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SIMILAR AND CONGRUENT
CONGRUENT FIGURES In order to be congruent, two figures must be the same size and same shape. ~ =
WHAT ARE SIMILAR POLYGONS? Two polygons are similar if corresponding (matching) angles are congruent and the lengths of corresponding sides are proportional.
SIMILAR FIGURES Similar figures must be the same shape, but their sizes may be different. They have to be what we call proportional.
ANGLES AND SIDES IN SIMILAR POLYGONS Angles ∠A ≅ ∠ E ∠B ≅ ∠ F ∠C ≅ ∠ G Δ ABC ~ Δ EFG A BC E F G Sides AB ~ EF AC ~ EG BC ~ FG
PROPORTIONAL? In order for a figure to be considered proportional the figures have their sides have to create the same reduced fraction. 12 in. 20 in. 4 in. 5 in.
SIMILAR? CONGRUENT? NEITHER?
7 42 5 40
SIMILAR? CONGRUENT? NEITHER? 72 9 14 112
YOU CAN FIND THE MISSING LENGTH OF A SIDE IN A PAIR OF SIMILAR FIGURES, BY USING PROPORTIONS 6 7 ΔRST ~ ΔUVW R S T U V W x ft. 6 ft. 35 ft. 7 ft. 35 = x x = 30 feet
SOLVE FOR X. x 30 12 in. x in. 40 in. 30 in.. 40 = 12 x = 9 inches
SOLVE FOR X. ROUND TO THE NEAREST TENTH. 4 x 12 in. 4 in. 20 in. x in.. 20 = 12 x = 6.7 inches
SOLVE FOR X. 7 25 14 m. 7 m. x 25 m. x = 14 x = 50 meters
SOLVE FOR X. ROUND TO THE NEAREST TENTH. 15 x 17 in. x 35 in. 15 in. 17 = 35 x = 7.3 inches
DETERMINE THE MISSING SIDES OF THE TRIANGLE 39 in 24 in 33 in ? in 8 in ? in
SIMILAR FIGURES PRACTICE
12 3 28 X
15 6 24 y
14 2 1b
48 6 9 t
126 14 12 G
84 12 8 D
By: THE “A” SQUAD (Annie and Andrew)
Concept: Use Similar Polygons
Similarity & Congruency Dr. Marinas Similarity Has same shape All corresponding pairs of angles are congruent Corresponding pairs of sides are in proportion.
Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.
Congruent and Similar. Similar and Congruent Figures Congruent polygons have all sides congruent and all angles congruent. Similar polygons have the same.
Introduction Recognizing and using congruent and similar shapes can make calculations and design work easier. For instance, in the design at the corner,
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56.) Congruent Figures—figures that have the same size and shape 57.) Similar Figures—figures that have the same exact shape but different size (angles.
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Quarter 3 Exam Review Chapter 6, #1 Tell whether the figure is regular/irregular and concave/convex.
CONGRUENT AND SIMILAR FIGURES
Using the quadratic formula, please solve the following equations:
Similar Polygons What is a polygon? A plane figure that has three or more sides and each side intersects exactly two other sides. Examples: square,
Aim: How can we review similar triangle proofs? HW: Worksheet Do Now: Solve the following problem: The length of the sides of a triangle are 9, 15, and.
Similar Triangles Today’s objectives l Understand how the definition of similar polygons applies to triangles. l Recognize similar triangles. l Use the.
7.2 Similar polygons Today’s Vocabulary
5.9 Similar Figures.
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Unit 6 Part 1 Using Proportions, Similar Polygons, and Ratios.
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