The Pythagorean Theorem

In a right triangle the __________ are the two sides that form the right angle.

• Legs

• Hypotenuses

• Right Angles

• Points

In a right triangle, the __________ is the side across from the right angle.

• Leg

• Hypotenuse

• Right Angle

• Point

Look at the figure. Which of the following correctly completes the diagram to represent the Pythagorean Theorem?

• 
• 
• 
• 

Tags

CCSS.8.G.B.8

Based on the diagram, which of the following is NOT true?

• 3² + 4² = 5²

• 3² + 5² = 4²

• 5² - 4² = 3²

• 5² - 3² = 4²

Tags

CCSS.8.G.B.8

Which of the following is true about all right triangles?

• The sum of the measures of the legs of a right triangle is equal to the measure of the hypotenuse.

• The product of the measures of the legs of a right triangle is equal to the measure of the hypotenuse.

• The sum of the measures of the legs of a right triagnle squaerd is equal to the square of the hypotenuse.

• The sum of the squares of each leg of a right triangle is equal to the square of the hypotenuse.

Tags

CCSS.8.G.B.8

A right triangle is formed by joining three squares at their vertices. Which equation can be used to find the length of x?

• x = 576 + 7

• x = 576 + 7²

• x² = 576 - 7

• x² = 576 + 7²

Tags

CCSS.8.G.B.8

A right triangle is formed by line segments KM, MP, and KP. Based on the diagram, which describes the best method to determine the area of the shaded region?

• The area of the shaded region is equal to the sum of the areas of the the two unshaded regions.

• The area of the shaded region is equal to the difference in the areas of the unshaded regions.

• The area of the shaded region is equal to the sum of the side lengths of the unshaded regions.

• The area of the shaded region is equal to the difference in the side lengths of the unshaded regions.

Tags

CCSS.HSG.CO.C.10

Which of the following is true about the Pythagorean Theorem?

• The Pythagorean Theorem can be used to determine the side lengths of any right triangle.

• The Pythagorean Theorem can be used to determine the side lengths of any triangle.

• The Pythagorean Theorem can be used to determine the angle measures of any right triangle.

• The Pythagorean Theorem can be used to determine the angle measures of any triangle.

Tags

CCSS.8.G.B.8

Look at the diagram. Using the Pythagorean Theorem, which of the following is true?

• The sum of the areas of squares B and C is equal to the area of square A.

• The difference of the areas of squares A and B is equal to the area of square C.

• The sum of the areas of squares A and B is equal to the area of square C.

• The sum of the areas of squares A and C is equal to the area of square B.

Tags

CCSS.8.G.B.8

Based on the Pythagorean Theorem, which of the following is NOT true?

• b² + a² = c²

• b² + c² = a²

• c² - a² = b²

• c² - b² = a²

Tags

CCSS.8.G.B.8