Midterm Review 2

Front

What is the formula for the perimeter of a parallelogram?

Back

The perimeter (P) of a parallelogram is given by the formula: P = 2(a + b), where 'a' and 'b' are the lengths of the two distinct sides.

Front

What is a transformation that preserves side lengths?

Back

Transformations that preserve side lengths include reflections, rotations, and translations.

Front

What type of triangle has two equal sides?

Back

An isosceles triangle has two equal sides.

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 effect of a reflection over the x-axis on a point (x, y)?

Back

The reflection of a point (x, y) over the x-axis results in the point (x, -y).

Front

What is the weighted average formula?

Back

The weighted average is calculated as: \( \text{Weighted Average} = \frac{(x_1 \cdot w_1) + (x_2 \cdot w_2)}{w_1 + w_2} \), where x is the value and w is the weight.

Front

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

Back

The distance (d) between two points is given by: \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but preserves its shape.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.

Front

What is the result of reflecting a point over the line y = -1?

Back

The reflection of a point (x, y) over the line y = -1 results in the point (x, -2 - y).