Instructions
Complete the following worksheet by answering the questions. Be sure to show your work where needed!
Section 1: Basic Geometry Definitions
1. Define the following terms:
a. Point:
b. Line:
c. Plane:
Section 2: Types of Angles
2. Identify the types of angles described below:
a. Angle less than 90 degrees:
b. Angle exactly 90 degrees:
c. Angle greater than 90 but less than 180 degrees:
Section 3: Measuring Angles
Instructions: Use a protractor to measure the angles provided below (draw your own angles on a separate paper as instructed by your teacher). Respond with the degree measure.
a. Angle A: __________ degrees
b. Angle B: __________ degrees
c. Angle C: __________ degrees
Section 4: Perimeter and Area
3. Calculate the perimeter and area of the following shapes:
a. Rectangle with length 8 cm and width 5 cm:
Perimeter: cm
Area: cm²
b. Circle with a radius of 3 cm (Use π = 3.14):
Circumference: cm
Area: cm²
Section 5: Coordinate Geometry
4. Answer the following questions based on the coordinate grid:
a. What is the coordinate of the point that lies 4 units right and 3 units up from the origin? __________
b. If a triangle is defined by the points (1,2), (4,5), and (1,5), what is the length of the base of the triangle? __________
Section 6: Challenge Problem
5. A right triangle has one leg measuring 6 cm and the other leg measuring 8 cm.
a. Calculate the hypotenuse using the Pythagorean theorem (a² + b² = c²):
Hypotenuse (c): cm
b. What is the area of the triangle? cm²
Section 7: Reflection
6. Write a short paragraph on how geometry is used in the real world. Use at least three examples: