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Unit 1 Lesson 4 Cumulative Practice Problems
1. Select all the statements that must be true for any scaled copy of Polygon P.
35
125
P
The side lengths are alwliole numbers
B. The angle mesures are al whole numbers.
0. If the scale laclar belimei PandQ is then each side length of Pis multiplied
by to get the corresponding side length of
Ef the scale lactaris 2. each anglens multiplied by 2 to get the corresponding
Eg has 2 aute angle and abuse angles

Unit 1 Lesson 4 Cumulative Practice Problems 1 Select all the statements that must be true for any scaled copy of Polygon P 35 125 P The side lengths are alwlio class=

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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 = [tex]\frac{\text{Dimensions of Q}}{\text{Dimensions of P}}[/tex]

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 [tex]\frac{1}{2}[/tex], 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 = [tex]\frac{\text{Side length of Q}}{\text{Side length of P}}[/tex] = [tex]\frac{1}{5}[/tex]

Side length of Q = [tex]\frac{1}{5}[/tex] × (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.

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