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Chord

Tangent

Secant

Inscribed Angle

A segment whose two endpoints are on the circle.

A line that contains exactly one point of a circle.

A line that contains two points of a circle.

An angle whose vertex is on the center of a circle and its si…

Chord

A segment whose two endpoints are on the circle.

Tangent

A line that contains exactly one point of a circle.

altitude

axis

base edges

composite solid

A line that goes from a vertex to the opposite side and is pe…

An imaginary straight line passing through the center of a sy…

lateral faces that intersect at the base

A three-dimensional figure that is composed of simpler figures.

altitude

A line that goes from a vertex to the opposite side and is pe…

axis

An imaginary straight line passing through the center of a sy…

polygon

perpendicular lines

right angle

rectangle

A closed plane shape with straight sides that are line segmen…

Lines that intersect to form right angles.

An angle that forms a square corner.

A quadrilateral with two pairs of parallel sides. A square is…

polygon

A closed plane shape with straight sides that are line segmen…

perpendicular lines

Lines that intersect to form right angles.

altitude

axis

base edges

composite solid

A line that goes from a vertex to the opposite side and is pe…

An imaginary straight line passing through the center of a sy…

lateral faces that intersect at the base

A three-dimensional figure that is composed of simpler figures.

altitude

A line that goes from a vertex to the opposite side and is pe…

axis

An imaginary straight line passing through the center of a sy…

angle

closed shape

line

line segment

a shape formed by two rays that share the same endpoint

a shape that begins and ends at the same point

a straight path extending in both directions with no endpoints

a part of a line that includes two endpoints and all the poin…

angle

a shape formed by two rays that share the same endpoint

closed shape

a shape that begins and ends at the same point

Isometric Views

Cross Section

Lateral Faces

Lateral Edges

Corner views of three-dimensional figures on two-dimensional…

The intersection of a solid and a plane

In a prism, faces that are not bases

In a prism, the intersection of two adjacent lateral faces

Isometric Views

Corner views of three-dimensional figures on two-dimensional…

Cross Section

The intersection of a solid and a plane

vertex

pyramid

base of pyramid

lateral edges

point where all lateral edges intersect

3-d figure with one base and lateral faces that intersect at…

bottom of the pyramid where all lateral faces intersect

segments where the lateral faces intersect

vertex

point where all lateral edges intersect

pyramid

3-d figure with one base and lateral faces that intersect at…

chord

secant line

tangent

concentric circle

a segment whose endpoints are on the circle

line that intersects a circle in two points

line thats in the plane of the circle that intersects at just…

coplanar circles that have a common center

chord

a segment whose endpoints are on the circle

secant line

line that intersects a circle in two points

Circle

Circles are Concentric iff

Radius

All radii of a circle are

the set of all points in a plane that are at a given distance…

they lie in the same plane and have the same center.

a line segment that connects the center of the circle to any…

equal.

Circle

the set of all points in a plane that are at a given distance…

Circles are Concentric iff

they lie in the same plane and have the same center.

circle

concentric

radius

all radii of a circle are...

the set of all points that are at a given distance from a giv…

circles are _____ iff they lie in the same plane and have the…

a line segment that connects the center of the circle to any…

...equal

circle

the set of all points that are at a given distance from a giv…

concentric

circles are _____ iff they lie in the same plane and have the…

Lateral Face of Right Prism

What does big (B) stand for?

How do you find big (B)?

If Lateral Faces are rectangular than.…

faces that are not bases

B = Area of base

Use the regular area formula depending on what polygon

.......Than it is a right prism (oblique prism)

Lateral Face of Right Prism

faces that are not bases

What does big (B) stand for?

B = Area of base

chord

secant

tangent of a circle

congruent circles

is a segment whose endpoints lie on a circle

is a line that intersects a circle at two points

is a line in the same plane as a circle that intersects it at…

two circles that have congruent radii

chord

is a segment whose endpoints lie on a circle

secant

is a line that intersects a circle at two points

cone

prism/bases

pyramid

regular

A ____________has a circular base and vertex that is not in t…

A ____________ is a polyhedron with two congruent faces, call…

A ______________ is a polyhedron in which the base is a polyg…

A ______________ pyramid has a regular polygon for a base and…

cone

A ____________has a circular base and vertex that is not in t…

prism/bases

A ____________ is a polyhedron with two congruent faces, call…

What is a transformation?

What is a Preimage?

What is an image?

What is an isometry?

A change in it's position, shape,or size.

It is the original figure.

It is the resulting figure.

A transformation in which preimage and image are congruent.

What is a transformation?

A change in it's position, shape,or size.

What is a Preimage?

It is the original figure.

Lateral Faces

Lateral Edges

Base Edges

Altitude

Faces that are not bases

Lateral faces intersect each other at lateral edges, parallel…

Where the lateral faces intersect

A perpendicular segment that joins the planes of the bases

Lateral Faces

Faces that are not bases

Lateral Edges

Lateral faces intersect each other at lateral edges, parallel…

interior of a circle

exterior of a circle

chord

secant

a segment whose endpoints lie on a circle.

the set of all points OUTSIDE of a circle

a segment whose endpoints lie ON a circle

a line that INTERSECTS a circle at two points

interior of a circle

a segment whose endpoints lie on a circle.

exterior of a circle

the set of all points OUTSIDE of a circle

Isometry

Reflection

Pre-image

Image

A transformation that does not change the shape or size of a…

A transformation that moves a figure by flipping it across a…

The original image in a transformation

The figure resulting from the transformation of a pre-image

Isometry

A transformation that does not change the shape or size of a…

Reflection

A transformation that moves a figure by flipping it across a…

Trapezoid

rectangle

square

rhombus

exactly 1 pair of opposite sides that are parallel. The lengt…

2 pairs of opposite sides that are parallel.... 2 pairs of sides…

2 pairs of opposite sides that are parallel.... 4 sides that are…

2 pairs of opposite sides that are parallel.... 4 sides that are…

Trapezoid

exactly 1 pair of opposite sides that are parallel. The lengt…

rectangle

2 pairs of opposite sides that are parallel.... 2 pairs of sides…

Polyhedrons

not polyhedrons

tetrahedron

Hexahedron (cube)

prisms and pyramids (solids with all flat faces that enclose…

cylinder, cone, and sphere

4 equilateral triangle faces

6 square faces

Polyhedrons

prisms and pyramids (solids with all flat faces that enclose…

not polyhedrons

cylinder, cone, and sphere

orthogonal drawing

corner view (Perspective Views)

polyhedron

faces

the two dimensional views of the top, left, front, and right…

What kind of view is this?

a solid with all flat surfaces that enclose a single region o…

each flat surface

orthogonal drawing

the two dimensional views of the top, left, front, and right…

corner view (Perspective Views)

What kind of view is this?

Name ______________________

12 - 1 "Tangent Lines"

Tangent line to a circle:

>Point of tangency

Geometry Notes: Chapter 12 "Circles"

...

Line in plane of circle that touches circle at one point.

point where circle and tangent intersect

Name ______________________

Geometry Notes: Chapter 12 "Circles"

12 - 1 "Tangent Lines"

...

Prism

Right rectangular prism

Oblique hexagonal prism

Altitude (of a prism)

Three-dimensional figure whose bases are polygons and sides a…

segment joining the 2 base planes and perpendicular to both,…

Prism

Three-dimensional figure whose bases are polygons and sides a…

Right rectangular prism

polyhedron

edge of a polyhedron

vertex of a polyhedron

regular polyhedron

a solid that is bounded by polygons, or faces, that enclose a…

a line segment formed by the intersection of two faces

a point where three or more edges meet

a polyhedron in which all of its faces are congruent regular…

polyhedron

a solid that is bounded by polygons, or faces, that enclose a…

edge of a polyhedron

a line segment formed by the intersection of two faces

adjacent arcs

arc

arc length

central angle

two arcs of the same circle that intersect at exactly one point

an unbroken part of a circle consisting of two points on the…

the distance along an arc measured in linear units

an angle whose vertex is the center of a circle

adjacent arcs

two arcs of the same circle that intersect at exactly one point

arc

an unbroken part of a circle consisting of two points on the…

interior of a circle

exterior of a circle

chord

secant

The set of all points inside the circle.

The set of all points outside the circle.

A segment whose endpoints lie on a circle

A line that intersects a circle at two points.

interior of a circle

The set of all points inside the circle.

exterior of a circle

The set of all points outside the circle.

12.1 interior of a circle

12.1 exterior of a circle

12.1 chord

12.1 secant

the set of all points inside the circle

the set of all points outside the circle

a segment whose endpoints lie on a circle

a line that intersects a circle at two points

12.1 interior of a circle

the set of all points inside the circle

12.1 exterior of a circle

the set of all points outside the circle

chord

circle

inscribed

angle

A segment whose endpoints lie on a circle

The set of all points in a plane that are the same distance f…

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

A figure formed by two rays with a common endpoint

chord

A segment whose endpoints lie on a circle

circle

The set of all points in a plane that are the same distance f…

Polyhedron

Faces of a polyhedron

Edge

Vertex

A solid that is bounded by polygons, called faces, that enclo…

A line segment formed by the intersection of two faces

A point where three or more edges meet

Polyhedron

A solid that is bounded by polygons, called faces, that enclo…

Faces of a polyhedron

Polyhedron

Faces of a polyhedron

Edge

Vertex

A solid that is bounded by polygons, called faces, that enclo…

A line segment formed by the intersection of two faces

A point where three or more edges meet

Polyhedron

A solid that is bounded by polygons, called faces, that enclo…

Faces of a polyhedron

Polyhedron

Faces of a polyhedron

Edge

Vertex

A solid that is bounded by polygons, called faces, that enclo…

A line segment formed by the intersection of two faces

A point where three or more edges meet

Polyhedron

A solid that is bounded by polygons, called faces, that enclo…

Faces of a polyhedron

orthogonal drawing

corner view (Perspective Views)

polyhedron

faces

the two dimensional views of the top, left, front, and right…

What kind of view is this?

a solid with all flat surfaces that enclose a single region o…

each flat surface

orthogonal drawing

the two dimensional views of the top, left, front, and right…

corner view (Perspective Views)

What kind of view is this?