Similarity and Trigonometry Basics - Exam Prep Problem Set

Similarity and Trigonometry Basics - Problem Set

Q. If triangle DEF is similar to triangle XYZ and the length of DE is 4 cm and XY is 8 cm, what is the ratio of DE to XY?

Solution

The ratio of DE to XY is 4:8, which simplifies to 1:2.

Correct Answer: A — 1:2

Q. If two angles of a triangle are 50 degrees and 70 degrees, what is the type of triangle based on its angles?

Solution

Since all angles are less than 90 degrees, the triangle is acute.

Correct Answer: A — Acute

Q. What is the ratio of the areas of two similar triangles if the ratio of their corresponding sides is 3:5?

Solution

The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. (3/5)^2 = 9/25.

Correct Answer: B — 9:25

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