Pythagorean Theorem, Special Right Triangles, and Trig Ratios

What is the formula for the Pythagorean theorem as used to find a side length on a right triangle?

• a² = b² + c²

• a² + b² = c²

• a² - b² = c²

• a² + b² + c²

Tags

CCSS.8.G.B.8

What is the trigonometric ratio that compares the length of the side opposite to the acute angle with the length of the hypotenuse in a right triangle?

• Cosine

• Tangent

• Sine

• Secant

Tags

CCSS.HSG.SRT.C.6

Which of the following is the correct expression for the cosecant (csc) in terms of sine?

• csc θ = 1/cos θ

• csc θ = 1/tan θ

• csc θ = 1/sin θ

• csc θ = sin θ

Tags

CCSS.HSF.TF.A.2

Which Greek letter is commonly used to represent the measure of an acute angle in a right triangle?

• Alpha (α)

• Beta (β)

• Gamma (γ)

• Theta (θ)

If cos θ = 2/3, what is the value of sec θ?

• 2/3

• 3/2

• 1/2

• 3

Tags

CCSS.HSG.SRT.C.7

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.7

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.8

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

• 44.1 km

• 59 km

• 47.8 km

• 33 km

Tags

CCSS.8.G.B.8

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

• 180 feet

• 90 feet

• 13.4 feet

• 127.3 feet

Tags

CCSS.8.G.B.8

A ladder reaches a height of 19 feet on the side of a building. If the base of the ladder is 10 feet from the wall, the length of the ladder is ​ (a)   .

• 21.5 feet
• 16.2 feet
• 29 feet
• 5.4 feet

Tags

CCSS.8.G.B.8