The coordinates of the vertices of △DEF are D(−2,3) , E(−1,7) , and F(2,1) . The coordinates of the vertices of △D′E′F′ are D′(3,−2) , E′(7,−1) , and F′(1,2) . Which statement is correct? △DEF is congruent to △D′E′F′ because you can map △DEF to △D′E′F′ using a 180° rotation about the origin, which is a rigid motion. △DEF is congruent to △D′E′F′ because you can map △DEF to △D′E′F′ using a reflection across the line y = x, which is a rigid motion. △DEF is not congruent to △D′E′F′ because there is no sequence of rigid motions that map △DEF to △D′E′F′ . △DEF is congruent to △D′E′F′ because you can map △DEF to △D′E′F′ using 90° counterclockwise rotation about the origin, which is a rigid motion.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

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.

$6.42

step-by-step explanation: