1 / 13

5-6

Using Similar Figures. 5-6. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 5-6. Using Similar Figures. JN. KO. Course 2. Warm Up. Solve each problem. 24 x. 6 19. k 4. 75 25. x = 76. k = 12. 2. 1. =. =.

kat
Download Presentation

5-6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Using Similar Figures 5-6 Course 2 Warm Up Problem of the Day Lesson Presentation

  2. 5-6 Using Similar Figures JN KO Course 2 Warm Up Solve each problem. 24 x 6 19 k 4 75 25 x = 76 k = 12 2. 1. = = Triangles JNZ and KOA are similar. Identify the side that corresponds to the given side of the similar triangles. 3. A J Z O K N

  3. 5-6 Using Similar Figures Course 2 Problem of the Day Harvey starts to fill a 3-gallon tank from a hose that delivers 1 gallon per minute. However, the tanks leaks 1 quart per minute. In how many minutes will the tank begin to overflow? 4 minutes

  4. 5-6 Using Similar Figures Course 2 Learn to use similar figures to find unknown lengths.

  5. 5-6 Using Similar Figures Course 2 Insert Lesson Title Here Vocabulary indirect measurement

  6. 5-6 Using Similar Figures Course 2 Indirect measurementis a method of using proportions to find an unknown length or distance in similar figures.

  7. 5-6 Using Similar Figures Course 2 Additional Example 1: Finding Unknown Lengths in Similar Figures Find the unknown length in similar figures. AC QS AB QR = Write a proportion using corresponding sides. 14 w 12 48 = Substitute lengths of the sides. 12 · w = 48 · 14 Find the cross product. Multiply. 12w = 672 672 12 12w 12 = Divide each side by 12 to isolate the variable. w = 56 QR is 56 centimeters.

  8. 5-6 Using Similar Figures Course 2 Insert Lesson Title Here Try This: Example 1 Find the unknown length in similar figures. x Q R 10 cm B A 24 cm 12 cm D C T S AC QS AB QR = Write a proportion using corresponding sides. 10 x 12 24 Substitute lengths of the sides. = Find the cross product. 12 · x = 24 · 10 12x = 240 Multiply. 240 12 12x 12 Divide each side by 12 to isolate the variable. = x = 20 QR is 20 centimeters.

  9. 5-6 Using Similar Figures Course 2 Additional Example 2: Measurement Application A volleyball court is a rectangle that is similar in shape to an Olympic-sized swimming pool. Find the length of the pool. Let l = the length of the pool. 9 25 18 l Write a proportion using corresponding side widths. = 9 ·l = 18 · 25 Find the cross products. Multiply. 9l = 450 9l 9 = 450 9 Divide each side by 9 to isolate the variable. l = 50 The pool is 50 meters long.

  10. 5-6 Using Similar Figures Course 2 Insert Lesson Title Here Try This: Example 2 The rectangle on the left is similar in shape to the rectangle on the right. Find the width of the right rectangle. 12 cm 6 cm 3 cm ? Let w = the width of the right rectangle. 6 12 3 w Write a proportion using corresponding side lengths. = 6 ·w = 12 · 3 Find the cross products. Multiply. 6w = 36 36 6 6w 6 = Divide each side by 6 to isolate the variable. w = 6 The right rectangle is 6 cm wide.

  11. 5-6 Using Similar Figures Course 2 Additional Example 3: Using Indirect Measurement City officials want to know the height of a traffic signal. The traffic light casts a shadow that is 45 ft long. A stop sign casts a shadow that is 30 ft long. If the stop sign is 15 ft high, what is the height of the traffic light? Let x = the height of the traffic light. 30 45 15 x = Write a proportion. Find the cross product. 30 · x = 45 · 15 Multiply. 30 x = 675 30x 30 675 30 Divide each side by 30 to isolate the variable. = x = 22.5 The traffic light is 22.5 feet tall.

  12. 5-6 Using Similar Figures Course 2 Insert Lesson Title Here Try This: Example 3 The inside triangle is similar in shape to the outside triangle. Find the length of the base of the inside triangle. Let x = the base of the inside triangle. 8 2 12 x Write a proportion using corresponding side lengths. = 8 · x = 2 · 12 Find the cross products. Multiply. 8x = 24 8x 8 24 8 = Divide each side by 8 to isolate the variable. x = 3 The base of the inside triangle is 3 inches.

  13. 5-6 Using Similar Figures Course 2 Insert Lesson Title Here Lesson Quiz Find the unknown length in each pair of similar figures. J 3. These two rectangular cakes are similar in shape. How long is the larger cake? A 144 cm 96 cm 1. x C 80 cm K 56 cm B 84 cm L 10 in. x = 120 cm x 6 in. 2. 9 in. 160 cm t 120 cm 72 cm 90 cm x = 15 inches t = 150 cm

More Related