Intro to Geometric Proofs

Question 1

2- Column Proof

Answer 1

consists of 5 parts: the given, the proposition, the statement column, the reason column, and the diagram (if one is given)

Question 2

Line

Answer 2

straight, no thickness, extends infinitely in both directions

Question 3

Segment

Answer 3

part of a line that connects 2 points, has definite endpoints

Question 4

Ray

Answer 4

a part of a line with a starting point but no ending point

Question 5

Angle

Answer 5

the figure formed by 2 rays extending from the same point

Question 6

Congruent

Answer 6

same shape and size, 2 shapes are congruent if you can turn/flip/slide one so it fits exactly on the other

Question 7

Verticle Angles

Answer 7

the angles opposite each other when two lines cross, they’re always equal

Question 8

Adjacent Angles

Answer 8

common side and common vertex but don’t overlap

Question 9

Complementary Angles

Answer 9

add up to 90 degrees, don’t have to be next to each other

Question 10

Supplementary Angles

Answer 10

add up to 180 degrees, don’t have to be next to each other

Question 11

Linear Pair

Answer 11

2 angles that are adjacent and supplementary

Question 12

Reflexive Property of Congruence

Answer 12

shows that any geometric figure is congruent to itself

Question 13

Symmetric Property of Congruence

Answer 13

if A=B, then B=A

Question 14

Segment Addition Postulate

Answer 14

if you’re given 2 points on a line segment, a 3rd point can lie on the line segment if the distances between the 2 points are AB+BC=AC

Question 15

Segment Bisector

Answer 15

a line, ray, or segment which cuts another line segment into 2 equal parts

Question 16

Midpoint

Answer 16

the middle of; the point halfway along

Question 17

Angle-Addition Postulate

Answer 17

if a point lies on the interior of an angle, that angle is the sum of 2 smaller angles with legs that go through the given point

Question 18

Perpendicular Lines

Answer 18

a line that divides a line segment into 2 equal parts that make right angles; each point on the perpendicular bisector is equidistant from the line segment’s endpoints

Question 19

Angle Bisector

Answer 19

bisector of an angle consists of all points that are equidistant from the sides of the angle

Question 20

Verticle angles are _______

Answer 20

equal

Question 21

Only if the 2 lines the transversal goes through are ______, corresponding angles are equal.

Answer 21

parallel

Question 22

What angle pairs are equal if the 2 lines the transversal goes through are equal?

Answer 22

corresponding, alternate interior, and alternate exterior

Question 23

What angle pairs are supplementary if the 2 lines the transversal goes through are equal

Answer 23

same side interior and same side exterior

Question 24

What is the symbol for parallel lines?

Answer 24

little triangles on the lines in the corresponding location