Menu

Isosceles Trapezoids

Part of the Polygons & Quadrilaterals section of Coddy's Geometry journey. Lesson 28 of 61.

An isosceles trapezoid has equal legs. It is symmetric: folded along the line through the middles of its bases, one half lands on the other. So its two angles at each base are equal, and figures state that with matching arcs.

Isosceles trapezoid: base angles of 75 degrees, top angles of 105 degrees

Here the bottom angles are 75° each. Along each leg the angles are co-interior, so each top angle is 180 − 75 = 105°. The board reads the equal base angles from the arcs, not from the ticks on the legs: use Marked equal to carry an angle across a base, and Co-interior angles to go up a leg.

challenge icon

Challenge

ABCD is an isosceles trapezoid with AB ∥ DC. The angles at A and B carry the same arc, and ∠A = 64°. Find ∠C, marked ?, then press Check.

Try it yourself

Find the marked part of the figure

Find the marked part of the figure

quiz iconTest yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Polygons & Quadrilaterals