FiveMinute Check over Lesson 4 6 Main Idea

Five-Minute Check (over Lesson 4– 6) Main Idea and Vocabulary Key Concept: Similar Polygons Example 1: Identify Similar Polygons Example 2: Find Missing Measures Key Concept: Ratios of Similar Figures Example 3: Test Example

• Identify similar polygons and find missing measures of similar polygons. • polygon • similar • corresponding parts • congruent • scale factor

Brain. Pop: Similar Triangles

Identify Similar Polygons Determine whether triangle DEF is similar to triangle HJK. Explain your reasoning.

Identify Similar Polygons Next, check to see if corresponding sides are proportional. Answer:

Determine whether triangle ACB is similar to triangle TRI. A. yes B. no 1. 2. A B

Finding Missing Measures Given that rectangle LMNO ~ rectangle GHIJ, find m. Method 1 Write a proportion. The missing measure m is the length of NO. Write a proportion involving NO that relates corresponding sides of the two rectangles.

Finding Missing Measures rectangle GHIJ rectangle LMNO GJ = 2, LO = 3, IJ = 4, and NO = m Find the cross products. Multiply. Divide each side by 2.

Finding Missing Measures Method 2 Use the scale factor to write an equation. Find the scale factor from rectangle GHIJ to rectangle LMNO by finding the ratio of corresponding sides with known lengths. The scale factor is the constant of proportionality.

Finding Missing Measures Words Variable Equation

Finding Missing Measures Write the equation. Multiply each side by Simplify. Answer: The measure is 6.

Given that rectangle ABCD ~ rectangle WXYZ, find m. A. 12 B. 15 C. 16 D. 18 1. 2. 3. 4. A B C D

A polygon has sides 2. 5 times as long as a similar polygon. The smaller polygon has a perimeter of 42 inches. What is the perimeter of the larger polygon? A 16. 8 in. B 45 in. C 84 in. D 105 in. Read the Item Since each side of the larger polygon is 2. 5 times as long as the corresponding sides of the smaller polygon, the scale factor from the smaller polygon to the larger polygon is

Solve the Item Let x represent the perimeter of the larger polygon. The ratio of the perimeters is equal to the ratio of the sides. larger perimeter smaller perimeter Scale factor relating sides Find the cross products. Multiply. Then divide each side by 2. Simplify. Answer: D

A polygon has sides 3. 5 times as long as a similar polygon. The larger polygon has a perimeter of 77 inches. What is the perimeter of the smaller polygon? A. 22 in. B. 34 in. C. 72 in. D. 269. 5 in. 1. 2. 3. 4. A B C D

End of the Lesson

Five-Minute Check (over Lesson 4– 6) Image Bank Math Tools Solving Proportions Dilations Similar Triangles

(over Lesson 4 -6) Use the draw a diagram strategy. Daniel wants to display three different pictures in a row on his bedroom wall. How many different ways can he arrange three pictures? A. 3 ways B. 12 ways C. 6 ways D. 9 ways 1. 2. 3. 4. A B C D

(over Lesson 4 -6) Use the draw a diagram strategy. The music teacher is arranging students on risers for the spring concert. If she places 6 people in the first row and each additional row has 3 more students in it, how many students will be in the fifth row? A. 18 students B. 36 students C. 54 students D. 60 students 1. 2. 3. 4. A B C D

(over Lesson 4 -6) Jeanine is filling her wading pool with water. After 3 minutes and 15 seconds, the pool is only full. If the pool can hold 350 gallons of water, how much longer will it take to fill the pool? A. 13 minutes B. 9 minutes 45 seconds C. 6 minutes 30 seconds D. 3 minutes 15 seconds 1. 2. 3. 4. A B C D