Spring Break:Translations (We Do)

Triangle ABC is transformed to create triangle MNL.

Which statement is true?

• The transformation is rigid because corresponding side lengths and angles are congruent.

• The transformation is rigid because corresponding side lengths are congruent and corresponding angles are not congruent.

• The transformation is nonrigid because the two triangles have different names.

• The transformation is nonrigid because the three sides and the three angles in each triangle have different measures.

A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this?

• dilation

• translation

• rotation

• reflection

Where would point J' be if you translated point 5 units to the left and 2 units up?

Hint: Point J is (0,1)

• (5, 3)

• (3, -5)

• (-5, 3)

• (-3, 5)

Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are

(4, –5), what are the coordinates of B'?

• (2, 3)

• (1, –9)

• (–3, –4)

• (6, –13)

Square ABCD is translated by the rule (x, y) → (x – 3, y + 1). What are the coordinates of D′?

Point D is (1,3)

• (–2, 4)

• (4, 2)

• (0, 0)

• (–3, 4)

Answer explanation

Where would A' be if you translated A 3 units to the right and 4 units down?

• (-4, 4)

• (-1, 0)

• (0, -1)

What is the image for the point (5, 5) and the rule (x + 2, y-3)?

• (7, 2)

• (7, -4)

• (3, 2)

Answer explanation

In the figure, triangle PQR has vertices P(0, −1), Q(3, −1) and R(5, −3). What are the vertices of the image after the translation (x, y) → (x − 5, y + 1)?

• P′ (1, −6), Q′ (4, −6), R′ (6, −8)

• P′ (−5, 0), Q′ (−2, 0), R′ (0, −2)

• P′ (5, −2), Q′ (8, −2), R′ (10, −4)

• P′ (−1, 4), Q′ (2, 4), R′ (4, 2)

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

• (4,0)

• (0,4)

• (-1,5)

• (5,-1)

In the figure, triangle PQR has vertices P(0, −1), Q(3, −1) and R(5, −3). What are the vertices of the image after the translation (x, y) → (x − 5, y + 1)?

• P′ (1, −6), Q′ (4, −6), R′ (6, −8)

• P′ (−5, 0), Q′ (−2, 0), R′ (0, −2)

• P′ (5, −2), Q′ (8, −2), R′ (10, −4)

• P′ (−1, 4), Q′ (2, 4), R′ (4, 2)