Question

a. choose the transformations that exhibit the congruence between each pair of figures. multiple answer 1 point 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. b. choose the transformations that exhibit the congruence between each pair of figures. multiple answer 1 point 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: Analyze the first - pair of triangles

For the first pair of triangles, to map one triangle to the other, we first note that reflecting $\triangle{JKL}$ across the $y$ - axis will change the sign of the $x$ - coordinates of its vertices. Then, to align it vertically with the other triangle, we need to translate it down 5 units.

Step2: Analyze the second - pair of triangles

For the second pair of triangles, rotating the shaded triangle 90 degrees counter - clockwise about the vertex at $(0,4)$ will change the orientation of the triangle. Then, translating the rotated triangle right 4 units and up 4 units will map it onto the other triangle.

Answer:

a. First, reflect $\triangle{JKL}$ across the $y$ - axis. Next, translate the triangle down 5 units.
b. First, rotate the shaded triangle 90 degrees counter - clockwise about the vertex at $(0,4)$. Next, translate the rotated triangle right 4 units and up 4 units.