Geometry Concepts and Problem Solving

This video tutorial from Math Sucks helps students prepare for the geometry common core regents by solving questions one at a time. It covers calculating the volume of a fire pit, determining the number of concrete bags needed, calculating the length and placement of a support beam, proving a quadrilateral is a parallelogram but not a rectangle, and proving triangle similarity to solve proportions.

What is the main goal of the video tutorial?

• To help pass the geometry common core regions

• To teach algebra concepts

• To explain calculus problems

• To provide a history of mathematics

What is the first step in solving the fire pit problem?

• Find the area of the base

• Calculate the perimeter

• Find the volume of the entire prism

• Determine the thickness of the walls

How do you convert inches to feet in the fire pit problem?

• Multiply by 12

• Divide by 12

• Add 12

• Subtract 12

How many bags of concrete are needed for the fire pit?

• 21 bags

• 22 bags

• 20 bags

• 18 bags

What percentage of the telephone pole's height does the beam reach?

• 50%

• 80%

• 60%

• 70%

Which trigonometric function is used to find the length of the support beam?

• Sine

• Cosine

• Tangent

• Cotangent

What theorem can be used to find the distance from the base of the pole?

• Law of Cosines

• Area Theorem

• Pythagorean Theorem

• Law of Sines

What must be proven to show a quadrilateral is a parallelogram?

• Diagonals are equal

• All angles are right angles

• Opposite sides are parallel

• All sides are equal

Why is the quadrilateral not a rectangle?

• It has parallel diagonals

• It has equal angles

• It has equal sides

• It has no right angles

What is the first step in proving triangles are similar?

• Measure the angles

• Find the perimeter

• Identify parallel lines and transversals

• Calculate the area