Similar Figures Worksheet
Grade 10 math worksheet focusing on identifying and solving problems involving similar figures, including triangles and quadrilaterals.
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Similar Figures Practice
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. Which of the following statements is true about similar figures?
Their corresponding sides are congruent.
Their corresponding angles are congruent.
They have the same area.
They have the same perimeter.
2. If two triangles are similar, and the ratio of their corresponding sides is 2:3, what is the ratio of their areas?
2:3
4:9
8:27
1:1
3. If two polygons are similar, their corresponding angles are and their corresponding sides are .
4. The ratio of the perimeters of two similar figures is equal to the of their corresponding sides.
5. Consider two similar triangles, \(\triangle ABC\) and \(\triangle DEF\). If AB = 6 cm, DE = 9 cm, and the perimeter of \(\triangle ABC\) is 18 cm, what is the perimeter of \(\triangle DEF\)?
6. The rectangles below are similar. Find the value of x.
7. Given \(\triangle PQR \sim \triangle XYZ\). If \(PQ = 5\), \(QR = 7\), \(RP = 8\) and \(XY = 10\), find the lengths of YZ and ZX.
8. All squares are similar to each other.
True
False
9. All rectangles are similar to each other.
True
False