50+ Scale and Conversions worksheets for 7th Grade on Quizizz ... - Free Printable

Let’s go through each question one by one, step by step.

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Question 1:
> If the scale factor is less than one, the new figure will be...

Think of scale factor like a multiplier for size.
- If you multiply by something less than 1, like 0.5 or 1/2, things get smaller.
- That’s called a reduction.

✔ So the answer is: D — a reduction

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Question 2:
> If the scale factor is greater than one, the new figure will be...

Again, think of multiplying:
- Multiply by 2? Things get bigger → enlargement
- Multiply by 3? Even bigger → still enlargement

✔ So the answer is: B — an enlargement

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Question 3:
> What is the scale factor from ΔDEF to ΔABC?

We are going from DEF to ABC — so we compare sides of ABC to corresponding sides of DEF.

Look at the triangles:

ΔDEF has sides:
DE = 20, EF = 12, DF = 14

ΔABC has sides:
AB = 10, BC = 6, AC = 7

Check ratios (ABC ÷ DEF):

→ AB / DE = 10 / 20 = 1/2
→ BC / EF = 6 / 12 = 1/2
→ AC / DF = 7 / 14 = 1/2

All ratios are 1/2 → that means ABC is half the size of DEF.

So scale factor from DEF to ABC is 1/2

✔ Answer: C — 1/2

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Question 4:
> What is the scale factor from ABCD to MNOP?

We’re going from ABCD to MNOP → so we take side lengths of MNOP and divide by corresponding sides of ABCD.

From diagram:

ABCD:
AB = 9 in, BC = 3 in, CD = 4 in, DA = 5 in

MNOP:
MN = 6 in, NO = 2 in, OP = ? (but let’s use what matches)

Wait — actually, looking carefully:

In ABCD: bottom side AB = 9
In MNOP: bottom side MN = 6

But wait — maybe it's better to match corresponding sides.

Actually, in similar figures, order matters: ABCD → MNOP means A→M, B→N, C→O, D→P

So:

AB corresponds to MN → 9 → 6
BC corresponds to NO → 3 → 2
CD corresponds to OP → 4 → ? (not labeled, but if consistent...)

DA corresponds to PM → 5 → ?

But let’s check ratio using known pairs:

MN / AB = 6 / 9 = 2/3
NO / BC = 2 / 3 = 2/3

Same ratio → so scale factor from ABCD to MNOP is 2/3

✔ Answer: C — 2/3

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Question 5:
> What is the scale factor from MNOP to ABCD?

Now we go from MNOP to ABCD → so we do ABCD ÷ MNOP

Using same sides:

AB / MN = 9 / 6 = 3/2
BC / NO = 3 / 2 = 3/2

So scale factor is 3/2

✔ Answer: D — 3/2

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Question 6:
> The distance between two cities on a map is 4.125 inches. Find the actual distance if the scale on the map is 2 inches = 40 miles.

First, find how many miles per inch.

Scale: 2 inches = 40 miles → so 1 inch = 20 miles

Then, 4.125 inches × 20 miles/inch = ?

Calculate:

4 × 20 = 80
0.125 × 20 = 2.5
Total = 80 + 2.5 = 82.5 miles

✔ Final Answer: 82.5 miles

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Final Answer:
1. D
2. B
3. C
4. C
5. D
6. 82.5 miles