DA #3 REDO 8.6C, 8.7CD

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.

Front

What is the area of a square?

Back

The area of a square is calculated by squaring the length of one of its sides. Formula: Area = side².

Front

If the area of Square A is 25 cm², what is the length of one side?

Back

The length of one side of Square A is 5 cm, since 5² = 25.

Front

What does it mean for two areas to be equal?

Back

Two areas are equal if they cover the same amount of space, meaning their measurements in square units are the same.

Front

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

Back

Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between the points (3, 4) and (7, 1)?

Back

The distance is 5 units, calculated as √((7-3)² + (1-4)²) = √(16 + 9) = √25 = 5.

Front

What is the definition of a right triangle?

Back

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

Front

What is the relationship between the areas of squares formed on the sides of a right triangle?

Back

The sum of the areas of the two smaller squares is equal to the area of the largest square (the hypotenuse).

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated as Area = 1/2 * base * height.

Front

If the base of a triangle is 10 cm and the height is 5 cm, what is the area?

Back

The area is 25 cm², calculated as 1/2 * 10 * 5.