geometry makes me want to die

Question 1

Adjacent Angles

Answer 1

Two angles are called adjacent if they are: (1) non-overlapping and (2) have a ray in common.

two angles are adjacent if they have a common side and a common vertex.

Question 2

Complementary Angle Pairs

Answer 2

Complementary Angles: Two angles are called complementary or complements of one another if their measures add up to 90°
. When placed adjacent to each other, they would form a right angle.

Question 3

Supplementary Angle Pairs

Answer 3

Supplementary Angles: Two angles are called supplementary or supplements of one another if their measures add up to 180°
. When placed adjacent to each other, they would form a straight angle.

Question 4

Congruent Angles

Answer 4

We say that two angles are congruent, , if they have the same degree measurement. We use the term congruent instead of equal because angles are sets of points and, as such, cannot be equal.

Question 5

Linear Angle Pairs (or Just Linear Pairs)

Answer 5

Two angles are a linear pair if they are: (1) adjacent to one another and (2) their non-common rays form a straight angle (straight line

Question 6

Vertical Angle Pairs

Answer 6

Vertical angles are any two angles that share a common vertex and whose rays point in opposite directions. Vertical angles are created when two lines cross each other.

Question 7

Angle Bisector

Answer 7

An angle bisector is a line, or portion of a line such as a ray or a segment, that divides an angle into twocongruent angles, or two angles of equal degree measures.

Question 8

Angle Bisector Fact

Answer 8

For a given angle, there exists only one line that bisects the angle. Another way of saying this is that for any angle, the bisecting line is unique.

Question 9

Perpendicular Lines

Answer 9

Two lines, or parts of lines such as segments and rays, that intersect to form only right angles are called perpendicular. We use the symbol to indicate perpendicularity, such as .

Question 10

Midpoint of a Line Segment

Answer 10

The midpoint is the unique point on a line segment that divides (or partitions) the line segment into twosegments that are the same length (also known as two congruent segments).

Question 11

Segment Bisector

Answer 11

Any line, segment, or ray that passes through the midpoint of a given segment is known as the segment bisector. All segments have only one midpoint but an infinite number of segment bisectors.

Question 12

Perpendicular Bisector

Answer 12

A line, ray, or segment that both bisects a line segment and is perpendicular to the line segment is called a perpendicular bisector. Every line segment has a unique line that is the segment’s perpendicular bisector.

Question 13

Parallel Lines and Segments

Answer 13

Two lines that have no points in common (i.e. don’t intersect) are known as parallel. We say . Two segments are parallel if they are parts of two parallel lines.

Question 14

Parallel Line Postulate*

Answer 14

Given line m and point P not on line m, there exists only one line that can be drawn through point P that is parallel to line m. (*A postulate is something that is assumed to be true without proof.)

Question 15

The Side-Side-Side Theorem for Triangle Congruence

Answer 15

If three sides of one triangle are the same length as three sides of another triangle, then the two triangles are congruent (identical in size and shape). We would say: (triangel)ABC =(with squigilly line on top) (triangle) DEF
We do not use the equal sign here, , because we reserve equality for numerical quantities.