Question

The given parallelogram is dilated with a scale factor of less than 1, centered around the origin. Which of the following statement is true regarding the above statement?

• A. The length of the orange line may be 6 yd
• B. The length of the black line may be 5 yd
• C. $\angle P={53}^{\circ }$
• D. All the above

Answer 1

The correct option is D All the above


Here, the orange line is 12 yard.

Given scale factor is less than 1.

So, the length of the corresponding side of the orange line would be less than 12 yd.

Similarly, the length of the corresponding side of the black line would be less than 10 yd.

$\angle P={53}^{\circ }$

The corresponding angle of the dilated figure will also be the same, i.e., ${53}^{\circ }$.

So, all the options given above are correct.