Transformation
What is the rule for reflecting a point over the x-axis?
(x, y) → (x, –y)
What is the formula for the volume of a rectangular prism?
V = length × width × height
What is the sum of all angles in a triangle?
180°
What is the formula for the circumference of a circle?
C = 2πr
What is the perimeter of a rectangle that is 4 cm by 6 cm?
P = 2(4 + 6) = 20 cm
What type of transformation moves a figure without changing its shape or size?
Translation
Find the volume: A box that is 5 in. long, 3 in. wide, and 2 in tall
30 in³
What do you call a triangle with two equal sides?
Isosceles
What is the formula for the area of a circle?
A = πr²
What is the area of a rectangle that is 8 ft by 3 ft?
A = 24 ft²
Rotate point (3, 4) 90° clockwise
(4, –3)
What is the volume of a cube with side length 4 cm?
64 cm³
A triangle has angles of 40° and 65°. What is the third angle?
75°
A circle has a radius of 5 cm. What is its area?
A ≈ 3.14 × 25 = 78.5 cm²
Find the area of a triangle with base 10 cm and height 4 cm.
A = ½ × base × height = 20 cm²
What transformation changes the size of a shape?
Dilation
True or False: You find volume by multiplying all three dimensions
True
Can a triangle have two right angles?
No
A circle has a diameter of 10 m. What is the circumference?
C = 3.14 × 10 = 31.4 m
What is the area of a square with side length 7 m?
49 m²
A triangle is reflected then rotated. Is the image still congruent? Why?
Yes, because both transformations preserve size and shape.
A cylinder has a radius of 3 cm and a height of 10 cm. What is the volume?
V ≈ 3.14 × 3² × 10 = 282.6 cm³
What kind of triangle has sides 7 cm, 7 cm, and 7 cm?
Equilateral
What is the radius of a circle with an area of 50.24 in²?
r² = 50.24 ÷ 3.14 ≈ 16, so r = 4 in
A rectangle has area 36 cm² and one side is 4 cm. What is the other side?
9 cm