Basic Geometric Concepts - Coordinate Geometry for Exams

Basic Geometric Concepts - Coordinate Geometry Applications - Problem Set

Q. What is the area of a triangle with a base of 8 and a height of 5?

Solution

Area = 0.5 * base * height = 0.5 * 8 * 5 = 20.

Correct Answer: A — 20

Q. What is the length of the diagonal of a rectangle with sides of length 6 and 8?

Solution

Using the Pythagorean theorem: d = √(length² + width²) = √(6² + 8²) = √(36 + 64) = √100 = 10.

Correct Answer: A — 10

Q. What is the perimeter of a rectangle with length 10 and width 5?

Solution

Perimeter (P) = 2(length + width) = 2(10 + 5) = 2 * 15 = 30.

Correct Answer: A — 30

Q. Which of the following triangles is similar to triangle ABC with angles 30°, 60°, and 90°?

Solution

Triangles are similar if they have the same angles. Triangle ABC has angles 30°, 60°, and 90°, so it is similar to any triangle with the same angles.

Correct Answer: A — 30°, 60°, 90°

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