Shapes and Properties
What is a polygon with four sides called?
What is a quadrilateral?
What do you call an angle that measures exactly 90∘?
What is a right angle?
What is the formula for the perimeter of a rectangle?
What is P=2(l+w)?
What is the formula for the volume of a rectangular prism?
What is V=l×w×h?
What is a translation in geometry?
What is a transformation that slides a figure in a straight line from one position to another without changing its shape or size?
Name a shape that has exactly one pair of parallel sides.
What is a trapezoid?
What is the relationship between complementary angles?
What is they add up to 90∘?
Calculate the area of a triangle with a base of 6 units and height of 4 units.
What is 12 square units
(Area=1/2×base×height=1/2×6×4)?
Calculate the surface area of a cube with a side length of 3 units.
What is 54 square units (Surface Area = 6s2=6(32)=54)?
What is the result of a reflection across the x-axis?
What is the y-coordinates of the points change sign, while the x-coordinates remain the same?
What is the sum of the interior angles of a triangle?
What is 180∘?
If two angles are supplementary and one measures 120∘120∘, what is the measure of the other angle?
What is 60∘?
What is the formula for the area of a circle?
What is A=πr2?
What is the formula for the volume of a cylinder?
What is V=πr2h?
How do you perform a 90-degree clockwise rotation of a point (x,y)?
What is the new coordinates will be (y,−x)?
Describe the difference between a regular polygon and an irregular polygon.
What is a regular polygon has all sides and angles equal, while an irregular polygon does not?
What is an angle that measures between 0∘ and 90∘?
What is an acute angle?
If a square has a perimeter of 40 units, what is its area?
What is 100 square units (Area = side2=(10)2=100?
A cone has a radius of 4 units and a height of 9 units. What is its volume?
What is 48π48π cubic units (Volume = 13πr2h=1/3π(42)(9)=48π)?
What is the difference between a dilation and a transformation?
What is a dilation changes the size of a figure while maintaining its shape, while a transformation can include changes in position, size, or orientation?
Identify the properties of a rhombus.
What is a rhombus has all sides equal, opposite angles are equal, and diagonals bisect each other at right angles?
Prove that the angles in a triangle always sum to 180∘ using an exterior angle.
What is the exterior angle is equal to the sum of the two remote interior angles, demonstrating that the angles in a triangle add up to 180∘?
A rectangle has a length of 10 units and a width of 5 units. What is its perimeter and area?
What is Perimeter = 30 units and Area = 50 square units?
Explain how to find the surface area of a sphere.
What is the surface area of a sphere is given by the formula A=4πr2?
Describe how to determine the center of dilation for a figure.
What is the center of dilation is the point from which all points of the figure are expanded or contracted, and can be found by drawing lines from the original points to their corresponding dilated points and identifying their intersection?