Question

multiple answer 1 point

1. a. choose the transformations that exhibit the congruence between each pair of figures.

first, rotate the shaded triangle 90 degrees counter - clockwise about the vertex at (0,4).
next, translate the rotated triangle left 4 units and down 4 units.
first, rotate the shaded triangle 90 degrees clockwise about the vertex at (0,4).
next, translate the rotated triangle right 4 units and up 4 units.
multiple answer 1 point

1. b. choose the transformations that exhibit the congruence between each pair of figures.

first, reflect △jkl across the y - axis.
first, reflect △jkl across the x - axis.
next, translate the triangle down 5 units.
next, translate the triangle up 5 units.

Explanation:

Step1: Recall congruence - preserving transformations

Congruent figures have the same shape and size. Transformations like translations, rotations, and reflections preserve congruence.

Step2: Analyze question 10

Rotating the shaded triangle 90 degrees counter - clockwise about the vertex at (0,4), then translating it left 4 units and down 4 units will result in a congruent figure. Also, rotating 90 degrees clockwise about the vertex at (0,4) and then appropriate translations can also work.

Step3: Analyze question 11

Reflecting △JKL across the y - axis and then translating it down 5 units or up 5 units will result in a congruent figure. Reflection across the x - axis followed by translation also preserves congruence.

Answer:

1. First, rotate the shaded triangle 90 degrees counterclockwise about the vertex at (0,4). Next, translate the rotated triangle left 4 units and down 4 units; First, rotate the shaded triangle 90 degrees clockwise about the vertex at (0,4). Next, translate the rotated triangle as per the requirements to get a congruent figure.
2. First, reflect △JKL across the y - axis. Next, translate the triangle down 5 units; First, reflect △JKL across the x - axis. Next, translate the triangle up 5 units.