7A Quarterly 1

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 plane?

Back

To calculate the distance between two points (x1, y1) and (x2, y2), use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. For example, if y = kx, where k is a constant, then y is proportional to x.

Tags

CCSS.7.RP.A.2D

Front

How do you determine if a relationship is proportional using a table of values?

Back

To determine if a relationship is proportional using a table, check if the ratios of corresponding values (y/x) are the same for all pairs of values.

Tags

CCSS.7.RP.A.2A

Front

What is the formula for the length of a ladder leaning against a wall?

Back

The length of the ladder can be found using the Pythagorean Theorem: c = √(a² + b²), where c is the length of the ladder, a is the distance from the wall, and b is the height reached on the wall.

Tags

CCSS.8.G.B.8

Front

What does it mean for a relationship to be non-proportional?

Back

A relationship is non-proportional if the ratio between the two quantities changes, meaning that as one quantity increases, the other does not increase at a constant rate.

Tags

CCSS.7.RP.A.2D

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place (the second digit after the decimal). If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Tags

CCSS.5.NBT.A.4

Front

What is the significance of coordinate planes in geometry?

Back

Coordinate planes allow us to represent points, lines, and shapes using pairs of numbers (coordinates), making it easier to analyze geometric relationships and distances.

Tags

CCSS.5.G.A.1

Front

How do you find the height of a triangle using the Pythagorean Theorem?

Back

In a right triangle, if you know the lengths of the base and the hypotenuse, you can find the height (the other leg) using the formula: height = √(hypotenuse² - base²).

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the side opposite the right angle is the hypotenuse, and it is always the longest side. The other two sides are called the legs.