Constructions in Geometry

Parallel Line

Perpendicular Bisector
This is a construction of:
Perpendicular Lines
Median
The lines meet at a 180 degree angle.
The lines are parallel to each other.
The lines are congruent to each other.
The lines meet at a 90 degree angle.

The small box at the

intersection of the two

lines means what?

Draw an arc through point R.

Draw a point anywhere on the line.

Place your compass on point R and draw an arc that

intersects the line twice.

What is the first step in

constructing a line that

is perpendicular to the

given line that goes

through point R?

The next step is not here.
Connect point D to point A and point E to point A.
Construct the perpendicular bisector of segment DE.
Draw an arc from point E

What is the next step in

constructing a line that

is perpendicular to the

given line that goes through

point A?

Find the midpoint of segment TU and label it M.

Draw a line through the two intersections of the two

arcs that goes through point S.

Draw a line that goes through points S and U.
The next step is not here.

What is the next step in

constructing a line that

is perpendicular to the

given line that goes

through point S?

A 90 degree angle box at the intersection point.
Arrows on the lines.
Another point on the line that point Q lies on.
Answer is not here.

What is this construction

drawing missing?

Inscribed Circle

Circumscribed Circle

This picture represents the

construction of what?

Medians

Altitudes
circumcenter
incenter

The intersection of the

lines that are in green is

called the...

orthocenter
centroid
Perpendicular Bisectors each side of the triangle.
Angle Bisectors of each angle of the triangle.
Medians of each side of the triangle.

Altitudes of each side of the triangle.

The circumcenter comes

from the construction of

which one of the following:

Perpendicular Lines
Median from point E.
Altitude from point E.
Answer not here.

This picture represents the

construction of which term:

Fill in the blank with the correct word in the following

statement:

In a triangle, a perpendicular line segment from a

vertex to the opposite side is called a _____________.

Median
Circumcenter
Altitude
Incenter

In a triangle, a line segment from a vertex to the

midpoint of the opposite side is called a(n) _________.

Median

Fill in the blank with the correct word in the following

statement:

Circumcenter
Incenter
Altitude
Circumcenter
centroid
Orthocenter
Incenter

The intersection of the

green rays in the picture

to the left is called what?

Medians

Altitudes

Angle Bisectors
Perpendicular Bisectors

The incenter comes from

what type of consruction?

Construct the perpendicular bisector of segment FH.

Connect point A to point G.

Construct the perpendicular bisector of segment AB.

Construct the perpendicular bisector of segment FG.

What is the next step in

the construction process

of the altitude shown

in the picture at the left?

Consruct the perpendicular bisector of segment FG.

Construct the perpendicular bisector of segment GH.

Draw a line through the two intersection points of the

two arcs that goes through point G.

Answer not here.

What is the next step  in

the process of

constructing the altitude

from point G in the

picture represented on the

left?

The median from vertex G.
The altitude from vertex G.
The median from vertex F.
The altitude from vertex F.

The picture to the left

represents the construction

of what term?

Medians from vertices F and D.
Medians from vertices J and H.
Perpendicular bisectors from segments DE and EF.
Altitudes from vertices D and F.

The picture to the left

represents the

construction of what

statement below?

Construct the midpoint of side IJ.

Construct the midpoint of side IH.

Construct the midpoint of side HI.
Construct the midpoint of side HJ.

What is the first step in

the process of

constructing the median

from point I?

Using a straightedge, line up the two points from the

intersections of the two arcs and draw a point where the

straight edge crosses side HJ.

Using a straightedge, line up the two points from  the

intersections of the two arcs and draw a line that goes

through the triangle.

The next step in the process

of constructing the median

from point I is what?

Connect point A to point I and add tick marks on

segment HA and AJ.

Draw a line through point A and add tick marks on

segment HA and AJ.

Draw a line through point A and the intersections of

the two arcs and add perpendicular symbol on side HJ.

The next step in constructing

the median from point I in

the picture to the left is what?

Perpendicular Lines
Altitudes

The picture to the left

represents the process

of constructing what?

Medians
Parallel Lines
From point P, draw an arc that intersects the line twice.
Construct the perpendicular bisector of the given line.
Draw two poins on the given line.
Draw one point on the given line.

The first step in the process

of constructing a line that is

parallel to the given line that

goes through the given

point is...?

From point P, draw an arc that goes through point R

and the given line.

From point R draw an arc that goes through the line.
From point P, draw an arc that goes through the line.
Answer is not here.

The next step in the process

of constructing a line that is

parallel to the given line that

goes through point R is...?

Draw arcs from points P and A that intersect each

 other

Draw arcs from points Q and point A that  intersect

each other.

Draw arcs from points Q and P that intersect each

other.

The next step in the process

of constructing a line that is

parallel to the given line that

goes through point A is...?

Draw a line through points D and E and add arrows

to each line.

Draw a line through ponts B and E and add arrows to

each line.

Draw a line through points B and E.

The next step in the

process of constructing

a line that is parallel to

the given line that goes

through point B is...?

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