Isosceles Trapezoid Property: Analyzing Base Angle Relationships

Question

True OR False:

In all isosceles trapezoids the base Angles are equal.

00:05 Are the base angles equal in every isosceles trapezoid? Let's find out!

00:10 The given data tells us the sides are equal. Interesting, right?

00:15 Now, let's draw the diagonals of the trapezoid. Visualize the lines from opposite corners.

00:29 Notice how the diagonals are equal in length. That's key!

00:39 We see that triangles are congruent by the S.A.S. Rule. That's Side, Angle, Side.

00:51 So, the corresponding angles are equal by congruence. Aha!

01:01 And that's how we solve this problem! Well done!

True: in every isosceles trapezoid the base angles are equal to each other.

True