#### Study sets matching "geometry chapter 12"

#### Study sets matching "geometry chapter 12"

Polyhedron

Faces

Edge

Vertex

a solid that is made by polygons

flat enclosed sides that make up a shape

Where 2 faces meet

Corner

Polyhedron

a solid that is made by polygons

Faces

flat enclosed sides that make up a shape

Chord

Inscribed Angle

Intercepted Arc

Tangent Line

A line segment on the interior of a circle.

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

The arc that lies in the interior of an inscribed angle and ha…

A line that intersects the circle in exactly one point

Chord

A line segment on the interior of a circle.

Inscribed Angle

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

Polyhedron

Faces

Edge

Vertex

a solid that is made by polygons

flat enclosed sides that make up a shape

Where 2 faces meet

Corner

Polyhedron

a solid that is made by polygons

Faces

flat enclosed sides that make up a shape

What is a tangent to a circle?

What is the distance from the center to…

What is the perpendicular distance from…

Theorem 10-6: The area of a regular pol…

a line that intersects the circle in exactly one point

radius

apothem

half; apothem; perimeter

What is a tangent to a circle?

a line that intersects the circle in exactly one point

What is the distance from the center to…

radius

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

Chord

Circumscribed about

Inscribed angle

Inscribed in

Segments with endpoints on a circle

triangle, polygon outside of circle, each side is tangent to t…

the vertex is on a circle and sides of the angle are chords of…

triangle, polygon inside of circle, all of the vertices lie on…

Chord

Segments with endpoints on a circle

Circumscribed about

triangle, polygon outside of circle, each side is tangent to t…

isometric views

Know how to use isometric dot paper to…

cross section

there are 3 types of cross sections

or corner views, where 3D geometric solids are represented on…

Know this!

the intersection of a solid and a plane

1. Horizontal cut 2. Angled cut 3. vertical cut. This is an ex…

isometric views

or corner views, where 3D geometric solids are represented on…

Know how to use isometric dot paper to…

Know this!

Solid

Ployhedron

Flat

Edge

3D figure composed of flat and curved surfaces

Solid with all flat surfaces that encloses single region of sp…

Flat surface

Line segment at which 2 faces intersect

Solid

3D figure composed of flat and curved surfaces

Ployhedron

Solid with all flat surfaces that encloses single region of sp…

endpoint

line segment

line

ray

a point at the end of a line segment or ray

a part of a line that includes two endpoints

a straight path that extending in both directions with no end…

a straight path that starts at one point and continues forever…

endpoint

a point at the end of a line segment or ray

line segment

a part of a line that includes two endpoints

Polyhedron

Faces

Edge

Vertex

a solid that is made by polygons

flat enclosed sides that make up a shape

Where 2 faces meet

Corner

Polyhedron

a solid that is made by polygons

Faces

flat enclosed sides that make up a shape

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

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 o…

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 o…

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 p…

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.

Isometric Views

Cross Section

Lateral Faces

Lateral Edges

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

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 p…

Cross Section

The intersection of a solid and a plane

polygon

perpendicular lines

right angle

rectangle

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

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 segment…

perpendicular lines

Lines that intersect to form right angles.

polyhedron

vertex, edge, & face of polyhedron

polyhedra

prism

a solid figure with only flat sides

solids that have flat faces

a polyhedron that has at least one pair of opposite sides that…

polyhedron

a solid figure with only flat sides

vertex, edge, & face of polyhedron

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

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 point…

angle

a shape formed by two rays that share the same endpoint

closed shape

a shape that begins and ends at the same point

Tangent To A Circle

Point of Tangency

Theorem 12-1

Theorem 12-2

A line in the plane of the circle that intersects the circle i…

Point where the circle and tangent intersect

If a line is tangent to a circle, then the line is perpendicul…

If a line in the plane of a circle is perpendicular to a radiu…

Tangent To A Circle

A line in the plane of the circle that intersects the circle i…

Point of Tangency

Point where the circle and tangent intersect

cone

prism/bases

pyramid

regular

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

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

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

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

cone

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

prism/bases

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

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 point…

angle

a shape formed by two rays that share the same endpoint

closed shape

a shape that begins and ends at the same point