Grade 12 Math: Similar Figures Worksheet
This worksheet focuses on similar figures, including triangles and polygons, covering concepts like scale factor, corresponding angles, and side ratios, suitable for Grade 12 mathematics.
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Similar Figures: Grade 12 Math
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Two triangles are similar if:
Their corresponding sides are congruent.
Their corresponding angles are congruent.
Their areas are equal.
They have the same perimeter.
2. If triangle ABC is similar to triangle DEF, and AB = 6, BC = 8, AC = 10, and DE = 9, what is the length of EF?
10
12
15
18
3. Triangle ABC has vertices A(0,0), B(4,0), and C(2,6). Triangle DEF has vertices D(0,0), E(6,0), and F(3,9). Are the two triangles similar? Justify your answer using coordinate geometry.
4. A rectangular photograph has dimensions 10 cm by 15 cm. If it is enlarged to have a width of 25 cm, what will be its new length to maintain similarity?
5. The ratio of the areas of two similar figures is equal to the square of the .
6. If two polygons are similar, their corresponding angles are and their corresponding sides are .
7. All squares are similar.
True
False
8. All rhombuses are similar.
True
False
Match the similarity postulate/theorem with its description.
9. AA Similarity
a. Two pairs of corresponding sides are proportional, and the included angles are congruent.
10. SAS Similarity
b. All three pairs of corresponding sides are proportional.
11. SSS Similarity
c. Two pairs of corresponding angles are congruent.
12. A tree casts a shadow 20 feet long. At the same time, a 5-foot tall person casts a shadow 8 feet long. How tall is the tree?
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