Instructions
Welcome to your geometry worksheet! Here you will explore various concepts related to geometry, including angles, shapes, and area. Answer each question in the space provided.
1. Angle Relationships
Suppose two angles are complementary, meaning they add up to 90 degrees. If one angle measures 35 degrees, what is the measure of the other angle?
2. Types of Triangles
Describe the difference between an equilateral triangle, an isosceles triangle, and a scalene triangle. Write your answers in one or two sentences.
3. Area of a Rectangle
Calculate the area of a rectangle that has a length of 10 cm and a width of 5 cm. Show your work.
4. Pythagorean Theorem
In a right triangle, the lengths of the two legs are 6 cm and 8 cm. Use the Pythagorean theorem to find the length of the hypotenuse. Show your work.
5. Circumference of a Circle
The radius of a circle is 7 cm. Calculate the circumference of the circle using the formula C = 2πr, where π ≈ 3.14. Show your work.
6. Volume of a Rectangular Prism
A rectangular prism has a length of 4 cm, a width of 3 cm, and a height of 5 cm. What is the volume? Use the formula Volume = length × width × height.
7. Reflection and Rotation
Explain what is meant by the terms "reflection" and "rotation" in geometry. Provide an example for each.
8. Challenge Question
Can a triangle have sides that measure 2 cm, 3 cm, and 6 cm? Explain your reasoning based on the triangle inequality theorem.
Bonus Question: If a shape has four sides and all sides are equal in length, what type of shape is it? Describe the properties of this shape.