proof Proof of Theorem 7-3
Given: Right
Prove:
| Statements | Reasons |
|---|---|
|
1)
|
1) Given |
|
2)
|
2) Given |
|
3)
|
3) Definition of altitude |
|
4)
|
4) Definition of
|
|
5)
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5) All right  are
|
|
6)
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6) Reflexive Property of
|
|
7)
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7) AA
|
|
8)
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8) Corresponding
|
|
9)
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9) All right are
|
|
10)
|
10) AA
|
Problem 1 Identifying Similar Triangles
What similarity statement can you write relating the three triangles in the diagram?
Plan
What will help you see the corresponding vertices?
Sketch the triangles separately in the same orientation.
✓ Got It?
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What similarity statement can you write relating the three triangles in the diagram?
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Reasoning From the similarity statement in part (a), write two different proportions using the ratio
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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