In the figure shown below, the two triangles are congruent, and the two rectangles are congruent. Both the congruence of the triangles and the congruence of the rectangles can be exhibited with one or more sequences of transformations. Part A

Which of these can be exhibited with a translation followed by another translation?

a. only the congruence of the triangles
b. only the congruence of the rectangles
c. both the congruence of the triangles and the congruence of the rectangles
d. neither the congruence of the triangles nor the congruence of the rectangles.

Part B

Which of these can be exhibited with a reflection followed by another reflection.

a. only the congruence of the triangles
b. only the congruence of the rectangles
c. both the congruence of the triangles and the congruence of the rectangles
d. neither the congruence of the triangles nor the congruence of the rectangles

Part A-only the congruence of the rectangles

Step-by-step explanation:

Part B-C-both the congruence of the triangles and the congruence of the rectangles

add an image

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.