Instructions
Complete the following problems related to geometry concepts. Show your work for full credit!
1. Angles
In triangle ABC, angle A measures 40 degrees and angle B measures 60 degrees. What is the measure of angle C?
2. Area of a Triangle
Find the area of a triangle with a base of 10 cm and a height of 5 cm. Use the formula: Area = (base * height) / 2
3. Pythagorean Theorem
A right triangle has one leg that measures 6 cm and the other leg that measures 8 cm. Use the Pythagorean Theorem (a² + b² = c²) to find the length of the hypotenuse (c).
4. Circumference of a Circle
Calculate the circumference of a circle with a radius of 4 cm. Use the formula: Circumference = 2 * π * radius (use π = 3.14).
5. Volume of a Rectangular Prism
Find the volume of a rectangular prism with a length of 5 cm, width of 3 cm, and height of 4 cm. Use the formula: Volume = length * width * height.
6. Review Questions
Answer the following questions based on your understanding of geometry:
a. What is the sum of the interior angles of a triangle?
b. Define what a parallelogram is. Give an example of its properties.
c. How do you determine if three lengths can form a triangle?
Remember to review your answers and make sure you have shown all your work!