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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

2. Similar Polygons

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Exercise 1 Page 554

Start by identifying the congruent angles between the figures.

Angles: ∠ A ≅ ∠ Z, ∠ B ≅ ∠ X, ∠ C ≅ ∠ Y
Sides: AB/ZX = BC/XY = AC/ZY

Practice makes perfect

Two polygons are similar if their corresponding angles are congruent and if the lengths of the corresponding sides are proportional. We are given that △ ABC ~ △ ZXY.

We can identify the pairs of congruent angles by matching them using the order they appear in the similarity statement. ccccc A & B & C ↓ & ↓ & ↓ Z & X & Y The extended proportion that relates the corresponding sides for the similar polygons is created by writing a series of ratios for the corresponding side lengths. Let's list the pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Angles	Sides
∠ A ≅ ∠ Z ∠ B ≅ ∠ X ∠ C ≅ ∠ Y	AB/ZX = B C/X Y = A C/Z Y

Subchapter links

Exercises p.554-559