AnswersAG Q4 Math 8 25-26 JTurnerCongruence

Congruence Answers

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In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, , and . If , which statement is true?

Question illustration
A
AB = 12.3 cm
B
AB = 10.6 cm
C
Measure of angle C = 55 degrees
Option C
D
Measure of angle C = 80 degrees
Option D
2
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Manuela claims that and are congruent. Which statement best describes her claim?

Question illustration
A
She is incorrect because the segments do not have the same orientation.
B
She is incorrect because the segments do not have the same length.
C
She is correct because the segments have the same length.
D
She is correct because the segments have the same orientation.
3

Which statement describes the congruent triangles?

Question illustration
A
Triangle W X Z is congruent to triangle Y Z X
Option A
B
Triangle W X Z is congruent to triangle Y X Z
Option B
C
Triangle W X Z is congruent to triangle X Y Z
Option C
D
Triangle W X Z is congruent to triangle Z Y X
Option D
4

Which pair of segments in the figures below are congruent?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
5

Rectangle JKLM is congruent to a 4 inch by 7 inch rectangle. How many different values are possible for the length of ?

Question illustration
A
one
B
two
C
three
D
four
6

Amber believes triangle ABC and triangle GFE are congruent. She has recorded the measures of some of the angles and the lengths of some of the sides in the triangles below. What additional measurement would support Amber’s hypothesis?

Question illustration
A
The measure of is 32°.
Option A
B
The measure of is 40°.
Option B
C
The measure of is 50°.
Option C
D
The measure of is 90°.
Option D
7

Which statement describes this pair of congruent triangles?

Question illustration
A
Triangle H J K is congruent to triangle L M N
Option A
B
Triangle H J K is congruent to triangle M L N
Option B
C
Triangle H J K is congruent to triangle N L M
Option C
D
Triangle H J K is congruent to triangle N M L
Option D
8

Kris claims that the two figures must be congruent. Which statement best describes his claim?

Question illustration
A
He is correct because both figures are triangles.
B
He is correct because the measures of the angles are the same in both figures.
C
He is incorrect because the triangles are not oriented the same way.
D
He is incorrect because the lengths of the corresponding sides of the figures are unknown.
9

Joaquin drew the triangle below. Which statement must be true about a figure that is congruent to Joaquin’s triangle?

Question illustration
A
It has two angles on the x-axis.
B
It has a side that is 9 units long.
C
It has a side that lies on the x-axis.
D
It has an obtuse angle.
10

If describes two triangles, which other statement is also true?

Question illustration
A
Triangle Q R S is congruent to Triangle X Y Z
Option A
B
Triangle Q R S is congruent to Triangle Y Z X
Option B
C
Triangle Q R S is congruent to Triangle Z X Y
Option C
D
Triangle Q R S is congruent to Triangle X Z Y
Option D
11

Which type of surface is best able to reflect light?

A
A rough, cloudy surface.
B
A rough, polished surface.
C
A smooth, polished surface.
D
A smooth, cloudy surface.
12

A light ray hits a hard, opaque object. The angle at which the light ray bounces off the object depends on

A
the smoothness of the surface.
B
the material the surface is made of.
C
the angle at which the light hits the surface.
D
the source of the light that hits the surface.
13

Which describes an image that a plane mirror can make?

A
The image is always real.
B
The image can be either virtual or real.
C
The image is never right-side up.
D
The image can only be the same size as the object.
14

How does a concave mirror form an image?

A
It bends the light toward a focal point.
B
It bends the light away from a focal point.
C
It bounces the light toward a focal point.
D
It bounces the light away from a focal point.
15

Which describes one feature of the image formed by a convex mirror?

A
same size as the object
B
a real image
C
upside down
D
right side up
16

Lin Yao looks at the back of a spoon. How should she describe her reflection?

A
upside down and smaller
B
upside down and larger
C
right-side up and smaller
D
right-side up and larger
17

The diagram below shows a paper clip in front of a mirror.Where will the image of the paper clip appear to the observer?

Question illustration
A
1
B
2
C
3
D
4
18

Which building material would provide the best surface for viewing a reflection?

A
cement
B
brick
C
glass
D
wood
19

Xander drew a diagram of a candle and its reflection in a mirror as shown below.

Question illustration
A
The reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle.
B
The reflection of the candle in the convex mirror formed an upside-down real image that is smaller than the candle.
C
The reflection of the candle in the concave mirror formed an upside-down virtual image that is smaller than the candle.
D
The reflection of the candle in the convex mirror formed an upside-down virtual image that is smaller than the candle.
20

The diagram below shows a light ray from a pencil hitting a mirror.Which ray shows the correct direction of the reflected ray?

Question illustration
A
1
B
2
C
3
D
4

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