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Algebra
- Reasoning How many midsegments can a triangle have? How many midsegments can a trapezoid have? Explain.
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Algebra
A kite is a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.
Essential Understanding The angles, sides, and diagonals of a kite have certain properties.
Take note Theorem 6-22
Theorem
If a quadrilateral is a kite, then its diagonals are perpendicular.
If …
ABCD is a kite
Then …
Proof Proof of Theorem 6-22
Given: Kite ABCD with
Prove:
| Statements | Reasons |
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1) Kite ABCD with
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1) Given |
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2)
A and C lie on the perpendicular bisector of
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2) Converse of Perpendicular Bisector Theorem |
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3)
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3) Two points determine a line. |
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4)
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4) Definition of perpendicular bisector |
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs