Pythagorean Flashcard - applying and coordinate grid K&K

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). It can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

How do you calculate the distance between two points on a coordinate grid?

Back

The distance between two points (x1, y1) and (x2, y2) on a coordinate grid can be calculated using the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees. The side opposite the right angle is called the hypotenuse.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is crucial for applying the Pythagorean Theorem.

Tags

CCSS.8.G.B.8

Front

How can you determine if a triangle is a right triangle using side lengths?

Back

To determine if a triangle with side lengths a, b, and c is a right triangle, check if a² + b² = c² holds true, where c is the longest side.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a right triangle and the Pythagorean Theorem?

Back

The Pythagorean Theorem provides a relationship between the lengths of the sides of a right triangle, allowing us to find the length of one side if the lengths of the other two sides are known.

Tags

CCSS.8.G.B.8

Front

How do you find the width of a screen given the diagonal and height?

Back

To find the width of a screen given the diagonal (d) and height (h), use the Pythagorean Theorem: w = √(d² - h²), where w is the width.

Tags

CCSS.8.G.B.8

Front

What is the formula for calculating the area of a right triangle?

Back

The area of a right triangle can be calculated using the formula: Area = (1/2) * base * height.

Tags

CCSS.6.G.A.1

Front

What is the definition of a coordinate grid?

Back

A coordinate grid is a two-dimensional plane formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

Tags

CCSS.5.G.A.1

Front

How do you apply the Pythagorean Theorem to real-world problems?

Back

To apply the Pythagorean Theorem to real-world problems, identify the right triangle formed by the situation, label the sides, and use the theorem to find the unknown side length.

Tags

CCSS.8.G.B.8