Units 5 & 6 Midterm Review

Front

What is the Subtraction Property of Equality?

Back

If you subtract the same number from both sides of an equation, the two sides remain equal.

Front

How do you find the reflection of a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, change the sign of the y-coordinate. The new point will be (x, -y).

Front

What is the measure of angle Y if a diagonal brace makes a 50° angle with the wire?

Back

m∠Y = 130° (since the angles on a straight line sum to 180°).

Front

What is always the first statement in the reason column of a proof?

Back

Given.

Front

How do you translate a point using a translation rule?

Back

To translate a point (x, y) using the rule (x, y) → (x + a, y + b), add 'a' to the x-coordinate and 'b' to the y-coordinate.

Front

What is the Addition Property of Equality?

Back

If you add the same number to both sides of an equation, the two sides remain equal.

Front

What is the Division Property of Equality?

Back

If you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Front

What is the Multiplication Property of Equality?

Back

If you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

Front

How do you find the coordinates of a point after a translation?

Back

Apply the translation rule to the original coordinates. For example, for K(4, 2) translated by (x, y) → (x + 3, y - 1), K' = (4 + 3, 2 - 1) = (7, 1).

Front

What is the definition of a proof in geometry?

Back

A proof is a logical argument that uses deductive reasoning to show that a statement is true.