Semester 1 Final Review

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

How do you find the new coordinates after a translation?

Back

To find the new coordinates after a translation, add the translation values to the original coordinates. For example, for a translation of (x, y) → (x+2, y-3), add 2 to the x-coordinate and subtract 3 from the y-coordinate.

Front

What is a valid conclusion in statistics?

Back

A valid conclusion is a statement that is supported by data and can be generalized to a larger population based on the sample.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if it leads to a contradiction, such as 2 = -2, indicating that there are no values that satisfy the equation.

Front

What is congruence in geometry?

Back

Congruence means that two shapes are identical in shape and size, and can be made to coincide by transformations such as translation, rotation, or reflection.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

Front

How do you simplify an equation?

Back

To simplify an equation, combine like terms, use the distributive property, and perform any necessary arithmetic operations.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.