Question

Figure ABCDE is the result of a 180 °rotation of figure LMNOP about the point.

Which angle in the pre-image corresponds to ∠D in the image?

Enter your answer in the box.



∠ __?

Answer 1

Angle O in the pre-image corresponds to angle D in the image.

Explanation:

Step 1; Shape LMNOP is rotated through 180° about point F to create the shape ABCDE. The highest point on LMNOP will be the lowest point on ABCDE and the lowest point on LMNOP will be the highest point on ABCDE. The highest point and the lowest point on LMNOP are P and N respectively. The highest and the lowest point on ABCDE are C and E. So Angle P equals angle E and angle N equals angle C.

Step 2; We measure the sides and assign the corresponding values from the first shape to the second shape.

Angle E = Angle P,

Angle D = Angle O,

Angle C = Angle N,

Angle B = Angle M,

Angle A = Angle L.

So angle D in the shape ABCDE corresponds to angle O in the shape LMNOP.