Mod 6 Review

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.

Front

How do you find the distance between two points in a coordinate plane?

Back

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

Front

What is a right triangle?

Back

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

Front

Can a triangle be formed with sides of lengths 10cm, 11cm, and 13cm?

Back

No, because 10 + 11 is not greater than 13. The triangle inequality theorem states that the sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is the distance between the points (-2, 3) and (2, -1)?

Back

The distance is approximately 5.7 units.

Front

What does it mean for a zipline cable to be tight?

Back

A tight zipline cable means that it is stretched straight between two points without sagging, ensuring safety and proper function.

Front

What is the formula for the area of a triangle?

Back

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

Front

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

Back

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

Front

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

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (Pythagorean Theorem).

Front

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

Back

To determine if three lengths can form a triangle, check the triangle inequality theorem: the sum of the lengths of any two sides must be greater than the length of the third side.