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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Similar Triangles

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Exercise 46 Page 569

Start by identifying the corresponding vertices on the graph.

Angles: ∠ J ≅ ∠ C, ∠ K ≅ ∠ D, ∠ L ≅ ∠ E
Sides: JK/CD = KL/DE = LJ/EC

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 △ JKL ~ △ CDE.

We can identify the pairs of congruent angles by matching them using the order they appear in the similarity statement. ccccc J & K & L ↓ & ↓ & ↓ C & D & E 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
∠ J ≅ ∠ C ∠ K ≅ ∠ D ∠ L ≅ ∠ E	JK/CD = KL/DE = LJ/EC

Subchapter links

Exercises p.565-569