OL Vocabulary Practice Homework #21

Pythagorean Theorem

• An angle that measures 90 degrees

• The side of a right triangle opposite the right angle

• a²+b²=c²

  "a" and "b" are the legs of the right triangle and "c" is the hypotenuse

• One of the two sides of the right triangle that form the right angle

Answer explanation

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the legs (a and b) equals the square of the hypotenuse (c), expressed as a²+b²=c². This is fundamental in geometry.

Tags

CCSS.8.G.B.8

Hypotenuse

• A coordinate system formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

• One of the two sides of the right triangle that form the right angle

• a²+b²=c²

  "a" and "b" are the legs of the right triangle and "c" is the hypotenuse

• The side of a right triangle opposite the right angle

Answer explanation

The hypotenuse is defined as the side of a right triangle that is opposite the right angle, making it the longest side of the triangle. This distinguishes it from the legs, which form the right angle.

Tags

CCSS.8.G.B.8

Coordinate Plane

• A coordinate system formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

• The side of a right triangle opposite the right angle

• An angle that measures 90 degrees

• A triangle with one right angle

Answer explanation

The correct answer describes a coordinate plane, which is formed by the intersection of the x-axis and y-axis. The other options refer to concepts related to triangles and angles, not the coordinate system.

Tags

CCSS.5.G.A.1

Right Triangle

• A coordinate system formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

• a²+b²=c²

  "a" and "b" are the legs of the right triangle and "c" is the hypotenuse

• An angle that measures 90 degrees

• A triangle with one right angle

Answer explanation

A right triangle is defined as a triangle that has one angle measuring 90 degrees. Therefore, the correct choice is 'A triangle with one right angle', which accurately describes the essential characteristic of a right triangle.

Tags

CCSS.4.G.A.2

Leg of a Right Triangle

• A coordinate system formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

• One of the two sides of the right triangle that form the right angle

• The side of a right triangle opposite the right angle

• An angle that measures 90 degrees

Answer explanation

The correct answer is 'One of the two sides of the right triangle that form the right angle' because in a right triangle, the legs are the sides that create the right angle, distinguishing them from the hypotenuse.

a number that when multiplied by itself equals a given number; opposite of squaring a number

• Square Root

• Pythagorean Triple

• Hypotenuse

• Squaring

Answer explanation

The term 'Square Root' refers to a number that, when multiplied by itself, equals a given number. It is the opposite operation of squaring a number, making it the correct choice for this definition.

Tags

CCSS.8.EE.A.2

a set of three positive integers that work in the pythagorean theorem

• Theorem

• Pythagorean Triple

• Square Root

• Pythagorean Theorem

Answer explanation

A Pythagorean Triple consists of three positive integers a, b, and c that satisfy the equation a² + b² = c². This is a direct application of the Pythagorean Theorem, making 'Pythagorean Triple' the correct choice.

Tags

CCSS.8.G.B.8

The two sides of a right triangle that form the right angle; the two smaller sides of a right triangle

• Square Root

• Hypotenuse

• Leg

• Squaring

Answer explanation

In a right triangle, the two sides that form the right angle are called the 'legs'. The hypotenuse is the longest side opposite the right angle, while 'square root' and 'squaring' are unrelated terms.

multiplying a number by itself; opposite of square rooting a number

• Square Root

• Pythagorean Triple

• Theorem

• Squaring

Answer explanation

The question describes the process of multiplying a number by itself, which is known as squaring. This is the opposite of finding the square root of a number, making 'Squaring' the correct answer.

Tags

CCSS.8.EE.A.2

The side opposite the right angle in a right triangle; the longest side in a right triangle

• Square Root

• Hypotenuse

• Leg

• Pythagorean Theorem

Answer explanation

The hypotenuse is the side opposite the right angle in a right triangle and is the longest side. It is a key concept in trigonometry and is essential for applying the Pythagorean theorem.