Exploring the World of Geometry: The Intricacies of Similarity
Their corresponding angles are congruent. Their corresponding sides are proportional. Examples Two triangles \(EFG\) and \(LMN\) have sides in the ratio \(3:4\). If \(\angle E = \angle L\) and \(\angle F = \angle M\), are the two triangles similar? Squares \(UVWX\) and \(QRST\) have side lengths in the ratio \(5:7\). Are the two squares similar? […]
How to Understand Dilations: A Step-by-Step Guide
A dilation resizes a figure by a scale factor from a center point. Angles stay the same and lengths all change by that factor, which is what makes the image similar to the original rather than congruent. Examples Practice Questions: Dilate the point (C(3, 2)) about the origin using a scale factor of (3). Dilate […]
