Instructions
Complete the following exercises related to geometry concepts. Show your work for calculations and use the space provided for your answers.
1. Identify the Shapes
Draw and label the following shapes:
- A triangle with one angle of 90 degrees
- A rectangle with a length of 8 cm and width of 5 cm
- A circle with a radius of 4 cm
Use the space below to draw your shapes:
2. Calculating Area
Calculate the area of the shapes you drew in Question 1. Show your work and write your answers in the space provided:
Triangle (base = 6 cm, height = 4 cm):
Rectangle (length = 8 cm, width = 5 cm):
Circle (radius = 4 cm):
3. Perimeter Calculation
Calculate the perimeter of the shapes you drew in Question 1. Show your work and write your answers in the space provided:
Triangle (sides: 6 cm, 4 cm, 5 cm):
Rectangle (length = 8 cm, width = 5 cm):
Circle (circumference = 2Ï€r, r = 4 cm):
4. Angles in Triangles
In a triangle, the angles are 40 degrees and 70 degrees. Calculate the measure of the third angle:
5. Reflection and Rotation
Explain in a few sentences the difference between reflection and rotation of shapes. Use the space provided:
6. Real-Life Application
Think of an object around you that has geometric shapes (e.g., a book, a table). Describe its geometric properties, such as the types of shapes and their measurements:
7. Challenge Question
A park is in the shape of a rectangle that measures 50 m long and 30 m wide. If a path 1 m wide is built around it, what will be the new area of the park including the path?