Midterm math study guide

Question 1

a two-dimensional pattern that you can fold to form a three dimensional figure

Answer 1

net

Question 2

you can see the top, front, and side of an object in the same drawing

Answer 2

isometric drawing

Question 3

shows the top view, front view, and right-side view of a three dimensional figure

Answer 3

orthographic drawing

Question 4

indicates a location and has no size

Answer 4

point

Question 5

a straight path that extends in two opposite directions without end and has no thickness. Infinitely many points

Answer 5

line

Question 6

a flat surface that extends without end and has no thickness. It has infinitely many lines

Answer 6

plane

Question 7

the part of a line that consists of two points, called endpoints, and all points between them

Answer 7

segment

Question 8

part of a line that consists of one endpoint and all the points of the line on one side of the endpoint

Answer 8

ray

Question 9

the set of points two or more geometric figures have in common

Answer 9

intersection

Question 10

the distance and direction of a point from the origin of a number line

Answer 10

coordinate

Question 11

the absolute value of the difference of the coordinates of the points

Answer 11

distance

Question 12

the point that divides a segment into two congruent segments

Answer 12

midpoint

Question 13

a line, segment, or ray that intersects a segment at its midpoint

Answer 13

segment bisector

Question 14

two rays that have the same endpoint

Answer 14

angle

Question 15

the endpoint of the two rays that form an angle

Answer 15

Vertex

Question 16

angles that measures below 90

Answer 16

acute

Question 17

angle that measures 90

Answer 17

right angle

Question 18

angle that measures above 90

Answer 18

obtuse

Question 19

angle that measures 180

Answer 19

straight

Question 20

equal

Answer 20

congruent

Question 21

two coplanar angles that have a common side and vertex but no common interior points

Answer 21

adjacent angles

Question 22

two angles whose sides form two pairs of opposite rays

Answer 22

vertical angles

Question 23

the sum of two angles equal 90

Answer 23

complementary angle

Question 24

the sum of two angles equal 180

Answer 24

supplementary

Question 25

a ray that divides an angle into two congruent angles

Answer 25

angle bisector

Question 26

lines that intersect and form right angles

Answer 26

perpendicular lines

Question 27

a line, segment, or ray that is perpendicular to the segment at its midpoint

Answer 27

perpendicular bisector

Question 28

sum of lengths of a figure's sides

Answer 28

perimeter

Question 29

the amount of space a flat object takes up in squares

Answer 29

area

Question 30

a type of reasoning that reaches conclusions based on a pattern of specific examples or past events

Answer 30

inductive reasoning

Question 31

a conclusion reached by using inductive reasoning

Answer 31

conjecture

Question 32

an example showing that a statement is false

Answer 32

counterexample

Question 33

an if-then statement

Answer 33

conditional

Question 34

the "if" in an if-then statement

Answer 34

hypothesis

Question 35

the "then" in an if-then statement

Answer 35

conclusion

Question 36

the opposite

Answer 36

negation

Question 37

reversing the hypothesis and conclusion of a conditional

Answer 37

converse

Question 38

negating the hypothesis and conclusion of a converse

Answer 38

contrapositive

Question 39

the combination of a true conditional and its true converse. uses "if and only if"

Answer 39

biconditional

Question 40

a=a

Answer 40

reflexive property

Question 41

if a=b, b=a

Answer 41

symmetric property

Question 42

If a=b and b=c, a=c

Answer 42

transitive property

Question 43

using multiplication to distribute "a" to each term of the sum or difference within the parentheses

Answer 43

distributive property

Question 44

two lines that lie in the same plane and do not intersect

Answer 44

parallel lines

Question 45

lines that do not lie in the same plane and do not intersect

Answer 45

skew lines

Question 46

a line that intersects two or more lines at distinct points

Answer 46

transversal

Question 47

angles that lie on the same side of the transversal and in corresponding positions

Answer 47

corresponding angles

Question 48

polygons that have corresponding sides congruent and corresponding angles congruent

Answer 48

congruent ploygons

Question 49

the side opposite opposite the right angle in a right triangle

Answer 49

hypotenuse

Question 50

a sequence of never-ending geometric patterns

Answer 50

tessallation

Question 51

Theorem 2.1: Vertical Angles Theorem

Answer 51

vertical angels are congruent

Question 52

Theorem 3.8: parallel lines

Answer 52

If two lines are parallel to the same line, then they are parallel to each other

Question 53

Theorem 3.10: Perpendicular Transversal Theorem

Answer 53

In a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other

Question 54

Theorem 3.11: Triangle Angle-Sum Theorem

Answer 54

The sum of the measures of the angles of a triangle is 180.

Question 55

Theorem 4-1: Third Angles Theorem

Answer 55

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent

Question 56

Theorem 4-2: Angle-Angle-Side Theorem

Answer 56

If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent

Question 57

Theorem 4-3: Isosceles Triangle Theorem

Answer 57

If two sides of a triangle are congruent, then the angles opposite those sides are congruent

Question 58

Theorem 4-4: Converse of the Isosceles Triangle Theorem

Answer 58

If two angles of a triangle are congruent, then the sides opposite those angles are congruent

Question 59

Theorem 4-5: perpendicular bisector

Answer 59

If a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base

Question 60

Theorem 4-6: Hypotenuse-Leg Theorem

Answer 60

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent

Question 61

Postulate 4-1: Side-Side-Side Postulate

Answer 61

If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent

Question 62

Postulate 4-2: Side-Angle-Side Postulate

Answer 62

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent

Question 63

Postulate 4-3: Angle-Side-Angle Postulate

Answer 63

If two angles and the included side of one triangle are congruent to the two angles and the included angle of another triangle, then the two triangles are congruent.