#### Study sets matching "geometry honors angle"

#### Study sets matching "geometry honors angle"

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

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…

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.

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

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.

Arc

Intercepted arc

Minor Arc

Major Arc

Points on the circle and in between two identified points

Created by an angle intersecting the circle

Arc created by an angle less than 180 degrees

Arc created by an angle over than 180 degrees

Arc

Points on the circle and in between two identified points

Intercepted arc

Created by an angle intersecting the circle

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

Complementary Angles

Supplementary Angles

Vertical Angles

Linear Pair

Two angles whose sum is 90 degrees.

Angles whose sum is 180 degrees.

A pair of opposite congruent angles formed by intersecting lin…

A pair of adjacent angles whose non-adjacent sides form opposi…

Complementary Angles

Two angles whose sum is 90 degrees.

Supplementary Angles

Angles whose sum is 180 degrees.

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