Presentation on theme: "Using Proportions to Solve Geometry Problems Section 6.3."— Presentation transcript:
Using Proportions to Solve Geometry Problems Section 6.3
Scale Factor Two polygons are similar polygons if corresponding angles are congruent and corresponding side lengths are proportional. The scale or scale factor is the ratio that describes how the dimensions of the two figures are related.
List all pairs of congruent angles. Check that the ratios of corresponding side lengths are equal. What is the scale factor?
Angle-Angle Similarity Postulate (AA) If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
Side-Side-Side Similarity Theorem If the corresponding side lengths of two triangles are proportional, then the triangles are similar.
Side-Angle-Side Similarity Theorem If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.