Geometry Fall Final Review

Front

What is the definition of a midpoint in geometry?

Back

The midpoint of a line segment is the point that divides the segment into two equal parts. It can be calculated using the formula: Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you calculate the midpoint between two points (x1, y1) and (x2, y2)?

Back

Use the formula: Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

What does the similarity symbol (∼) indicate in triangles?

Back

The similarity symbol indicates that two triangles have the same shape but may differ in size. Corresponding angles are equal, and corresponding sides are proportional.

Front

What does the congruency symbol (≅) indicate in triangles?

Back

The congruency symbol indicates that two triangles are identical in shape and size, meaning corresponding sides and angles are equal.

Front

What is the AAS (Angle-Angle-Side) theorem?

Back

The AAS theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the SSS (Side-Side-Side) theorem?

Back

The SSS theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS (Side-Angle-Side) theorem?

Back

The SAS theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) theorem?

Back

The ASA theorem states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the relationship between corresponding sides and angles in similar triangles?

Back

In similar triangles, corresponding angles are equal, and corresponding sides are proportional.

Front

How do you find the coordinates of the midpoint between (-4, 7) and (6, 13)?

Back

Using the midpoint formula: Midpoint = ((-4 + 6)/2, (7 + 13)/2) = (1, 10).