Geometry Midterm

Front

What is the definition of a midpoint in geometry?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

If M is the midpoint of LN and LM = 132, what is the length of LN?

Back

LN = 264, since LN = 2 * LM.

Front

What is the formula to find the length of a side in a triangle given the lengths of the other two sides?

Back

The triangle inequality theorem states that the sum of the lengths of any two sides must be greater than the length of the third side.

Front

If PR = 89 and PQ + QR = PR, what is the relationship between PQ and QR?

Back

PQ + QR = 89, where PQ and QR are the lengths of the two segments.

Front

What are the coordinates of point X if the coordinate of Y is 7 and XY = 52?

Back

X can be either 59 or -45, calculated as X = Y ± XY.

Front

How do you calculate the number of diagonals in a polygon?

Back

The formula for the number of diagonals in a polygon with n sides is: Diagonals = n(n-3)/2.

Front

If a polygon has 35 diagonals, how many sides does it have?

Back

The polygon has 10 sides, calculated using the diagonal formula.

Front

What are the four general triangle congruence postulates?

Back

The four postulates are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side).

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, indicating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, indicating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.