Geometry Midterm

Front

Find the midpoint of the line segment with the given endpoints: (8, -8), (0, 4).

Back

(4, -2) - The midpoint formula is M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the relationship between two angles that are in the same position relative to two parallel lines cut by a transversal?

Back

Corresponding angles - They are equal.

Front

Solve for b if m∠EFQ + m∠QFG + m∠EFG = 180° and m∠EFQ = 100°, m∠QFG = 30°.

Back

b = 50°.

Front

What is the relationship between two angles that are on opposite sides of the transversal and outside the two lines?

Back

Alternate exterior angles - They are equal.

Front

Find m∠EFG if m∠EFQ = 100° and m∠QFG = 34°.

Back

m∠EFG = 46°.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What do you call angles that are formed when two lines intersect and are opposite each other?

Back

Vertical angles - They are equal.

Front

What is the sum of the interior angles of a triangle?

Back

180°.

Front

If two parallel lines are cut by a transversal, what can be said about the same-side interior angles?

Back

They are supplementary - their sum is 180°.

Front

What is the relationship between two angles that are on the same side of the transversal and between the two lines?

Back

Same-side interior angles - They are supplementary.