Geometry CIA 2 Review #1 (Unit 3A)

State the coordinates of the vertices of each figure after the given transformation: 1. Translation: (x, y) → (x + 2, y + 2) J’ (______,______) if J was at (2,-8).

• (8,7)

• (4,-6)

• (-6,4)

• (-4,6)

State the coordinates of the vertices of each figure after the given transformation: 2. Translation: (x, y) → (x – 5, y) Y (5, 2) → Y’ (______,______)

• Y' (0, 2)

• Y' (5, 7)

• Y' (10, 2)

• Y' (0, 0)

State the coordinates of the vertices of each figure after the given transformation: 2. Translation: (x, y) → (x – 5, y) X (2, -3) → X’ (______,______)

• (-3, -3)

• (7, -3)

• (2, -2)

• (7, -2)

State the coordinates of the vertices of each figure after the given transformation: 2. Translation: (x, y) → (x – 5, y) U (0, 2) → U’ (______,______)

• (-5, 2)

• (5, 2)

• (0, -3)

• (0, 7)

3. How many degrees was the preimage rotated to produce the image if (x,y)-> (-x,-y)?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Translation 1 maps X to X’, Translation 2 maps X’ to X’’. Which translation below maps X to X’’? 4. Translation 1: (x, y) → (x + 3, y – 2) Translation 2: (x, y) → (x – 1, y – 4)

• (x,y) → (x + 3, y – 2)

• (x,y) → (x + 2, y + 2)

• (x,y) → (x + 2, y – 6)

• (x,y) → (x - 6, y + 2)

5. Translation 1: (x, y) → (x - 3, y - 6) Translation 2: (x, y) → (x – 1, y + 3) What is the total translation?

• (x,y) → (x + 3, y – 2)

• (x,y) → (x - 3, y + 4)

• (x,y) → (x - 2, y – 3)

• (x,y) → (x - 4, y - 3)

If Y’ (-3,0) G’ (0,-2) M’ (-3,-4) is translated according to the rule (x, y) → (x -5, y + 1). What were the original coordinates of YGM?

• Y (2, -1) G (5, -3) M (2, -5)

• Y (-1, 2) G (5, -3) M (-5, 2)

• Y (-1, 2) G (3, -5) M (-5, 2)

• Y (6, 3) G (2, 1) M (6, 2)

A translation 3 units to the left and 1 unit up: (x, y) → (____ , _____).

• (x - 3, y + 1)

• (x + 3, y - 1)

• (x + 3, y + 1)

• (x - 3, y - 1)

The triangle below needs to be rotated about the origin 90 degree clockwise. After the rotation, the coordinates of S’ will be (2,-2). Is that true?

• No, the coordinates of S’ will be (2, 2).

• No, the coordinates of B’ will be (-2, -2).

• Yes, the coordinates of S’ were correct.

• No the coordinates of B’ will be (-1, 3).