Unit 6 Review (copy)

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the Pythagorean Theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you determine if three side lengths can form a right triangle?

Back

Check if a² + b² = c², where c is the longest side.

Front

Calculate the distance between Point A (3, 0) and Point B (-4, -3).

Back

7.6 units

Front

Given side lengths 8, 15, and 17, do they form a right triangle?

Back

Yes, because 8² + 15² = 17².

Front

If a ladder is leaning against a wall, how can you find the height it reaches?

Back

Use the Pythagorean Theorem: height = √(ladder² - distance from wall²).

Front

Estimate the distance between two locations using a scale. What is a common scale used?

Back

1 block = 1 unit of distance.

Front

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

Back

It is the longest side opposite the right angle.

Front

How do you find the height of an object using the Pythagorean Theorem?

Back

If you know the base and the hypotenuse, use height = √(hypotenuse² - base²).

Front

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

Back

Area = 1/2 * base * height.