Instructions
Welcome to your geometry worksheet! Answer the following questions to the best of your ability. When you're finished, review your work and make sure to double-check your calculations. Good luck!
Section 1: Angles
1. If two angles are complementary and one angle measures 35 degrees, what is the measure of the other angle?
2. In a triangle, one angle measures 50 degrees and another measures 60 degrees. Find the measure of the third angle.
Section 2: Triangles
3. Given a right triangle where one leg measures 6 cm and the other leg measures 8 cm, find the length of the hypotenuse.
4. Calculate the perimeter of a triangle with sides measuring 7 cm, 10 cm, and 5 cm.
Section 3: Circles
5. What is the circumference of a circle with a radius of 4 cm? (Use π ≈ 3.14)
6. If the area of a circle is 78.5 cm², what is the radius? (Use π ≈ 3.14)
Section 4: Coordinate Geometry
7. Find the distance between the points (3, 4) and (7, 1) using the distance formula.
8. Determine the midpoint of the line segment connecting the points (2, 3) and (8, 7).
Section 5: Transformations
9. Describe the transformation that maps triangle ABC with vertices A(1, 2), B(3, 4), and C(5, 2) to triangle A'B'C' with vertices A'(2, 3), B'(4, 5), and C'(6, 3).
10. If a square is rotated 90 degrees clockwise around its center, how do the coordinates of the vertices change?
Bonus Challenge
11. A rectangle has a length that is twice its width. If the perimeter of the rectangle is 48 cm, find the dimensions of the rectangle.