Unit 4 Practice - Transformations and Congruence Quiz

Quadrilateral ABCD is reflected across the x-axis to form quadrilateral HGFE. Which angles must be congruent?

• All corresponding angles

Adam drew polygon QRTUV on the grid. He then translated the polygon by 4 units to the right and 5 units down. Which statement about the sides of the transformed polygon Q’R’T’U’V’ is true?

• The sides are longer.

• The sides are shorter.

• The sides remain the same length.

• The sides are doubled in length.

Lucas transformed figure 1 to obtain figure 2, then transformed figure 2 to obtain figure 3. Which transformations could Lucas have used?

• Reflection followed by rotation

• Translation followed by dilation

• Rotation followed by reflection

• Dilation followed by translation

Consider the congruent triangles shown below. Which set of transformations can be used to prove the triangles are congruent?

• Translation and dilation

• Rotation and reflection

• Rotation and translation

• Dilation and rotation

Figure DEFG is graphed on the coordinate axes. This figure is rotated 180° clockwise about the origin to give figure D’E’F’G’. Which graph accurately shows the position of D’E’F’G’?

• The coordinates are the same as DEFG.

• The coordinates are the opposites of DEFG.

• The coordinates are swapped and opposites.

• The coordinates are doubled.

Which set of coordinates represents the reflection of the following image over the y-axis?

Look at △QRP and △TUS on this coordinate grid. Which transformation shows that △QRP and △TUS are similar?

• Translation

• Rotation

• Dilation

• Reflection

• 3

• 6

• 12

• 18

Triangle ABC is reflected across the y-axis and then translated down 2.5 units to form A’B’C’. Determine if which statements below are true. Select all that apply.

• The orientation of the triangle changes.

• The size of the triangle changes.

• The position of the triangle changes.

• The triangles are congruent to each other.

• The triangles are not congruent, but are similar.