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G Shapes & Constructions
Contributed by: Cason

perpendicular lines

skew lines

 parallel lines 

intersecting lines

If two lines lie in the same plane and DO NOT intersect,

they are called

The first step to copying angle A  to make angle B is to

copy the ray.

make a new ray somewhere else on the paper.

swing equal setting arcs from points A and B.

swing different setting arcs from points A and B.

copy the ray.

make a new ray somewhere else on the paper.

swing equal setting arc from point B.

swing different setting arc from point B.

The next step to copying angle A  to make angle B is to

copy the ray.

Open the compass with one end on point C and one

    on point D

Open the compass with one end on point C and one

    on point A

swing a same setting arc from point E intersecting the

    arc

The next step to copying angle A  to make angle B is to

C
D

E

copy the ray.

Open the compass with one end on point C and one

    on point D

Open the compass with one end on point C and one

    on point A

swing a same setting arc from point E intersecting the

    arc

After opening the compass to measure the distance from

point D to point C...

C
D

E

dilate

cut in half

copy

rotate

To bisect  means to
To bisect     ABC the first step would be to

swing an arc from point B

swing an arc from point A

swing an arc from point C

create a new ray

swing a same setting arc from point E intersecting the

    arc

After opening the compass to measure the distance from

point D to point C and copying this measurement at

point E to the arc and marking an arc...

Draw a ray from point B to the intersection of the arcs

Open the compass with one end on point C and one

    on point D

Open the compass with one end on point C and one

    on point A

C
D

E

To create a line perpendicular to AB through point C,

first create a line segment on AB to bisect by

swinging an arc from point A

swinging an arc from point B

swinging an arc from point C

draw line segments to connect points A, B, and C

To create a line perpendicular to AB through point C,

first create a line segment on AB to bisect by

swinging an arc from point C as below.  Then...

swing equal setting arcs from points A and B

swing equal setting arcs from points D and E

swinging an arc from point C

draw line segments to connect points A, B, and C

To create a line perpendicular to AB through point C,

the only step left in the drawing below is to

Swing equal setting arcs from points A and B

connect points A, B, and C

swinging an arc from point C

draw a line where the second and third arcs intersect

Copying an angle to create alternate interior, alternate

exterior, or corresponding angles will create

a midpoint

a perpendicular bisector

perpendicular lines

parallel lines

Opening a compass to place an end on each of two

points will measure the length of the segment between

the points to allow us to easily

 copy this segment elsewhere on the paper

bisect this segment

copy an angle

construct parallel lines

Constructing perpendicular lines is based on

bisecting a line segment

bisecting an angle

copying a line

copying an angle

a ray

an angle

a line

a midpoint

What is created when a line segment is folded in half

so that endpoints touch?

A

B

perpendicular lines

skew lines

 parallel lines 

intersecting lines

If two lines intersect at right angles, they are called

a line parallel to AB

a line perpendicular to AB

a regular triangle

a regular quadrilateral

A line is drawn connecting points A and C.  This would be

the first step in constructing

a line parallel to AB

a line perpendicular to AB

a regular triangle

a regular quadrilateral

Swinging an arc from point C across line AB would be the

first step in constructing

Swinging an equal setting arc from the top (or bottom) of

a circle as the below picture is the first step to

constructing a

regular quadrilateral

perpendicular bisector

midpoint

 regular triangle

Swinging an arc from both endpoints of a diameter of a

circle to just the other side of the midpoint as below is

the beginning to creating a

regular quadrilateral

set of parallel lines

midpoint

 regular triangle
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