Congruence and Translations

Translation are always _______

• Congruent

• Bigger

• Smaller

• Rotated

Translations keep

• both congruence and orientation

• only congruence

• only orientation

• neither

Tell whether the two figures are congruent.

• Yes, same size and same shape

• No, same shape but different sizes

• No, different size and different shapes

What is congruence?

• Same size, different shape

• Same size, same shape

• The way a figure is facing

• Flipping over a line

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right

• Translated 5 units down and 1 to the right

• Translated 8 units down and 5 units to the right

• Translated 5 units down and 4 units to the right

Which translation can be used to prove that figures 2 and 3 are congruent?

• (x, y) → (x, y - 4)

• (x, y) → (x + 2, y)

• (x, y) → (x - 3, y + 1)

• (x, y) → (x + 1, y - 3)

Parallelogram EFGH is translated right 4 and down 2 to form parallelogram E'F'G'H'. Are the figures congruent?

• Yes

• No

The blue object is the original shape and it has been translated to the red shape. How has the shape moved?

• (2, -6)

• (-2, 6)

• (-6, 2)

• (6, -2)

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

• (x-2, y+5)

• (x+2, y-9)

• (x-2, y+9)

• (x-9, y+2)

If triangle PQR is translated 2 units up and 7 units right, which best represents the coordinates of the new figure?

• P'(4,-1), Q'(6,-1), R'(7,3)

• P'(2,-1), Q'(4,-1), R'(5,3)

• P'(1,0), Q'(3,0), R'(4,2)

• P'(2,-2), Q'(4,-2), R'(5,2)