# Study sets matching "geometry honors angle"

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complementary angles

supplementary angles

congruent

vertical angles

two angles whose measures have a sum of 90 degrees

two angles whose measures have a sum of 180 degrees

two angles that have equal measure

two opposite angles formed by two intersecting lines

complementary angles

two angles whose measures have a sum of 90 degrees

supplementary angles

two angles whose measures have a sum of 180 degrees

inscribed angle

theorem 9-7

corollary 1

corollary 2

an angle whose vertex is on a circle and whose sides contain c…

the measure of an inscribed angle is equal to half the measure…

if 2 inscribed angles intercept the same arc, then the angles…

an angle inscribed in a semicircle is a right angle

inscribed angle

an angle whose vertex is on a circle and whose sides contain c…

theorem 9-7

the measure of an inscribed angle is equal to half the measure…

Point

Line

Plane

Collinear Points

Undefined term... Has no dimensions ... Represented by a small dot

Undefined term... Extends in one dimension ... Straight w/o curve

Undefined term ... Extends in two dimensions ... Represented by a sh…

Points that lie on the same line

Point

Undefined term... Has no dimensions ... Represented by a small dot

Line

Undefined term... Extends in one dimension ... Straight w/o curve

Point

Line Segment

Line

Ray

Has no size... Name with a capital letter... Name a location (x,y)

Has 2 endpoints... Makes a straight line (collinear)... Can measure

Straight, continous arrangements of infinitely many points... Inf…

Begins at a point and extends infinitely in one direction

Point

Has no size... Name with a capital letter... Name a location (x,y)

Line Segment

Has 2 endpoints... Makes a straight line (collinear)... Can measure

Definition of Congruence

Definition of Right Angle

Definition of Straight Angle

collinear

If two segments or angles are congruent, then they are equal i…

If an angle's measure is 90 degrees, then it is a right angle.

If an angle's measure is 180 degrees, then it is a straight an…

points that lie on the same line

Definition of Congruence

If two segments or angles are congruent, then they are equal i…

Definition of Right Angle

If an angle's measure is 90 degrees, then it is a right angle.

Angle

Sides

Vertex

Acute Angle

The space (usually measured in degrees) between two intersecti…

A line bounding a plane figure.

A meeting point of two lines that form an angle.

An angle smaller than a right angle (it is less than 90 degree…

Angle

The space (usually measured in degrees) between two intersecti…

Sides

A line bounding a plane figure.

angle

interior

exterior

congruent angles

A/n ______ is made up of two rays that share a common endpoint…

The space inside an angle.

The space outside the angle.

Angles with the same measure.

angle

A/n ______ is made up of two rays that share a common endpoint…

interior

The space inside an angle.

Central Angle

Inscribed Angles

Vertical Angles

Exterior Angles

Angles AOC and arc AC are congruent

Angle ABC is 1/2 of arc AC

Remember, you are finding the average of the arcs!

Remember, you are subtracting the arcs and dividing by 2!

Central Angle

Angles AOC and arc AC are congruent

Inscribed Angles

Angle ABC is 1/2 of arc AC

central angle of a circle

measure of minor arc

arc measure of a semicircle

Postulate 16: Arc Addition Postulate

an angle with its vertex at the center of the circle

measure of its central angle

180º

the measure of the arc formed by two adjacent arcs is the sum…

central angle of a circle

an angle with its vertex at the center of the circle

measure of minor arc

measure of its central angle

parallel lines

congruent objects

vertical angles

perpendicular lines

two lines that do not intersect and are coplanar; have the sam…

two objects that have exactly the same size and shape; pairs o…

two nonadjacent angles formed by two intersecting lines

two lines that intersect to form a right angle

parallel lines

two lines that do not intersect and are coplanar; have the sam…

congruent objects

two objects that have exactly the same size and shape; pairs o…

triangle angle sum theorum

right triangle corollary

angle corollary

exterior angle

the sum of the interior angles of a triangle is 180 degrees

in a right triangle, the two acute angles are complementary

there can be at most one right or one obtuse angle in a triang…

an angle formed by extending the side of the triangle

triangle angle sum theorum

the sum of the interior angles of a triangle is 180 degrees

right triangle corollary

in a right triangle, the two acute angles are complementary

Ajacent Angles

Vertical Angles

Linear Pair

Supplementary Angles

2 angles in the same plane, vertex common, and a common side,…

2 non-adjacent angles formed by 2 intersecting lines (always a…

A pair of 2 adjacent angles with non-common sides that are opp…

2 positive angles that add up to 180°

Ajacent Angles

2 angles in the same plane, vertex common, and a common side,…

Vertical Angles

2 non-adjacent angles formed by 2 intersecting lines (always a…

linear: 180

trigonal planar: 120

tetrahedral: 109.5

bent: 120

Lone Pairs: 0, Bonded Atoms: 2

Lone Pairs: 0, Bonded Atoms: 3

Lone Pairs: 0, Bonded Atoms: 4

Lone Pairs: 1, Bonded Atoms: 2

linear: 180

Lone Pairs: 0, Bonded Atoms: 2

trigonal planar: 120

Lone Pairs: 0, Bonded Atoms: 3

Parallel lines

Skew lines

Parallel planes

Transversal

Lines that are coplanar and do not intersect

Lines that are not co-planner and do not intersect

Planes that do not intersect

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

Parallel lines

Lines that are coplanar and do not intersect

Skew lines

Lines that are not co-planner and do not intersect

adjacent angles

linear pair

complementary angles

if an angle is x, the it's complement i…

- 2 angles in the same plane with a common vertex and a common…

- a pair of adjacent angles whose non common sides are opposit…

- 2 angles whose sum is 90 degrees

- 90-x

adjacent angles

- 2 angles in the same plane with a common vertex and a common…

linear pair

- a pair of adjacent angles whose non common sides are opposit…

Parallel lines (ll)

Perpendicular lines (⊥)

Skew lines

Parallel planes

- parallel lines are coplanar and do not intersect

- perpendicular lines intersect at 90 ° angles

- skew lines are not coplanar, not parallel, and do notn inter…

- planes that do not intersect

Parallel lines (ll)

- parallel lines are coplanar and do not intersect

Perpendicular lines (⊥)

- perpendicular lines intersect at 90 ° angles

Angle

Measure of an angle

Congruent Angles

Acute angle

The union of two noncollinear rays, line, or segments

The number of degrees between the 2 sides of an angle

Two angles are congruent iff they have the same measurement

An angle whose measure <90 degrees

Angle

The union of two noncollinear rays, line, or segments

Measure of an angle

The number of degrees between the 2 sides of an angle

Definition of midpoint

Definition of bisector

Midpoint Theorem

Segment Addition Postulate

If T is the midpoint of line segment CE, then CT = CE

If ray TP is the bisector of <RTE, then m<RTP = m<PTE

If T is the midpoint of line segment CE, then TE = 1/2 CE

CT + TE = CE

Definition of midpoint

If T is the midpoint of line segment CE, then CT = CE

Definition of bisector

If ray TP is the bisector of <RTE, then m<RTP = m<PTE