Download Identifying and Using Kites

Geometry
Guided Notes
Kites
Identifying and Using Kites
Name: ______________________________
Date: __________________ Period: _____
Kite – a quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are NOT
congruent.
Theorem – If a quadrilateral is a kite, then its diagonals are perpendicular.
Theorem – If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.
Vertex Angles - are the angles at the end of the longest diagonals.
The longest diagonal bisects the vertex angles.
The longest diagonal bisects the shortest diagonal.
To find the sides of a kite given the lengths of the diagonals (half the length), use the Pythagorean
theorem. The diagonals intersect at right angles.
Example #1:
1. If AE = 4 and BE = 3, what is the measure of BA?
2. If AE = 3x + 1 and AC = 8x - 18, find x.