Quiz about Congruency and Transformations

Question 1

Are the figures congruent? Explain.

Accepted Answer

Congruent by rotation.

Answer

Congruent by translation.

Answer

Congruent by dilation.

Answer

Congruent by reflection.

Question 2

Which congruency statement correctly compares these two triangles?

Accepted Answer

$$\Delta NMO\ \cong\ \Delta STV$$

Answer

$$\Delta OMN\ \cong\ \Delta STV$$

Answer

$$\Delta NMO\ \cong\ \Delta SVT$$

Answer

$$\Delta OMN\ \cong\ \Delta TVS$$

Question 3

Are the figures congruent? Explain.

Accepted Answer

Not congruent, sizes are different.

Answer

Congruent by rotation.

Answer

Congruent by dilation.

Answer

Congruent by reflection.

Question 4

Which congruency statement correctly compares these triangles?

Accepted Answer

$$\Delta ABC\ \cong\ \Delta FGJ$$

Answer

$$\Delta ABC\ \cong\ \Delta GFJ$$

Answer

$$\Delta ABC\ \cong\ \Delta FJG$$

Question 5

What type of transformation is shown?

Accepted Answer

Dilation

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 6

Question 6.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 7

Determine if the two figures are congruent by using transformations. Explain your reasoning

Accepted Answer

congruent; a reflection followed by translation

Answer

congruent; a rotation

Answer

not congruent

Answer

congruent; a reflection

Question 8

Determine if the two figures are congruent by using transformation. If so, what kind of transformation?

Accepted Answer

congruent; reflection

Answer

congruent; a counterclockwise rotation of 90 degrees followed by a translation

Answer

congruent; translation

Answer

not congruent

Question 9

Determine if the two figures are similar by using transformations.

Accepted Answer

similar; a translation and a dilation map one figure onto the other.

Answer

similar; a reflection and a dilation map one figure onto the other.

Answer

similar; a rotation and a dilation map one figure onto the other.

Answer

the figures are not similar.

Question 10

Are the figures congruent or similar?

(What type of transformation is shown?)

Accepted Answer

Similar (dilation)

Answer

Similar (translation)

Answer

Congruent (dilation)

Answer

Congruent (translation)

Question 11

Determine if the two figures are congruent by using transformations. Explain your reasoning.

Accepted Answer

not congruent

Answer

congruent; a rotation

Answer

congruent; a reflection followed by translation

Answer

congruent; a reflection

Question 12

Are the figures congruent?

(What type of transformation is shown?)

Accepted Answer

NOT Congruent (dilation)

Answer

NOT Congruent (translation)

Answer

Congruent (dilation)

Answer

Congruent (translation)

Question 13

Determine if the two figures are similar by using transformations.

Accepted Answer

similar; a translation and a dilation map one figure onto the other.

Answer

similar; a reflection and a dilation map one figure onto the other.

Answer

similar; a rotation and a dilation map one figure onto the other.

Answer

The figures are not similar.

Question 14

Review: Point M was translated 5 units right and 1 unit down, and then reflected over the y-axis to create point M''. Determine the location of point M, given M'' is (3, -9)

Accepted Answer

M(-8, -8)

Answer

M(8, -8)

Answer

M(-8, 8)

Answer

M(-2, -8)

Question 15

Point N is reflected over the y-axis and then rotated 90 degrees clockwise. Determine the coordinate of N, given N'' is located at (2, -3).

Accepted Answer

N(-3, 2)

Answer

N(2, 3)

Answer

N(3, 2)

Answer

N(3, -2)

Congruency and Transformations

20 questions

Are the figures congruent? Explain.

Which congruency statement correctly compares these two triangles?

Are the figures congruent? Explain.

Which congruency statement correctly compares these triangles?

What type of transformation is shown?

Which statement about figure 1 and 2 must be true?

Determine if the two figures are congruent by using transformations. Explain your reasoning

Determine if the two figures are congruent by using transformation. If so, what kind of transformation?

Determine if the two figures are similar by using transformations.

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