SBAC Test -Pythagorean Theorem and Converse

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

Front

How can you determine if three side lengths form a right triangle?

Back

To determine if three side lengths (a, b, c) form a right triangle, check if a² + b² = c², where c is the longest side.

Tags

CCSS.8.G.B.8

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Tags

CCSS.4.G.A.2

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

Tags

CCSS.4.G.A.2

Front

If a triangle has sides of lengths 11, 12, and 15, is it acute, obtuse, or right?

Back

The triangle is acute.

Tags

CCSS.HSG.CO.C.10

Front

Given sides a = 2.1, b = 7.2, and c = 7.5, is this a right triangle?

Back

Yes, it is a right triangle.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of the missing side in a right triangle?

Back

Use the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

If the sides of a triangle are 13, 80, and 81, do they form a right triangle?

Back

No, they do not form a right triangle.

Tags

CCSS.8.G.B.8