It looks like you've uploaded a worksheet titled
"Scale Factor - Finding Sides" that involves determining missing side lengths in similar shapes using scale factors. Since I can't view images directly, I’ll guide you through how to solve these types of problems and explain the concepts involved.
However, if you can describe the specific problems on the worksheet (e.g., shapes, given dimensions, scale factors), I can help you solve them step by step.
In the meantime, here’s a general explanation of how to approach
scale factor problems:
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🔍 What is a Scale Factor?
The
scale factor is the ratio of the lengths of corresponding sides of two similar shapes. If two shapes are similar, their corresponding angles are equal, and their sides are proportional.
- If shape A is scaled to create shape B:
-
Scale factor = (side of B) / (side of A)
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📐 Steps to Solve "Finding Sides" Problems:
1.
Identify the scale factor:
- It might be given directly.
- Or you can find it by dividing a known side of the new shape by the corresponding side of the original shape.
2.
Use the scale factor to find missing sides:
- Multiply the original side length by the scale factor to get the new side length.
- Or divide the new side by the scale factor to get the original side.
3.
Label all sides accordingly.
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✔ Example Problem:
Suppose you have two similar triangles:
- Triangle 1 has a side of 4 cm.
- Triangle 2 has a corresponding side of 8 cm.
- Find the scale factor and use it to find another side in Triangle 2 if the corresponding side in Triangle 1 is 5 cm.
Step 1: Scale factor = 8 ÷ 4 =
2
Step 2: New side = 5 × 2 =
10 cm
So, the missing side in Triangle 2 is
10 cm.
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🔁 Common Types of Problems on This Worksheet:
1.
Triangle → Triangle
2.
Rectangle → Rectangle
3.
Irregular shapes (like stars or arrows)
4.
Finding unknown sides using given scale factors
5.
Finding scale factor from given sides
For each problem, follow the same logic:
>
New side = Original side × Scale factor
Or:
>
Original side = New side ÷ Scale factor
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🧠 Tips:
- Always check which shape is the
original and which is the
scaled version.
- The scale factor can be
greater than 1 (enlargement) or
less than 1 (reduction).
- Use proportions:
$$
\frac{\text{Side A}}{\text{Side B}} = \frac{\text{Side C}}{\text{Side D}}
$$
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If you can tell me what the problems are (e.g., “Problem 1: Two triangles, one with side 6, other with side 9, find scale factor”), I can walk you through each one!
Alternatively, you can copy and paste the text of the worksheet here, and I’ll solve it for you.
Parent Tip: Review the logic above to help your child master the concept of scale factor practice worksheet.
