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Lesson Menu Five-Minute Check (over Lesson 9–6) Main Idea and Vocabulary Example 1:Identify Similar and Congruent Figures Example 2:Identify Similar and Congruent Figures Example 3:Identify Corresponding Sides Example 4:Identify Similar Figures
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Main Idea/Vocabulary similar figures congruent figures corresponding sides Identify similar and congruent figures.
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Example 1 Identify Similar and Congruent Figures Tell whether the pair of figures is similar, congruent, or neither. The figures have the same shape but not the same size. Answer: They are similar.
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1.A 2.B 3.C Example 1 A.similar B.congruent C.neither Tell whether the pair of figures is similar, congruent, or neither.
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Example 2 Identify Similar and Congruent Figures Tell whether the pair of figures is similar, congruent, or neither. Answer: The figures are neither similar nor congruent. The figures have neither the same shape nor the same size.
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1.A 2.B 3.C Example 2 A.similar B.congruent C.neither Tell whether the pair of figures is similar, congruent, or neither.
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Example 3 Identify Corresponding Sides SKATEBOARDING RAMPS The two ramps shown are congruent. What side of triangle QRS corresponds to AC? Corresponding sides represent the same side of similar figures. Answer: So, QS corresponds to AC.
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1.A 2.B 3.C 4.D Example 3 FLOOR TILES The two floor tiles shown are congruent. What side of rectangle ABCD corresponds to FG? A.AB B.BC C.CD D.DA
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Example 4 Which rectangle below is similar to rectangle EFGH? Identify Similar Figures
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Example 4 Examine the ratios of corresponding sides to see if they have a constant ratio. Answer: So, rectangle WXYZ is similar to rectangle EFGH. Identify Similar Figures Rectangle ABCDRectangle MNOPRectangle WXYZ
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1.A 2.B 3.C 4.D Example 4 Which triangle below is similar to triangle ABC? A.B. C.D.
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End of the Lesson
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Resources Five-Minute Check (over Lesson 9–6) Image Bank Math Tools Estimating Angles Angles in Triangles
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1.A 2.B 3.C 4.D Five Minute Check 1 A.6 ways B.8 ways C.9 ways D.10 ways. Use the draw a diagram strategy to solve. DRIVING The downtown section of a city is rectangular, 5 blocks by 3 blocks. How many ways are there to drive from one corner of downtown to the opposite corner, if you must make exactly two turns? (over Lesson 9-6)
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1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 9-6) A.10 streamers B.12 streamers C.15 streamers D.20 streamers Use the draw a diagram strategy to solve. DECORATIONS A gazebo is in the shape of a hexagon, a six-sided figure. For a party, streamers are hung from each of the six top corners of the gazebo to every other top corner. How many streamers are there in all?
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1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 9-6) A.4 B. 5 C.6 D. 7 A new school building is being designed in which each classroom will have one wall of windows. The windows will be along a wall that is 55 feet long. The windows are each 4 feet long, and will be placed 3 feet apart and 8 feet from the end of the wall. How many windows will be in each classroom?
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