Honors Geometry December Semester Exam Review 2024

Front

What is the contrapositive of the statement: 'If I go to Chick-fil-A for lunch, then I am late for class'?

Back

The contrapositive is: 'If I am not late for class, then I didn't go to Chick-fil-A for lunch.'

Front

If K is between H and J, and HK = 2x - 5, KJ = 3x + 4, and HJ = 24, how do you find the value of x?

Back

Set up the equation: HK + KJ = HJ, which gives 2x - 5 + 3x + 4 = 24. Solve for x to find x = 5.

Front

How do you rotate a point 90 degrees clockwise around the origin?

Back

To rotate point J (3, 1) 90 degrees clockwise, switch the coordinates and change the sign of the new x-coordinate: J' = (1, -3).

Front

What is the formula to find the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2). For B (-3, 5) and C (12, 12), M = (4.5, 8.5).

Front

What does the Vertical Angles Theorem state?

Back

The Vertical Angles Theorem states that vertical angles are congruent.

Front

Define supplementary angles.

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

How do you determine if two angles are vertical angles?

Back

Two angles are vertical angles if they are opposite each other when two lines intersect.

Front

What is the relationship between the angles formed by a transversal intersecting two parallel lines?

Back

When a transversal intersects two parallel lines, corresponding angles are congruent, and alternate interior angles are also congruent.

Front

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

Back

The distance d is given by d = √((x2 - x1)² + (y2 - y1)²).