }$ and $\overleftrightarrow { \mathrm { CF } }$ simply denotes lines extending infinitely in both directions through points A and B, and C and F, respectively. Without additional information stating they are parallel, we cannot assume they are.

Question 2

Refer to the figure to classify the statement as true or false.

-$$\text { The intersection of planes } \mathrm { AEF } , \mathrm { FGC } \text {, and } \mathrm { BCD } \text { is point } \mathrm { B } \text {. }$$

Accepted Answer

The intersection of three planes is a point.

Question 3

Refer to this figure to answer the question.

-What are the endpoints of $\overrightarrow { \mathrm { HI } }$ ?
A) $\mathrm { H }$
B) None
C) $\mathrm { H }$ and $\mathrm { J }$
D) $\mathrm { H }$ and $\mathrm { I }$

Accepted Answer

A

Question 4

Refer to this figure to answer the question.

-$$\text { Is point } C \text { on } \overleftrightarrow { \mathrm { DE } } \text { ? }$$
A)Yes
B)No

Accepted Answer

If point C is on the line defined by points D and E, then it lies on the line segment or the infinite line extending through D and E.

Question 5

Refer to the figure to classify the statement as true or false.

-$$\overleftrightarrow { \mathrm { AD } } \text { and } \overleftrightarrow { \mathrm { BD } } \text { are coplanar lines. }$$

Accepted Answer

Lines that lie in the same plane are referred to as coplanar lines. Since both lines are mentioned together without indicating they belong to different planes, it's assumed they are in the same plane, making them coplanar.

Question 6

Find the measure of the dihedral angle indicated.
-The figure shown is a right prism whose bases are regular hexagons. Find the measure of the dihedral angle between adjacent lateral faces. 
A) $60 ^ { \circ }$
B) $135 ^ { \circ }$
C) $120 ^ { \circ }$
D) $90 ^ { \circ }$

Accepted Answer

The answer of Find the measure of the dihedral angle...

Question 7

Find the measure of the dihedral angle indicated.
-The figure shown is a right prism whose bases are regular nonagons. Find the measure of the dihedral angle between each lateral face and a base. 
A) $40 ^ { \circ }$
B) $144 ^ { \circ }$
C) $140 ^ { \circ }$
D) $90 ^ { \circ }$

Accepted Answer

The answer of Find the measure of the dihedral angle...

Question 8

Find the measure of the dihedral angle indicated.
-The figure shown is a right prism whose bases are regular octagons. Find the measure of the dihedral angle between adjacent lateral faces. 
A) $135 ^ { \circ }$
B) $90 ^ { \circ }$
C) $120 ^ { \circ }$
D) $45 ^ { \circ }$

Accepted Answer

The answer of Find the measure of the dihedral angle...

Question 9

Refer to this figure to answer the question.

-Are $\overleftrightarrow { \mathrm { HD } }$ and $\overleftrightarrow { \mathrm { HA } }$ the same line?
A) Yes
B) $\mathrm { No }$

Accepted Answer

$\overleftrightarrow { \mathrm { HD } }$ and $\overleftrightarrow { \mathrm { HA } }$ are the same line because they both pass through points H and A.

Question 10

Refer to the figure to classify the statement as true or false.

-ABE and DCG are parallel planes.

Accepted Answer

ABE and DCG are parallel planes, so they do not intersect.

Question 11

Refer to the figure to classify the statement as true or false.

-$$\overleftrightarrow { \mathrm { AB } } \text { and } \overleftrightarrow { \mathrm { CF } } \text { are intersecting lines. }$$

Accepted Answer

The answer of Refer to the figure to classify the...

Question 12

Refer to the figure to classify the statement as true or false.

-$$\text { The intersection of } \overleftrightarrow { \mathrm { KB } } \text { and plane CGF is point } B \text {. }$$

Accepted Answer

The intersection of a line and a plane is a point.

Question 13

Refer to the figure to classify the statement as true or false.

-$$\overleftrightarrow { \mathrm { AK } } \text { and } \overleftrightarrow { \mathrm { EK } } \text { are perpendicular to the plane BEF. }$$

Accepted Answer

If $\overleftrightarrow { \mathrm { AK } }$ and $\overleftrightarrow { \mathrm { EK } }$ are both perpendicular to the plane BEF, they would be parallel to each other, not necessarily indicating their spatial relationship to the plane without more context.

Question 14

Find the measure of the dihedral angle indicated.
-The figure shown is a right prism whose bases are regular octagons. Find the measure of the dihedral angle between each lateral face and a base. 
A) $120 ^ { \circ }$
B) $90 ^ { \circ }$
C) $135 ^ { \circ }$
D) $45 ^ { \circ }$

Accepted Answer

The answer of Find the measure of the dihedral angle...

Question 15

Find the measure of the dihedral angle indicated.
-The figure shown is a right prism whose bases are regular triangles. Find the measure of the dihedral angle between each lateral face and a base. 
A)  $90 ^ { \circ }$
B) $120 ^ { \circ }$
C) $45 ^ { \circ }$
D) $60 ^ { \circ }$

Accepted Answer

The answer of Find the measure of the dihedral angle...

Question 16

Find the measure of the dihedral angle indicated.
-The figure shown is a right prism whose bases are regular triangles. Find the measure of the dihedral angle between adjacent lateral faces. 
A)$120 ^ { \circ }$
B) $60 ^ { \circ }$
C) $90 ^ { \circ }$
D) $45 ^ { \circ }$

Accepted Answer

The answer of Find the measure of the dihedral angle...

Question 17

Refer to this figure to answer the question.

-What are the endpoints on $\overleftrightarrow { \mathrm { DE } }$ ?
A) D
B) $\mathrm { E }$
C) None
D) $D$ and $E$

Accepted Answer

The answer of Refer to this figure to answer the...

Question 18

Refer to this figure to answer the question.

-$$\text { Is point } G \text { on } \overline { \text { HI? } } \text { ? }$$
A)Yes
B)No

Accepted Answer

Without specific coordinates or a diagram showing the positions of points G, H, and I, it's impossible to definitively say whether point G is on line segment HI. Therefore, the statement cannot be confirmed as true.

Question 19

Refer to this figure to answer the question.

-What is the vertex of DDEI?
A) I
B) $\mathrm { D }$
C) $E$

Accepted Answer

The answer of Refer to this figure to answer the...

Question 20

Find the measure of the dihedral angle indicated.
-The figure shown is a right prism whose bases are regular hexagons. Find the measure of the dihedral angle between each lateral face and a base. 
A) $60 ^ { \circ }$
B) $135 ^ { \circ }$
C) $90 ^ { \circ }$
D) $120 ^ { \circ }$

Accepted Answer

The answer of Find the measure of the dihedral angle...

Quiz 11: Introductory Geometry

Refer to this figure to answer the question. $Refer to this figure to answer the question. - \text { Is point } C \text { on } \overleftrightarrow { \mathrm { DE } } \text { ? } A) Yes B) No$ - $\text { Is point } C \text { on } \overleftrightarrow { \mathrm { DE } } \text { ? }$

Refer to the figure to classify the statement as true or false. -ABE and DCG are parallel planes.

Refer to this figure to answer the question. $Refer to this figure to answer the question. -What are the endpoints on \overleftrightarrow { \mathrm { DE } } ? A) D B) \mathrm { E } C) None D) D and E$ -What are the endpoints on $\overleftrightarrow { \mathrm { DE } }$ ?

Refer to this figure to answer the question. $Refer to this figure to answer the question. - \text { Is point } G \text { on } \overline { \text { HI? } } \text { ? } A) Yes B) No$ - $\text { Is point } G \text { on } \overline { \text { HI? } } \text { ? }$

Refer to this figure to answer the question. $Refer to this figure to answer the question. -What is the vertex of DDEI? A) I B) \mathrm { D } C) E$ -What is the vertex of DDEI?

Quiz 11: Introductory Geometry

Refer to the figure to classify the statement as true or false. - AB↔ and CF↔ are parallel lines. \overleftrightarrow { \mathrm { AB } } \text { and } \overleftrightarrow { \mathrm { CF } } \text { are parallel lines. }AB and CF are parallel lines.

Refer to this figure to answer the question. -What are the endpoints of HI→\overrightarrow { \mathrm { HI } }HI ?

Refer to this figure to answer the question. - Is point C on DE↔ ? \text { Is point } C \text { on } \overleftrightarrow { \mathrm { DE } } \text { ? } Is point C on DE ?

Refer to the figure to classify the statement as true or false. - AD↔ and BD↔ are coplanar lines. \overleftrightarrow { \mathrm { AD } } \text { and } \overleftrightarrow { \mathrm { BD } } \text { are coplanar lines. }AD and BD are coplanar lines.

Find the measure of the dihedral angle indicated. -The figure shown is a right prism whose bases are regular hexagons. Find the measure of the dihedral angle between adjacent lateral faces.

Find the measure of the dihedral angle indicated. -The figure shown is a right prism whose bases are regular nonagons. Find the measure of the dihedral angle between each lateral face and a base.

Find the measure of the dihedral angle indicated. -The figure shown is a right prism whose bases are regular octagons. Find the measure of the dihedral angle between adjacent lateral faces.

Refer to this figure to answer the question. -Are HD↔\overleftrightarrow { \mathrm { HD } }HD and HA↔\overleftrightarrow { \mathrm { HA } }HA the same line?

Refer to the figure to classify the statement as true or false. -ABE and DCG are parallel planes.

Refer to the figure to classify the statement as true or false. - AB↔ and CF↔ are intersecting lines. \overleftrightarrow { \mathrm { AB } } \text { and } \overleftrightarrow { \mathrm { CF } } \text { are intersecting lines. }AB and CF are intersecting lines.

Refer to the figure to classify the statement as true or false. - The intersection of KB↔ and plane CGF is point B. \text { The intersection of } \overleftrightarrow { \mathrm { KB } } \text { and plane CGF is point } B \text {. } The intersection of KB and plane CGF is point B.

Find the measure of the dihedral angle indicated. -The figure shown is a right prism whose bases are regular octagons. Find the measure of the dihedral angle between each lateral face and a base.

Find the measure of the dihedral angle indicated. -The figure shown is a right prism whose bases are regular triangles. Find the measure of the dihedral angle between each lateral face and a base.

Find the measure of the dihedral angle indicated. -The figure shown is a right prism whose bases are regular triangles. Find the measure of the dihedral angle between adjacent lateral faces.

Refer to this figure to answer the question. -What are the endpoints on DE↔\overleftrightarrow { \mathrm { DE } }DE ?

Refer to this figure to answer the question. - Is point G on HI? ‾ ? \text { Is point } G \text { on } \overline { \text { HI? } } \text { ? } Is point G on HI? ?

Refer to this figure to answer the question. -What is the vertex of DDEI?

Find the measure of the dihedral angle indicated. -The figure shown is a right prism whose bases are regular hexagons. Find the measure of the dihedral angle between each lateral face and a base.

Refer to this figure to answer the question. $Refer to this figure to answer the question. - \text { Is point } C \text { on } \overleftrightarrow { \mathrm { DE } } \text { ? } A) Yes B) No$ - $\text { Is point } C \text { on } \overleftrightarrow { \mathrm { DE } } \text { ? }$

Refer to this figure to answer the question. $Refer to this figure to answer the question. -What are the endpoints on \overleftrightarrow { \mathrm { DE } } ? A) D B) \mathrm { E } C) None D) D and E$ -What are the endpoints on $\overleftrightarrow { \mathrm { DE } }$ ?

Refer to this figure to answer the question. $Refer to this figure to answer the question. - \text { Is point } G \text { on } \overline { \text { HI? } } \text { ? } A) Yes B) No$ - $\text { Is point } G \text { on } \overline { \text { HI? } } \text { ? }$

Refer to this figure to answer the question. $Refer to this figure to answer the question. -What is the vertex of DDEI? A) I B) \mathrm { D } C) E$ -What is the vertex of DDEI?