Instructions
Answer the following questions to test your understanding of geometry concepts. Show all your work for full credit.
1. Calculate the Area
Find the area of a triangle with a base of 10 cm and a height of 5 cm.
2. Circumference of a Circle
A circle has a radius of 7 cm. What is its circumference? Use the formula C = 2πr.
3. Pythagorean Theorem
In a right triangle, one leg is 6 cm and the other leg is 8 cm. Find the length of the hypotenuse.
4. Volume of a Cylinder
Determine the volume of a cylinder with a radius of 3 cm and a height of 10 cm. Use the formula V = πr²h.
5. Angles in a Triangle
In triangle ABC, angle A is 40 degrees, and angle B is 60 degrees. What is the measure of angle C?
6. Short Response
Explain the relationship between the angles in a triangle.
7. Long Response
Discuss a real-life example where you could apply geometry concepts. Describe the situation and the concepts you would use.