Question

On the graph, two right triangles have the line as the hypotenuse. In this task, you will use these triangles to show that the slope between points E and A is the same as the slope between points A and C.
Q1:
Which angles of the triangles measure 90°?

Q2: To show that the other two angle measurements in each triangle are equal, you can use parallel lines cut by a transversal. Which two pairs of line segments formed by triangle sides are parallel, and what is the transversal for each pair?

Answer 1

Answer: Answer: Triangle ABC is similar to triangle EDC because Measure of angle 3 equals measure of angle 4 and Measure of angle 1 equals measure of angle 5

Step-by-step explanation:

Given:.

Where AE and BD are the common transversals of parallel lines AB and DE,

Also, Angle CAB is labeled 1, angle ABC is labeled 2, angle ACB is labeled 3, angle DCE is labeled 4, angle CDE is labeled 6, and angle CED is labeled 5.

Thus,      ( Vertically opposite angles )

           ( Alternative interior angle theorem)

Thus, By  the AA similarity postulate,

Hence, proved.

The Second Option is correct.

Step-by-step explanation: there u go ;)