Free Printable Re-Assessment: Lesson 4-1 Congruence

1.

Given

\Delta ABC\ \cong\Delta DEF\

\angle A\ \cong\ ?

a)

$\angle D$

b)

$\angle E$

c)

$\angle F$

d)

$\angle C$

2.

Given

\Delta ABC\ \cong\Delta DEF\

\angle C\ \cong\ ?

a)

$\angle D$

b)

$\angle E$

c)

$\angle F$

d)

$\angle A$

3.

Given

\Delta ABC\ \cong\Delta DEF\

\angle F\ \cong\ ?

a)

$\angle A$

b)

$\angle B$

c)

$\angle C$

d)

$\angle D$

4.

Given

\Delta ABC\ \cong\Delta DEF\

\overline{BC}\ \cong\ ?

a)

$\overline{DE}$

b)

$\overline{EF}$

c)

$\overline{DF}$

d)

$\overline{FE}$

5.

Given

\Delta ABC\ \cong\Delta DEF\

\overline{CA}\ \cong\ ?

a)

$\overline{DE}$

b)

$\overline{EF}$

c)

$\overline{DF}$

d)

$\overline{FD}$

6.

Given Hexagons

ABCDEF\ \cong PQRSTU

\angle S\cong\ ?

a)

$\angle A$

b)

$\angle B$

c)

$\angle C$

d)

$\angle D$

e)

$\angle E$

7.

$\Delta PET\cong\Delta DOG$

Which of the following are TRUE

a)

$\angle P\cong\angle D$

b)

$\overline{TE}\cong\overline{GO}$

c)

$\angle T\cong\angle O$

d)

$\overline{TP}\cong\overline{GD}$

e)

$\overline{TE}\cong\overline{OG}$

8.

$\Delta ABC\ \cong\Delta?$

a)

$\Delta EFD$

b)

$\Delta DFE$

c)

$\Delta DEF$

d)

$\Delta FED$

9.

What is congruency?

a)

Same size and shape

b)

Same size

c)

segment

d)

congruent

10.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

11.

Which of the following are Rigid Transformations?

a)

Reflection

b)

Translation

c)

Contemplation

d)

Rotation

12.

What do we call the original figure after performing a rigid transformation?

a)

Pre Image

b)

Image

13.

What do we call the figure after performing a rigid transformation?

a)

Pre Image

b)

Image

14.

We say that rigid transformations dont change the size or shape of a figure. What does this mean?

a)

What does anything mean really? We're just a blip in the universe; a sound that can't be heard, a face that can't be seen - destined to be forgotten before we're realized. (-//-)

b)

The figures are not congruent.

c)

The figures are congruent

15.

What kind of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

16.

What kind of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

17.

What kind of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

18.

Rigid transformations preserve (a)

19.

What is another way to describe a translation?

a)

Teleport

b)

Jump

c)

Glide

d)

Slide

20.

When reflecting a figure, you reflect across

a)

the page

b)

The line of reflection

c)

The center point

21.

What is needed when performing a rotation?

a)

A center of rotation

b)

An angle of rotation

c)

A calculator

d)

A compass to measure the angle of rotation and position of the points.

22.

What is needed when performing a reflection?

a)

A center of rotation

b)

All sets of points to be equidistant from the line of reflection

c)

A line of reflection

d)

The direction to be perpendicular to the line of reflection.

23.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

24.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

25.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

26.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

27.

What rule describes the translation?

a)

(x - 6, y + 2)

b)

(x - 2, y + 6)

c)

(x + 2, y - 6)

d)

(x + 6, y - 2)

28.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

29.

What is the rule for the following reflection?

a)

Reflection across y = 3

b)

Reflection across x = −3

c)

Reflection across x = 3

d)

Reflection across y = −3

30.

Which transformation is NOT a rigid motion (the size changes)?

a)

reflection

b)

rotation

c)

dilation

d)

translation

31.

A rigid motion ...

a)

preserves size and location

b)

preserves shape and location

c)

preserves size and shape

d)

makes the figure larger

32.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

33.

Triangle C is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

34.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

35.

Which of the following is NOT a rigid motion?

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

36.

True or False: Rigid motions preserve angle measure.

a)

True

b)

False

37.

True or False: Rigid motions preserve segment length.

a)

True

b)

False

38.

A rigid motion creates figures that are ____________.

a)

congruent

b)

different sizes

c)

similar

d)

larger

39.

Identify the rigid transformation shown in the picture

a)

Translation

b)

Reflection

c)

Rotation

40.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

2 units to the right, 5 units down

b)

2 units to the right, 9 units down

c)

2 units to the left, 9 units up

d)

2 units to the left, 5 units down

41.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

42.

A transformation that “turns” a figure about a point at a given angle and a given direction.

a)

rotation

b)

translation

c)

reflection

d)

dilation

43.

Figures that are same size, same shape and same angles are...

a)

Congruent

b)

Image

c)

Angles

d)

Vertices

44.

What does a translation do to an image?

a)

Turns it 90* clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

45.

What side corresponds to ED?

a)

TA

b)

NA

c)

TN

d)

RD

46.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

47.

Identify the transformation from A to D.

a)

90^o Clockwise Rotation
270^o Counter Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation
90^o Counter Clockwise Rotation

d)

360^o Rotation

48.

Identify the transformation from C to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

49.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

50.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90^o counter clockwise rotation

51.

If the dotted figure is the image, the original figure was reflected over the ...

a)

x-axis

b)

y-axis

52.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

53.

Does the transformation shown preserve congruence and/or orientation?

a)

Congruence yes, Orientation yes

b)

Congruence No, Orientation No

c)

Congruence No, Orientation yes

d)

Congruence Yes, Orientation No

54.

Does the transformation shown preserve congruence and/or orientation?

a)

Congruence yes, Orientation yes

b)

Congruence No, Orientation No

c)

Congruence No, Orientation yes

d)

Congruence Yes, Orientation No

55.

Does the transformation shown preserve congruence and/or orientation?

a)

Congruence yes, Orientation yes

b)

Congruence No, Orientation No

c)

Congruence No, Orientation yes

d)

Congruence Yes, Orientation No

56.

Find K'.

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

57.

Find E'.

a)

(-1, -5)

b)

(-2, -2)

c)

(0, -4)

d)

(-4, 0)

58.

Reflect the figure across the y-axis. What are the coordinates of A'?

a)

(-2, -4)

b)

(2, 4)

c)

(-2, 4)

d)

(2, -4)

59.

Rigid motions preserve... (select all)

a)

side lengths

b)

orientation

c)

position

d)

angle measures

Re-Assessment: Lesson 4-1 Congruence

Total questions: 59

Worksheet time: 2hrs 41mins

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