Similar Polygons Worksheet - Grade 12 Geometry
This worksheet focuses on understanding and applying the properties of similar polygons, including scale factor, corresponding angles, and proportional side lengths, suitable for Grade 12 geometry students.
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Similar Polygons Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following statements is true about similar polygons?
Corresponding sides are congruent.
Corresponding angles are congruent.
The ratio of corresponding sides is 1:1.
The areas are equal.
2. If two polygons are similar with a scale factor of 3:1, what is the ratio of their perimeters?
1:3
3:1
9:1
1:9
3. In similar polygons, the ratio of corresponding side lengths is called the .
4. If two polygons are similar, their corresponding angles are .
5. Consider two similar rectangles. The first rectangle has sides of length 4 cm and 6 cm. The second rectangle has a side of length 12 cm corresponding to the 4 cm side of the first rectangle. What is the length of the other side of the second rectangle?
6. The two triangles below are similar. Find the value of x.
7. All squares are similar to each other.
True
False