Geometry Concepts and Formulas

Mr. Perez reviews key geometry concepts, including complementary and supplementary angles, solving for unknown angles in triangles, calculating the area of triangles, finding the perimeter and area of complex shapes, understanding circles, and calculating the volume of cylinders and cones. The video provides step-by-step explanations and examples to help students grasp these fundamental geometry topics.

What is the sum of complementary angles?

• 360 degrees

• 45 degrees

• 180 degrees

• 90 degrees

If one angle is 80 degrees, what is the measure of its supplementary angle?

• 60 degrees

• 90 degrees

• 100 degrees

• 80 degrees

What is the sum of the interior angles of a triangle?

• 360 degrees

• 90 degrees

• 270 degrees

• 180 degrees

If two angles of a triangle are 48 degrees and 18 degrees, what is the third angle?

• 90 degrees

• 100 degrees

• 120 degrees

• 114 degrees

How do you calculate the area of a triangle?

• Base plus height

• Base times height

• 1/2 base times height

• Base minus height

What is the area of a triangle with a base of 7 cm and height of 10 cm?

• 35 cm²

• 70 cm²

• 17 cm²

• 50 cm²

How do you find the perimeter of a shape?

• Divide all sides

• Add all side lengths

• Multiply all sides

• Subtract all sides

What is the formula for the circumference of a circle?

• r²

• πd

• 2πr

• πr²

What is the volume formula for a right circular cylinder?

• πr²h

• 1/3πr²h

• 2πrh

• πr²

How is the volume of a cone related to the volume of a cylinder?

• It is half

• It is the same

• It is double

• It is one-third