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.
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
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
This lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Polygons & Quadrilaterals
1Polygons
Polygons and DiagonalsAngles of a QuadrilateralAngles in Any PolygonPolygon Angles with xHow Many Sides?Recap: Polygon Angles4Parallelograms
ParallelogramsNeighbouring AnglesOpposite AnglesParallelograms with xA Diagonal InsideRecap: Parallelograms2Regular Polygons
Regular PolygonsFrom an Angle to the SidesInside a Regular PolygonRecap: Regular Polygons5Rectangles, Rhombi, Squares
RectanglesThe Diagonal of a RectangleRhombus AnglesSquaresRecap: Special Parallelograms3Exterior Angles
Exterior AnglesExterior Angles Make 360°Regular Exterior AnglesSides from the ExteriorRecap: Exterior Angles6Trapezoids and Kites
TrapezoidsIsosceles TrapezoidsTrapezoids with xKitesRecap: Trapezoids and Kites