Question

Unit 1 Lesson 4 Cumulative Practice Problems

Answer 1

Answer:

Options (B), (C), (D) and (F) will be the correct options.

Step-by-step explanation:

If an image Q is a scaled image of P, it will follow the following characteristics.

1). Ratio of corresponding sides of P and Q will be same.

   Scale factor = $\frac{\text{Dimensions of Q}}{\text{Dimensions of P}}$

2). All angles of P will be equal to the angles of image Q. Both the figures will be similar.

Option (A).

Sides lengths all are whole numbers.

If a side of P is 1 inch and this side is reduced by a scale factor of $\frac{1}{2}$, then the length of image Q will be 0.5 which is not a whole number.

False.

Option (B)

Angle measures are all whole numbers.

Since all measures of angles of P are whole numbers. (Property 2)

True.

Option (C)

Since, P has a right angle and all angles of P are equal to Q, image Q will have a right angle.

True.

Option (D).

Scale factor = $\frac{\text{Side length of Q}}{\text{Side length of P}}$ = $\frac{1}{5}$

Side length of Q = $\frac{1}{5}$ × (Side length of P)

True.

Option (E)

False. (Property 2)

Option (F)

Since P has 2 acute, 3 obtuse angles and 1 right angle, Q will have the same angles.

True.

Therefore, Options (B), (C), (D) and (F) will be the correct options.