All Four Translations Test Review

Triangle DEF was rotated 90^o counter-clockwise to produce Triangle D'E'F'. Which angles are congruent?

• ∠D ≅∠F'

• ∠E ≅∠E'

• ∠F ≅∠E'

• ∠F ≅∠D'

In the diagram below, Q' is the result of a single transformation of Q. Which is a true statement about the transformation?

• It must be a reflection.

• It can be a translation or a reflection, but not a rotation.

• It cannot be a translation, reflection, or rotation.

• It must be a translation.

The quadrilateral ABCD shown on the grid below is reflected about the x-axis to A'B'C'D'. Which two quadrilateral sides are parallel?

• Side A'D' and Side D'C'

• Side A'B' and Side A'D'

• Side B'C' and Side B'C'

• Side A'B' and Side D'C'

Rona graphs triangle ABC on coordinate axes. He performs two transformations on this figure that result in the congruent triangle XYZ. Which series of transformations did Rona most likely use?

• A translation of 4 units left and 3 units up, and a dilation by a scale factor of 2/3.

• A reflection across the y-axis, and a rotation of 180^o.

• A rotation of 90^o clock-wise, and a dilation by a scale factor of 2.

• A reflection across the x-axis, and an enlargement by a scale factor of 1/3.

Triangle PQR, as shown on the graph, was formed after triangle ABC was translated 2 units to the right and 4 units up. Before the translation, what was the location of vertex A? (Hint: A to P, B to Q, C to R)

• (-9,-1)

• (-5,7)

• (-1,0)

• (1,5)

The graph of Triangle PQR is shown on the coordinate plane below. Mya draws a reflection of this triangle across the x-axis to create P'Q'R'. What are the coordinates of the vertices of Triangle P'Q'R'?

• P'(7,3), Q'(-3,9), R'(-1,4)

• P'(-7,3), Q'(3,9), R'(1,-4)

• P'(7,3), Q'(-3,9), R'(-1,4)

• P'(-7,-3), Q'(3,-9), R'(1,-4)

Figure DEFG is graphed on the coordinate axes. This figure is rotated 90˚ clockwise about the origin to give figure D'E'F'G'. Which graph accurately shows the position of D'E'F'G'?

• 
• 
• 
• 

Triangle PQR is graphed on the coordinate plane. If triangle PQR is translated down 5 units, which points will be vertices of the image? Choose ALL that are correct.

• (-7,-2)

• (-12,3)

• (1,0)

• (-4,4)

• (3,4)

Look at Triangle DEF and Triangle XYZ on this coordinate grid. Which transformation shows that Triangle DEF and Triangle XYZ are similar?

• a translation to the left 7 units and up 7 units

• a dilation by a scale factor of 1/2, and then a translation left 7 units and up 7 units

• a reflection across the x-axis, and then a reflection across the y-axis

• a rotation of 180 degrees

Triangle M'N'O' is the result of a rotation of MNO, followed by a dilation. Which statement best describes the relationship between M'N'O' and MNO?

• they are similar, but are not congruent.

• they are neither similar or congruent.

• they are both similar and congruent.

• they are congruent, but are not similar.