Question

n that the two triangles shown are congruent, explain one way to verify that the corresponding angles of the two triang
a translate triangle 2 up 3 units, and to the left 5 units
b translate triangle 1 up 3 units, and to the right 5 units
c translate triangle 1 down 3 units, and to the left 5 units
d translate triangle 2 down 3 units, and to the left 5 units

Explanation:

Step1: Analyze translation direction

Translation is a rigid transformation that moves every point of a figure or space by the same distance in a given direction.

Step2: Determine correct translation for triangle 1

Looking at the positions of the two triangles, to make triangle 1 coincide with triangle 2 (to check corresponding angles via congruence - translation preserves angles), we need to move triangle 1 down 3 units (to match the vertical position) and to the right 5 units (to match the horizontal position).

Answer:

B. translate triangle 1 up 3 units, and to the right 5 units