Lines
Lines that never touch
parallel lines
An angle whose measure is less than 90 degrees
Acute angle
What is the formula for the perimeter of a rectangle?
P = 2 × (Length + Width)
What is the name of a 3D shape with six square faces?
Cube
Name one real-world job where geometry is essential.
Architect, engineer, carpenter, etc.
What are intersecting lines?
lines that cross
an angle whose measure is greater than 90 degrees
Obtuse angle
A square has a side length of 5 cm. What is its area?
Area = 5 × 5 = 25 cm²
True or False: A net is a 2D pattern that can be folded to create a 3D shape.
True
Why is accurate measurement important in construction?
To ensure safety, proper alignment, and efficient use of materials.
What are lines that intersect to form right angles?
Perpendicular lines
What is a straight angle?
an angle whose measure is equal to 180 degrees
A triangle has a base of 6 cm and a height of 4 cm. What is its area?
Area = ½ × base × height = ½ × 6 × 4 = 12 cm²
A rectangular prism has a length of 8 cm, a width of 4 cm, and a height of 5 cm. How many faces does it have?
6 faces
A painter wants to paint a rectangular wall measuring 10 m by 5 m. Each can of paint covers 20 m². How many cans are needed?
Area = 10 × 5 = 50 m²; 50 ÷ 20 = 2.5; they will need 3 cans.
How is called a line that intersects two other lines?
transversal line
A tool used to measure the degree of an angle
Protractor
A rectangular park has a length of 20 meters and a width of 10 meters. What is the total fencing needed for the perimeter?
Perimeter = 2 × (20 + 10) = 60 meters
You build a triangular prism using a net. How many faces will it have, and what are their shapes?
5 faces – 2 triangles and 3 rectangles
A farmer has a rectangular field measuring 60 m by 40 m and wants to add a triangular flower bed with a base of 20 m and a height of 15 m. What is the total area of the field and the flower bed?
Field area = 60 × 40 = 2400 m²
Flower bed area = ½ × 20 × 15 = 150 m²
Total = 2400 + 150 = 2550 m²
A straight line which links two points without extending beyond them
Line segment
an angle whose measure is equal to 90 degrees
right angle
A rectangle and a square have the same area. The rectangle is 8 cm wide and 4 cm long. What is the side length of the square?
Area of rectangle = 8 × 4 = 32 cm²
Side length of square = √32 ≈ 5.66 cm
A rectangular prism has dimensions of 5 cm, 3 cm, and 2 cm. What is its volume?
Volume = Length × Width × Height = 5 × 3 × 2 = 30 cm³
A shipping company needs to design a box to hold a package. The package has a volume of 1,200 cm³. If the box is a cube, what is the length of each side?
Volume = Side³
Side = ∛1200 ≈ 10.7 cm