Isosceles Trapezoids, angles, sides, diagonals and other properties. Explained with pictures and practice problems

The defining trait of this special type of trapezoid is that the two non-parallel sides (XW and YZ below) are congruent.

The base angles of an isosceles trapezoid are congruent.

If you know that angle BAD is 44°, what is the measure of $$ \angle ADC $$ ?

Angle $$ \angle ADC = 44° $$ since base angles are congruent

$$ \angle ABC = 130 $$, what other angle measures 130 degrees?

Single $$ \angle ADC = 4° $$ since base angles are congruent

What is the value of j in the isosceles trapezoid below?

J = 5

The diagonals of an isosceles trapezoid are congruent. What is the value of x below? (use your knowledge about diagonals!)

X = 9

Isosceles Trapezoid