7-3 Proving Triangles Similar
Objectives
To use the AA
To use similarity to find indirect measurements
Lesson Vocabulary
- indirect measurement
In the Solve It, you determined whether the two triangles are similar. That is, you needed information about all three pairs of angles and all three pairs of sides. In this lesson, you'll learn an easier way to determine whether two triangles are similar.
Essential Understanding You can show that two triangles are similar when you know the relationships between only two or three pairs of corresponding parts.
Take note Postulate 7-1: Angle-Angle Similarity (AA
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Postulate
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
If …
Then …
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