Question

9 polygon pqrs is a scaled copy of polygon abcd. name the segment in the scaled copy that corresponds to segment ad.
a) sr
b) rq
c) qp
d) ps
10 micah has a garden. he constructs a scale model of the garden using the scale 1 inch : 2 feet. the actual length of 6 feet. what is the length of the garden in micah’s model?
a) 3 inches
b) 4 inches
c) 6 inches
d) 12 inches
11 read all of the statements about scale drawings below. mark all of the statements below that are true.
a) scale drawings are used because they are easier to work with than an actual object, such as a building or piece of furniture.
b) scale drawings have the same size and dimensions as the actual object.
c) scale drawings should have the same proportions as the actual object.
d) scale drawings are half the size of the actual object.

Explanation:

Question 9

In a scaled copy (similar figures), corresponding segments are in the same relative position. Polygon \(PQRS\) is a scaled copy of \(ABCD\). So, the segment corresponding to \(AD\) should be the one with the same relative position, which is \(PS\) (matching the order of vertices \(A - D\) to \(P - S\)).

Step1: Understand the scale

The scale is \(1\) inch : \(2\) feet, meaning \(1\) inch in the model represents \(2\) feet in real life.

Step2: Calculate model length

Let \(x\) be the model length (in inches) for a real length of \(6\) feet. Using the scale ratio \(\frac{\text{Model Length}}{\text{Real Length}}=\frac{1}{2}\), we substitute real length \( = 6\) feet: \(x=\frac{6}{2}=3\) inches.

• Option A: Scale drawings are easier to handle than large actual objects (e.g., buildings), so this is true.
• Option B: Scale drawings are scaled (smaller or larger), not same size as actual object, so false.
• Option C: Scale drawings must have same proportions (similar figures) as actual object, so true.
• Option D: Scale drawings can be any scale (not just half), so false.

Answer:

D. \(PS\)

Question 10