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.