Geometry Final Review

Geometry Final Review

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Section 1

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inductive reasoning

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Last updated

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Date created

Mar 1, 2020

Cards (85)

Section 1

(50 cards)

inductive reasoning

Front

reasoning based on patterns

Back

space

Front

the set of all possible points

Back

supplementary

Front

two angles whose measures have a sum of 180 degrees

Back

legs

Front

two congruent sides of an isosceles triangle

Back

median of a trapezoid

Front

the segment that joins the midpoints of the legs of a trapezoid

Back

sine ratio

Front

opposite leg / hypotenuse (in a right triangle)

Back

similar

Front

triangles whose corresponding sides are proportional and corresponding angles are congruent

Back

tangent ratio

Front

opposite leg / adjacent leg (in a right triangle)

Back

obtuse

Front

an angle with a measure between 90 and 180 degrees

Back

segment addition postulate

Front

If B is between A and C, then AB + BC = AC

Back

complementary angles

Front

angles whose sum is 90 degrees

Back

circle

Front

set of points in a plane that are a given distance from a given point in the plane

Back

square

Front

quadrilateral with four congruent sides and four congruent angles

Back

scalene

Front

a triangle with no congruent sides

Back

Pythagorean Theorem

Front

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

Back

cosine ratio

Front

adjacent leg / hypotenuse (in a right triangle)

Back

chord

Front

a segment with endpoints on the circle

Back

central angle

Front

an angle with its vertex at the center of the circle

Back

secant

Front

a line that contains a chord

Back

tangent line

Front

line in the plane of a circle that intersects the circle in exactly one point

Back

diameter

Front

chord that passes through the center of the circle

Back

acute angle

Front

angle with a measure less than 90 degrees

Back

angle bisector

Front

a ray that divides an angle into two congruent angles

Back

segment bisector

Front

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

Back

altitude of a triangle

Front

perpendicular segment from a vertex of a triangle to the opposite side

Back

perpendicular lines

Front

two lines that intersect to form right angles

Back

parallel lines

Front

coplanar lines that do not intersect

Back

isosceles triangle

Front

a triangle with 2 congruent sides

Back

line segment

Front

part of a line with two endpoints

Back

inscribed angle

Front

an angle that has its vertex on the circle and its sides contain chords of the circle

Back

adjacent angles

Front

two angles in a plane that have a common vertex and a common side, but no common interior points

Back

hypotenuse

Front

the side opposite of the right angle in a right triangle

Back

angle

Front

figure formed by two rays with the same endpoint

Back

postulate

Front

a statement that is accepted as true without proof

Back

midpoint

Front

point that divides a segment into two congruent segments

Back

rhombus

Front

quadrilateral with four congruent sides

Back

collinear

Front

points that lie on the same line

Back

regular polygon

Front

a polygon that is both equilateral and equiangular

Back

triangle

Front

figure formed by three segments joining three noncollinear points

Back

equilateral triangle

Front

a triangle with three congruent sides

Back

theorem

Front

a statement that is proven

Back

median of a triangle

Front

a segment from a vertex of a triangle to the midpoint of the opposite side

Back

conditional statement

Front

any statement that can be written in an if-then form

Back

sphere

Front

set of points in space that are a given distance from a given point

Back

concentric circles

Front

circles that lie on the same plane and have the same center but different radii

Back

parallelogram

Front

quadrilateral with both pairs of opposite sides parallel

Back

skew lines

Front

noncoplanar lines

Back

semicircle

Front

an arc that has a measure of 180 degrees

Back

trapezoid

Front

quadrilateral with exactly one pair of parallel sides

Back

coplanar

Front

points and lines on the same plane

Back

Section 2

(35 cards)

angle addition postulate

Front

this diagram is an example of:

Back

same-side interior angles

Front

two interior angles on the same side of the transversal

Back

polygon

Front

figure formed by three or more non collinear segments.

Back

perpendicular bisector

Front

line that is perpendicular to a segment at its midpoint

Back

(n-2)180

Front

sum of the angles of a convex polygon with n sides

Back

180

Front

sum of the angles of a triangle

Back

decagon

Front

polygon with 10 sides

Back

octagon

Front

polygon with 8 sides

Back

proportion

Front

two equal ratios

Back

biconditional statement

Front

a statement that contains the words "if and only if"

Back

straight angle

Front

angle with a measure of 180 degrees

Back

ratio

Front

comparison of two or more numbers

Back

bases

Front

parallel sides of a trapezoid

Back

alternate-interior angles

Front

two nonadjacent interior angles on opposite sides of the transversal

Back

minor arc

Front

an arc with a measure less than 180 degrees

Back

pentagon

Front

polygon with 5 sides

Back

major arc

Front

an arc with a measure greater than 180 and less than 360 degrees

Back

corresponding angles

Front

two angles in corresponding positions relative to the points of intersection between a transversal an two or more coplanar lines

Back

congruent

Front

objects having the same size and shape

Back

converse statement

Front

when the hypothesis and conclusion of a conditional statement are reversed

Back

scale factor

Front

ratio of the side lengths between similar polygons

Back

vertical angles

Front

two angles such that the sides are opposite rays

Back

transversal

Front

line that intersects two or more coplanar lines

Back

triangle inequality theorem

Front

the sum of the length of any two sides of a triangle is greater than the length of the third side

Back

isosceles trapezoid

Front

trapezoid in which the legs are congruent

Back

plane

Front

flat surface that has no thickness and goes in all directions forever

Back

opposite rays

Front

two rays that have the same endpoint and go in opposite directions

Back

right angle

Front

angle with a measure of 90 degrees

Back

ray

Front

part of a line with one endpoint and going in one direction forever

Back

hypothesis

Front

"If" part of a conditional statment

Back

equiangular triangle

Front

triangle in which all the angles are congruent

Back

rectangle

Front

quadrilateral with four right angles

Back

deductive reasoning

Front

reasoning logically from definitions, postulates, and theorems

Back

conclusion

Front

"Then" part of a conditional statement

Back

SSS, SAS, ASA, AAS, HL

Front

5 ways to prove that triangles are congruent

Back