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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 48 Page 569

Start by identifying the corresponding vertices on the graph.

Angles: ∠ F ≅ ∠ M, ∠ G ≅ ∠ P, ∠ H ≅ ∠ Q, ∠ J ≅ ∠ S
Sides: FG/MP = GH/PQ = HJ/QS = JF/SM

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 FGHJ ~ MPQS.

We can identify the pairs of congruent angles by matching them using the order they appear in the similarity statement. ccccc F & G & H & J ↓ & ↓ & ↓ & ↓ M & P & Q & S 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
∠ F ≅ ∠ M ∠ G ≅ ∠ P ∠ H ≅ ∠ Q ∠ J ≅ ∠ S	FG/MP = G H/P Q = HJ/QS = JF/SM

Subchapter links

Exercises p.565-569