SIMILARITY, RIGHT TRIANGLES, AND TRIGONOMETRY (G.SRT)
UNDERSTANDING SIMILARITY IN TERMS OF SIMILARITY TRANSFORMATIONS
MCC9‐12.G.SRT.1 Verify experimentally the properties of dilations given by a center and a scale factor:
MCC9‐12.G.SRT.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
- a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
- b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
MCC9‐12.G.SRT.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
mcc9-12.g.srt.1Khan Academy
1. Dilations or scaling around a point |
MCC9-12.G.SRT.2Khan Academy
1. Similarity and Transformations |
MCC9-12.G.SRT.3Khan Academy
1. Triangle Similarity |
PROVING THEOREMS INVOLVING SIMILARITY
MCC9‐12.G.SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
MCC9‐12.G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
MCC9‐12.G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
MCC9-12.G.SRT.4 |
MCC9-12.G.SRT.5 |
DEFINE TRIGONOMETRIC RATIOS AND SOLVE PROBLEMS INVOLVING RIGHT TRIANLGES
MCC9-12.G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
MCC9-12.G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles.
MCC9-12.G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
MCC9-12.G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles.
MCC9-12.G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
MCC9-12.G.SRT.6 |
MCC9-12.G.SRT.7Khan Academy
1. Sine, cosine and tangent trigonometric functions |
MCC9-12.G.SRT.8Khan Academy
1. Pythagorean Theorem |