Stage 17 · Similarity & Dilation

17.3.3 Test: Two Sides Proportional with Equal Included Angle

17.3 Tests for Similar Triangles

Point 3 of 6

17.3.3 Test: Two Sides Proportional with Equal Included Angle

Core idea

When two sides open out by the same scale around the same angle, the whole figure is stretched proportionally, the SAS kind of similarity.

Module goal. We introduce what similarity means, the same shape at possibly different sizes, then use the proportionality of parallel lines to derive a few handy tests, the central hub of this whole stage.
eastmath.com · 17.3 Tests for Similar Triangles · 17.3.3 Test: Two Sides Proportional with Equal Included Angle