Coordinates Maps

Determine how to translate triangle A'B'C' to triangle ABC.

• (x+2), (y-5)

• (x+2), (y-9)

• (x-2), (y-9)

• (x-5), (y-2)

What are the Grid coordinates of the Bakery?

• C2

• E5

• E3

• A5

In what grid can you find Cavendish?

• D6

• A3

• B12

• C6

What are the Grid coordinates of the Bank?

• C2

• E1

• E3

• A5

What is the position of GeorgeTown?

• D6

• S11

• C11

• C9

What is the actual distance of the map?

Mathematical Equivalence

ON

Describe a sequence of transformations that maps figure A onto figure B.

• A translation 4 units right followed by a reflection across the x-axis

• A reflection across the x-axis followed by a reflection across the y-axis

• A reflection across the y-axis followed by a translation 6 units down

• A 90° counterclockwise rotation about the Origin followed by a reflection across the y-axis

Answer explanation

One step that would take figure A to figure B is a 180 degree rotation. This is the same as a reflection over the x-axis followed by a reflection across the y-axis.

What axis is the image reflected over?

• X-axis

• Y-axis

Answer explanation

Think of your axis of reflection as a book spine: If you "turn the page" to move your figure from preimage to image, where would the page have been attached?

In this case, the x-axis.

Reflections over the x-axis change the ____-__________.

• y-coordinate

• x-coordinate

Answer explanation

If you compare the points in the visual example, you can see that the x-values are the same but the sign of the y-value was changed.

Therefore, reflecting over the x-axis changes the y-coordinate.

What would be the coordinates of point K if it was reflected over the x-axis?

• (-5, -2)

• (-5, 2)

• (5, -2)

Answer explanation

Think of your axis of reflection as a book spine: If you "turn the page" to transform your figure, with the page attached to the x-axis, where does point K' end up?

(-5,2) on the other side of the x-axis