Question

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

Polygon ABCD is plotted on a coordinate plane and then rotated 90° clockwise about point C to form polygon A′B′C′D′. Match each vertex of polygon A′B′C′D′ to its coordinates.




(5, 6)

A′

(4, 2)

B′

(8, 5)

C′

(4, 5)

D′

(5, 1)

(8, 2)

(4, 8)

Answer 1

A′ (8'2)

B′ (5'1)

C′ (4'2)

D′ (4'5)

Answer 2

A' - (8,2)

B' - (5,1)

C' - (4,2)

D' - (4,5)

Explanation:

The vertices of the polygon ABCD have coordinates A(4,6), B(5,3), C(4,2) and D(1,2).

Polygon ABCD is rotated 90° clockwise about point C to form polygon A′B′C′D′ (see attached diagram), then

• A'(8,2);
• B'(5,1);
• C' is the same as C, thus, C'(4,2);
• D'(4,5).