Unit 5 and Unit 6 Practice Review

Front

If a triangle has sides 3, 4, and 5, is it a right triangle?

Back

Yes, it is a right triangle because it satisfies the Pythagorean theorem: 3² + 4² = 5².

Front

What is the closest length to PQ if the options are 10.9 units, 13 units, 2.4 units, and 169 units?

Back

The closest length to PQ is 13 units.

Front

Find the distance between the two points if the options are 5.8, 6.3, 8.1, and 40.

Back

The distance between the two points is 6.3.

Front

What is the INVERSE of squaring a number x²?

Back

The inverse of squaring a number is the square root, represented as √.

Front

If two shapes are similar, how do you find the value of x?

Back

You can find x by setting up a proportion based on the corresponding sides of the similar shapes.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

The distance can be calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

What is the definition of a right triangle?

Back

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