Instructions
Complete the following exercises related to geometry. Show all your work for full credit.
1. Angles
What is the sum of the interior angles of a triangle? Show your calculation.
2. Area and Perimeter
Calculate the area and perimeter of the following rectangle:
- Length = 8 cm
- Width = 5 cm
Area:
Perimeter:
3. Pythagorean Theorem
Use the Pythagorean theorem to find the length of the hypotenuse of a right triangle with legs measuring 6 cm and 8 cm.
4. Circles
What is the circumference of a circle with a radius of 4 cm? Use the formula C = 2Ï€r. Round your answer to two decimal places.
5. Word Problem
A trapezoid has bases of length 10 cm and 6 cm, and a height of 4 cm. Calculate the area of the trapezoid using the formula: Area = 1/2 * (base1 + base2) * height.
6. Reflection
Describe how understanding geometry can be useful in real life. Provide at least two examples.