# Study sets matching "geometry"

Study sets

Diagrams

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Transversal

alternate interior angles

Same-side interior angles

Corresponding angles

a line that intersects two coplanar lines in two points

nonadjacent interior angles that lie on opposite sides of the…

Lie on the same side of the transversal T and between L and M

Angles that lie on the same side of the transversal T and in c…

Transversal

a line that intersects two coplanar lines in two points

alternate interior angles

nonadjacent interior angles that lie on opposite sides of the…

scalene triangle

isosceles triangle

equalateral triangle

acute triangle

a triangle with no congruent sides

A triangle that has 2 equal sides. Properties include: 2 congr…

A triangle with three congruent sides. Properties include: 2 c…

A triangle with 3 acute angles (less than 90)

scalene triangle

a triangle with no congruent sides

isosceles triangle

A triangle that has 2 equal sides. Properties include: 2 congr…

Which set of equivalent measures does n…

What will always create a congruent tri…

Which centers of a triangle must always…

Which center is the triangle?

Angle-angle-angle

Side-angle-side

Centroid and incenter

Orthocenter

Which set of equivalent measures does n…

Angle-angle-angle

What will always create a congruent tri…

Side-angle-side

acute triangle

obtuse triangle

right triangle

equiangular triangle

What is a triangle with 3 acute angles called

What is a triangle with one obtuse angle called

What is a triangle with one right angle called

What is a triangle with 3 congruent angles called

acute triangle

What is a triangle with 3 acute angles called

obtuse triangle

What is a triangle with one obtuse angle called

Adjacent angles

Complementary angles

supplementary angles

linear pair

Two angles having the same vertex and sharing the same side

Two angles whose sum equals 90 degrees

two angles whose measures have a sum of 180 degrees

Two angles that are adjacent and sum to 180 degrees

Adjacent angles

Two angles having the same vertex and sharing the same side

Complementary angles

Two angles whose sum equals 90 degrees

Corollary 1

Corollary 2

Corollary 3

Corollary 4

If two angles of one triangle are congruent to two angles of a…

Each angle of an equiangular triangle has measure 60.

In a triangle, there can be at most one right angle or obtuse…

The acute angles of a right angle are complementary.

Corollary 1

If two angles of one triangle are congruent to two angles of a…

Corollary 2

Each angle of an equiangular triangle has measure 60.

volume

cohesive

adhesive

linen

a measure of how much something takes up

the tendency of molecules of a substance to be attracted to ea…

the tendency of molecules of different substances to be attrac…

cloth, yarn, or thread made from flax

volume

a measure of how much something takes up

cohesive

the tendency of molecules of a substance to be attracted to ea…

Segment Addition postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal then the pair o…

Parallel Lines

Parallel Planes

Skew Lines

Transversal

Two coplanar lines that do not intersect; Arrows are used to i…

Planes that do not intersect. Example: plane J ‖ plane K

Non-coplanar lines that do no intersect.

A line that intersects two or more lines. Example: Line t

Parallel Lines

Two coplanar lines that do not intersect; Arrows are used to i…

Parallel Planes

Planes that do not intersect. Example: plane J ‖ plane K

parallel lines

perpendicular lines

skew lines

transversal

2 lines that lie in the same place and do not intersect

lines that intersect to form a right angle

noncoplanar lines; they do not intersect

line that intersects 2 or more coplanar lines at different poi…

parallel lines

2 lines that lie in the same place and do not intersect

perpendicular lines

lines that intersect to form a right angle

Perpendicular bisector

Skew lines

Alternate interior angles

Transversal

A line that is perpendicular to a segment at its midpoint

Lines that do not intersect and are not coplanar

Two angles that are formed by two line and a transversal that…

A line that intersects two or more coplanar lines at different…

Perpendicular bisector

A line that is perpendicular to a segment at its midpoint

Skew lines

Lines that do not intersect and are not coplanar

transversal

corresponding angles

alternate interior angles

same side interior angles

a line that intersects to coplanar lines at two distinct point…

angles on the same side of the transversal. One angle is an in…

the "inside" angles not adjacent to each other on opposite sid…

the "inside" angles next to each other on the same side of the…

transversal

a line that intersects to coplanar lines at two distinct point…

corresponding angles

angles on the same side of the transversal. One angle is an in…

Exterior Angle Sum Theorem

Triangle Sum Theorem

Theorem 4-2

Exterior Angle

Each set of exterior angles of a polygon add up to 360 .

The interior angles of a triangle add up to 180 .

The acute angles in a right triangle are always complementary.

The angle formed by one side of a polygon and the extension of…

Exterior Angle Sum Theorem

Each set of exterior angles of a polygon add up to 360 .

Triangle Sum Theorem

The interior angles of a triangle add up to 180 .

Postulate 13

Postulate 14

Postulate 15

Theorem 3.1

Parallel postulate: If there is a line and a point not on the…

Perpendicular postulate: If there is a line and a point not on…

Corresponding angles postulate: If two parallel lines are cut…

Alternate interior angles theorem: If two parallel lines are c…

Postulate 13

Parallel postulate: If there is a line and a point not on the…

Postulate 14

Perpendicular postulate: If there is a line and a point not on…

IP Theory

Knowledge

Learned

Process of learning

Theory of how we learn

information acquired through education and life experiences, p…

Encoded and stored in LTM

How kids take in info and process it in working memory and sto…

IP Theory

Theory of how we learn

Knowledge

information acquired through education and life experiences, p…

Correct use of Law of Syllogism

Biconditional statement

Converse

Inverse

Given: If it is autumn, the leaves will fall off the trees... If…

You will be happy, if and only if, you pass the geometry test

If a=c, then a=b, b=c

If a/= b, b/= c, then a/= c

Correct use of Law of Syllogism

Given: If it is autumn, the leaves will fall off the trees... If…

Biconditional statement

You will be happy, if and only if, you pass the geometry test

Congruent Triangles

Third Angle Theorem

Reflexive Property of Congruence

Symmetric Property of Congruence

Two triangles are congruent if the three corresponding angles…

If two angles in one triangle are congruent to two angles in a…

Any shape is congruent to itself.

If two shapes are congruent, the statement can be written with…

Congruent Triangles

Two triangles are congruent if the three corresponding angles…

Third Angle Theorem

If two angles in one triangle are congruent to two angles in a…

Inductive Reasoning

Conjecture

Counterexample

Statement

The kind of reasoning based on observed patterns rather than p…

A concluding statement based on inductive reasoning

A false example used to disprove a conjecture or a statement.…

A sentence that can be true or false.

Inductive Reasoning

The kind of reasoning based on observed patterns rather than p…

Conjecture

A concluding statement based on inductive reasoning

Chemical Bond

Ionic bonding

Covalent bonding

Nonpolar-covalent bond

the attractive force that holds atoms or ions together

Chemical bonding that results from the electrical attraction b…

A chemical bond resulting from the sharing of an electron pair…

a covalent bond in which the bonding electrons are equally att…

Chemical Bond

the attractive force that holds atoms or ions together

Ionic bonding

Chemical bonding that results from the electrical attraction b…