SS Target Practice. Name: Class: Date: Short Answer. 1. TARGET 1: I understand what mathematically similar means.

Transcription

1 Class: Date: SS Target Practice Short Answer 1. TARGET 1: I understand what mathematically similar means. If two figures are similar which of the following might be DIFFERENT. Explain number of sides size of angles lengths of corresponding sides shape ratio of corresponding sides perimeter area Explain what CONGRUENT means. 1

2 2. TARGET 2: I can identify corresponding parts of similar figures. Figure VWXYZ is an enlargement of figure ABCDE. Name all the pairs of corresponding sides and all the pairs of corresponding angles of the two figures. Angle A B C D E Side AB BC CD DE EA corresponds to corresponds to Angle Side 2

3 3. TARGET 3: I can determine if two shapes are similar by comparing their corresponding parts. Which of the following rectangles are similar to a 2 by 5 rectangle? SHOW WORK! 3

4 4. TARGET 4: I can determine the scale factor between similar figures: For each of the following figures, find TWO scale factors. One that ENLARGES and one the SHRINKS. CIRCLE the one you d use to find x. The first one is done for you as an example. 4

5 5. TARGET 5: I can use ratios to compare corresponding side lengths of similar figures. a. The ratio of two adjacent side lengths of a rectangle is 2. Which of these could be the ratio of two 3 adjacent side lengths of a similar rectangle? b. Which of the following rectangles is similar to a 10 by 15 rectangle? SOLVE by comparing the ratio of the SHORT SIDE to the LONG SIDE to 10:15. 5

6 6. TARGET 6: I can use scale factors and/or ratios to find missing parts of similar figures. The three rectangles below are similar. Find the missing measurements. SHOW WORK! a = b = 6

7 7. TARGET 7: I can use mathematical tools to construct similar figures. Using a rule and a protractor, draw a shape that is similar to both A and B. What scale factor did you use? 8. TARGET 8: I can use coordinate rules to enlarge, shrink or move a graphed figure. For Parts (a)-(c), explain what would happen to a figure if you transformed it using the given rule. a. (3x, 6y) b. (x + 2, y + 1) c. (2x, 2y + 5) Megan wanted to make a new video game character. a. Write a rule that would transform Mug (x, y) into Slug who is very wide and not very tall. b. Megan wanted Slug to move up (but not over) on the grid. What rule could do this for her? c. Is Slug similar to Mug? Why or why not?. 7

8 9. TARGET 9: I can predict how enlarging or shrinking a figure will affect lengths, angle measures, perimeters and area of figures. A rectangle has dimensions of 2 and 7. Another rectangle was drawn from it using a scale factor of 150%. a. Convert 150% to a scale factor. b. Explain how you d convert any percent to a scale factor. c. What are the dimensions of the enlarged rectangle? d. Explain how you d find the above answer for any scale factor. e. The perimeter of the large rectangle is how many times the perimeter of the small rectangle? f. Explain how you d find the above answer for any scale factor. g. The area of the large rectangle is how many times the area of the small rectangle? h. Explain how you d find the above answer for any scale factor. i. What is always true about the corresponding angles of similar figures? j. Find the ratio of the short side of the original to the short side of the enlargement. Now find the ratio of the long side of the original to the long side of the enlargement. k. What is always trud about ratios of corresponding parts of similar figures? 8

9 10. TARGET 10: I can use methods like the mirror or shadow method to find lengths and heights that would be difficult to measure directly. David is using the shadow method to estimate the heights of a tree in his schoolyard. Make a diagram showing the tree, the meterstick and the shadow, then determine the missing information. SHOW WORK! Height of tree =? Length of shadow of tree = 5 m Height of meterstick = 1m Length of meterstick s shadow =.75m Charlotte is using the mirror method to find the height of her shed. Here are some of the measurements she recorded. Make a diagram and determine the missing information. SHOW WORK! Height from the ground to Charlotte s eyes = 1.4 m Distance from center of mirror to Charlotte = 2 m Distance from center of mirror to shed = 8 m Height of the roof of the shed =? 9