Rectangle lmno is translated using the rule (x, y) → (x + 2, y + 2) to create rectangle l'm'n'o'. if a line segment is drawn from point l to point l' and from point o to point o', which statement would best describe the relationship between segment l l prime and segment o o prime?

Explanation:

The transformation described by the rule  (x, y) → (x + 2, y + 2) is a translation two units to the right and two units up.

That means that, to create rectangle L'M'N'O', every point of the reactangle LMNO is translated the same amount in the same direction; thus, this is a rigid transformation where angles, lengths, size, shape, and orientation are kept.

Then a segment drawn from point L to L' will have the same length and the same orientation (inclination) of a segment drawn from the point O to O'. Thus, these two segments are parallel and congruent.

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.

answer: a.12cm

step-by-step explanation: