Geometry Final Review

Front

Does a triangle with these side lengths exist? 15, 12, 9

Back

Yes, a triangle with these side lengths exists because the sum of the lengths of any two sides is greater than the length of the third side.

Front

What is the scale factor from ABCD to MNOP?

Back

The scale factor is 3/2, meaning that the dimensions of figure MNOP are 1.5 times larger than those of figure ABCD.

Front

Solve for x: 2x + 5 = 71

Back

x = 33

Front

The pair of figures is similar. Find the missing side: If one side is 21 and the corresponding side is x, and the scale factor is 3:2, what is x?

Back

x = 63

Front

Given the proof, what would the 'Reason 1' be?

Back

Given.

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

Define similar figures in geometry.

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

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 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): a² + b² = c².

Front

How do you find the perimeter of a rectangle?

Back

The perimeter of a rectangle is found using the formula: Perimeter = 2 * (length + width).