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Problem of the day 1.) Graph triangle XYZ: X (0, 4), Y (3, 0), and Z (3, 4) 2) Reflect XYZ over the x-axis 3) Translate X’Y’Z’ right 4, down 2 4) What.

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Presentation on theme: "Problem of the day 1.) Graph triangle XYZ: X (0, 4), Y (3, 0), and Z (3, 4) 2) Reflect XYZ over the x-axis 3) Translate X’Y’Z’ right 4, down 2 4) What."— Presentation transcript:

1 Problem of the day 1.) Graph triangle XYZ: X (0, 4), Y (3, 0), and Z (3, 4) 2) Reflect XYZ over the x-axis 3) Translate X’Y’Z’ right 4, down 2 4) What are the coordinates of X”Y”Z”?

2 15. J ′(0, −3), K ′(0, −5), L′(−4, −3) 25. Rotate 180° about the origin and then rotate 90° clockwise about vertex (− 1, 0) 16. P′(−1, −2), Q′(−3, −2), R′(−2, 1), S′(0, 1) 24. Rotate 90° counterclockwise about the origin and then translate 1 unit left and 1 unit down. Rotate 90° counterclockwise about the origin and then translate 5 units left Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up. 26. a. A′(6, 2), B ′(3, 2), C ′(1, 4), D′(6, 4) b. Reflect the trapezoid in the x-axis and then in the y-axis, or reflect the trapezoid in the y-axis and then in the x-axis. 7. 8. rotate 90° clockwise about vertex (− 1, 1), translate 1 unit right and 1 unit down rotate 270° counterclockwise about vertex (− 1, 1), translate 1 unit down and 1 unit right rotate 180° clockwise about the origin, translate 1 unit right and 1 unit down translate 1 unit left and 1 unit up, reflect in x-axis, reflect in y-axis

3 Hey! You look pretty similar to me!
I’m smaller, but have the same proportions! Two figures are similar when: Corresponding angles are congruent Corresponding sides are in proportion

4 Example 1

5 Example 2

6 Example 3

7 Exit Ticket Draw quadrilateral ABCD:
Now draw quadrilateral QRST: Q(5, 0), R(5, -10), S(10, -10), T(10, -2) Are these shapes proportional? Why or why not? Prove it using mathematics.


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