Unlocking the Secrets of Similar Polygons: Shape, Size, and Proportions!

• Angles: Every corresponding angle in one polygon must be congruent to its counterpart in the other polygon.
• Sides: The lengths of corresponding sides of the polygons must be in the same ratio.

Examples

Practice Questions:

1. Quadrilaterals \(MNPQ\) and \(RSTU\) have sides measuring \(2 \text{ cm}\), \(3 \text{ cm}\), \(4 \text{ cm}\), \(6 \text{ cm}\) and \(4 \text{ cm}\), \(6 \text{ cm}\), \(8 \text{ cm}\), \(12 \text{ cm}\) respectively. Are they similar?
2. Two triangles \(GHI\) and \(JKL\) have angles measuring \(45^\circ\), \(45^\circ\), and \(90^\circ\) for both. If \(GH = 7 \text{ cm}\), \(HI = 10 \text{ cm}\) and \(JK = 14 \text{ cm}\), \(KL = 20 \text{ cm}\), are they similar?

1. Yes, they are similar.
2. Yes, they are similar.