Pre-AP Geometry Semester 1 Final Exam Review

Front

What are linear pairs of angles?

Back

Linear pairs of angles are two adjacent angles that form a straight line. They are supplementary, meaning their measures add up to 180 degrees.

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length. The opposite angles are also equal.

Front

How do you prove that a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if: 1) Both pairs of opposite sides are equal, 2) Both pairs of opposite angles are equal, 3) The diagonals bisect each other, or 4) One pair of opposite sides is both parallel and equal.

Front

What is the equation of a circle with center (h, k) and radius r?

Back

The equation of a circle is given by: $$(x - h)^2 + (y - k)^2 = r^2$$.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What are same side interior angles?

Back

Same side interior angles are pairs of angles on the same side of a transversal that intersects two parallel lines. They are supplementary.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition. For instance, if two lines are skew, they do not intersect and are not parallel.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: $$A = length \times width$$.

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): $$a^2 + b^2 = c^2$$.