triangle ABC with A at 0 comma 0, B at 2 comma 4 and C at 0 comma 2, the measure of angle C is 135 degrees, and the measure of angle B is 30 degrees, triangle DEF with D at 2 comma 0, E at 4 comma 4 and F at 4 comma 2, the measure of angle F is 135 degrees, and the measure of angle D is 30 degrees Name the congruent triangles and justify the reason for congruence

by SSS congruence.

Step-by-step explanation:

Given the two triangles with following coordinates and angles:

A(0, 0)

B(2, 4)

C(0, 2)

D(2, 0)

E(4, 4)

F(4, 2)

Let us calculate the sides of the two triangles one by one.

Distance formula:

and are the two coordinates of which distance is to be calculated.

Sides AB = DE

BC = DF and

AC = EF

All the three sides are equal here. So SSS (Side Side Side) congruence.

And angles:

Therefore,

by SSS congruence.

both equations and proportions are better.

i need points

step-by-step explanation:

sorry bubs