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Kites

Part of the Polygons & Quadrilaterals section of Coddy's Geometry journey. Lesson 28 of 59.

A kite has two pairs of equal sides, and each pair meets at a corner: AB = AD and CB = CD. The diagonal AC is a line of symmetry. Fold the kite along it and B lands on D.

$Kite ABCD: 120 degrees at A, 50 at C, and equal angles of 95 at B and D$

So the angles at B and D, between the unequal sides, are equal, and figures state that with matching arcs. Here ∠A = 120° and ∠C = 50°. The four angles make 360°, so the equal pair shares $360-170 = 190$ degrees: 95° each. Pick Angles in a polygon: the board reads the equal pair from the arcs.

Challenge

ABCD is a kite with AB = AD and CB = CD. ∠A = 100°, ∠C = 60°, and the angles at B and D carry the same arc. Find ∠B, marked ?, then press Check.

Try it yourself

$Find the marked part of the figure$

Find the marked part of the figure

All lessons in Polygons & Quadrilaterals

2Regular Polygons

Regular Polygons Inside a Regular Polygon Recap: Regular Polygons

5Rectangles, Rhombi, Squares

Rectangles The Diagonal of a Rectangle Rhombus Angles Squares Recap: Special Parallelograms

8Area of Parallelograms

Area of a Rectangle A Side from the Area Slide the Top Area of a Parallelogram Recap: Parallelogram Area

11Polygon Chases

Parallel Sides in a Pentagon Marks, Not Looks Pentagon with x Regular Shapes Together Recap: Polygon Chases

3Exterior Angles

Exterior Angles Exterior Angles Make 360°Regular Exterior Angles Sides from the Exterior Recap: Exterior Angles

6Trapezoids and Kites

Trapezoids Isosceles Trapezoids Trapezoids with xKitesRecap: Trapezoids and Kites

9Area of Trapezoids

Area of a Trapezoid A Missing Base Find the Height First Trapezoids by Area Recap: Trapezoid Area

12Final Challenges

Final: The Garden Bed Final: Enough to Finish?Final: The Ramp Final: The Gable Wall Final: The Star Point