Dec.19 Pythagorean Theorem

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 are the sides of a right triangle called?

Back

The sides of a right triangle are called the legs (the two shorter sides) and the hypotenuse (the longest side opposite the right angle).

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5.

Tags

CCSS.8.G.B.7

Front

What is a transversal?

Back

A transversal is a line that intersects two or more parallel lines.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Tags

CCSS.7.G.B.5

Front

What is the value of x if x² + 16 = 25?

Back

x² = 25 - 16; x² = 9; x = 3 or x = -3.

Tags

CCSS.8.EE.A.2

Front

What is the distance formula derived from the Pythagorean Theorem?

Back

The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

If two angles are supplementary, what is their sum?

Back

The sum of supplementary angles is 180 degrees.

Tags

CCSS.7.G.B.5