The coordinates of the vertices of △pqr are p(1, 4) , q(2, 2) , and r(−2, 1) . the coordinates of the vertices of △p′q′r′ are p′(−1, 4) , q′(−2, 2) , and r′(2, 1) . which statement correctly describes the relationship between △pqr and △p′q′r′ ? △pqr is congruent to △p′q′r′ because you can map △pqr to △p′q′r′ using a translation 2 units to the left, which is a rigid motion. △pqr is congruent to △p′q′r′ because you can map △pqr to △p′q′r′ using a reflection across the y-axis, which is a rigid motion. △pqr is not congruent to △p′q′r′ because there is no sequence of rigid motions that maps △pqr to △p′q′r′ . △pqr is congruent to △p′q′r′ because you can map △pqr to △p′q′r′ using a reflection across the x-axis, which is a rigid motion.

ANSWER

The correct  answer is B

EXPLANATION

If we analyse the coordinates carefully, you realize there is a mapping of

This is a reflection in the y-axis.

Since the transformation is a reflection, the shape is preserved. Therefore, the image triangle P'Q'R' of triangle

PQR are congruent.

i dont know men

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.