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A B C D. (over Lesson 10-6). Classify the quadrilateral using the name that best describes it. Determine and explain whether the statement is sometimes , always , or never true. A square is a parallelogram.
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A B C D (over Lesson 10-6) Classify the quadrilateral using the name that best describes it. Determine and explain whether the statement is sometimes, always, or never true. A square is a parallelogram. Determine and explain whether the statement is sometimes, always, or never true. A rhombus is a square. Which of the following is not a parallelogram? A. Sqaure B. rectangle C. Trapezoid D. rhombus Five Minute Check 1
Five-Minute Check (over Lesson 10–6) Main Idea and Vocabulary Key Concept: Similar Figures Example 1: Identify Similar Figures Example 2: Find Side Measures of Similar Triangles Example 3: Real-World Example Lesson Menu
Determine whether figures are similar and find a missing length in a pair of similar figures. • Corresponding Angles: The angles of similar figures that “match”. • Corresponding Sides: The sides of similar figures that “match”. • Indirect Measurement: Uses similar figures to find the length, width, or height of objects that are too difficult to measure directly. • Similar Figures: Figures that have the same shape but not necessarily the same size. Main Idea/Vocabulary
Identify Similar Figures Which rectangle is similar to rectangle FGHI? Example 1
Identify Similar Figures Find the ratios of the corresponding sides to see if they form a constant ratio. Answer: So, rectangle ABCD is similar to rectangle FGHI. Example 1
A B C A.B. C. Which rectangle is similar to rectangle WXYZ? 20 Example 1
If ΔABC ~ ΔDEF, find the length of . Find Side Measures of Similar Triangles Example 2
Since the two triangles are similar, the ratios of their corresponding sides are equal. So, you can write and solve a proportion to find . Answer: Find Side Measures of Similar Triangles Example 2
A B C D If ΔJKL ~ ΔMNO, find the length of . A. 9 in. B. 11.5 in. C. 13.5 in. D. 15 in. Example 2
ARCHITECTUREA rectangular picture window 12 feet long and 6 feet wide needs to be shortened to 9 feet in length to fit a redesigned wall. If the architect wants the new window to be similar to the old window, how wide will the new window be? Example 3
Answer: So, the width of the new window will be 4.5 feet. Example 3
A B C D Tom has a rectangular garden which has a length of 12 feet and a width of 8 feet. He wishes to start a second garden which is similar to the first and will have a width of 6 feet. Find the length of the new garden. A. 4 ft B. 6 ft C. 9 ft D. 10 ft Example 3
Today’s Homework Page 543: 2-16 EVENS SHOW ALL YOUR WORK!!!! Main Idea/Vocabulary
End of the Lesson End of the Lesson