Investigation 2: Practice Quiz 1. Ryan drew a pentagon. Ashley used the rule (3x, 3y) to enlarge Ryan’s drawing and drew the pentagon shown. Ashley’s 2. Simon saw Ashley’s drawing and doubled the lengths to create his own pentagon. On the grid below, sketch Ryan’s original drawing and Simon’s drawing. Ryan’s Simon’s 3. Are Ryan and Simon’s pentagons similar? Explain 4. Write a rule that would create Simon’s pentagon from Ryan’s pentagon. 5. Are the shapes of A and B similar? Explain why or why not. Include information about side lengths, angle measurements, and scale factor. 6. Megan wants to make a new character. Write a rule that would transform Mug (x,y) into Slug, who is wide but not very tall. 7. Megan wanted Slug to move up (but not over) on the grid. What rule can do this for her? 8. Is Slug similar to Mug? Why or why not? Extra Credit: Tell at least 3 things that you have learned during this unit. Investigation 2: Practice Quiz KEY 1. Ryan drew a pentagon. Ashley used the rule (3x, 3y) to enlarge Ryan’s drawing and drew the pentagon shown. It is a good idea to write down the ordered pairs for this figure to help with the questions 2. Simon saw Ashley’s drawing and doubled the lengths to create his own pentagon. On the grid below, sketch Ryan’s original drawing and Simon’s drawing. Remember that Ryans is smaller (it is the original figure), divide and find the new ordered pairs, then graph Remember that Simon’s is larger, multiply and find the new ordered pairs, then graph Ashley’s Ryan’s (x,y) Simon’s (6x, 6y) Yes, the scale factor is 6. To get the new figure, you had to 3. Are Ryan and Simon’s pentagons multiply by 6. Also, the number next to the x and y are the same. similar? Explain 4. Write a rule that would create Since you found in the above question the scale factor Simon’s pentagon from Ryan’s is 6 the new rule is (6x, 6y) pentagon. 5. Are the shapes of A and B similar? Explain why or why not. Include information about side lengths, angle measurements, and scale factor. Yes, they are similar The side lengths are doubled or 2 times larger The angel measures are the same The scale factor is 2 6. Megan wants to make a new character. Write a rule that would transform Mug (x,y) into Slug, who is wide but not very tall. 7. Megan wanted Slug to move up (but not over) on the grid. What rule can do this for her? There can be many different answers for this, but for it to NOT be similar, the x number and the y number must be different. To be wide, the x number should be big Answer: 7x, 2y or 19x, 1y This answer goes with the question above; you should add to your rule. To move up, you are adding to the y, do not change the x Answer: 7x, 2y + 5 or 19x, 1y + 8 8. Is Slug similar to Mug? Why or why No, in the above question, you are not multiplying by the same number. Similar figures will have the same number. not? Extra Credit: Tell at least 3 things that you have learned during this unit. This will be the bonus question, so think about things you have learned and be prepared to share WITH an example and clear explanation.
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