IXL - Construct parallel lines (Geometry practice)

The diagram below shows a nearly completed construction of a parallelogram with sides

and

⨀A

was drawn with radius BC.

⨀C

was drawn with radius AB.

Complete the construction.

Undo

Redo

Point

Segment

Ray

Line

Circle

Delete

ref_doc_title.

Learn with an example

question

The diagram below shows a nearly completed construction of a parallelogram with sides

and

⨀A

was drawn with radius BC.

⨀C

was drawn with radius AB.

Complete the construction.

Undo

Redo

Point

Segment

Ray

Line

Circle

Delete

solution

Part of the construction was done for you. Here are the steps to create this part of the construction.

Start with the objects in the diagram below.

Draw a circle with radius
B
C
centered at
A
.

Draw a circle with radius
A
B
centered at
C
.

⨀
A
and
⨀
C
intersect in 2 points. Mark the point on the opposite side of
line
A
C
from
B
.
Call it
D
.

Since

⨀

has radius

Since

⨀

has radius

Draw the segment between
A
and
D
.

start of large bold text, Complete the construction., end of large bold text

To complete the construction of a parallelogram with sides

and

carry out the following step:

Draw the segment between
C
and
D
.

The segments

, and

form quadrilateral

Since

and

, the opposite sides of

are congruent. This means

is a parallelogram.

Looking for more? Try this:

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Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

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Teacher tools

Work it out

Not feeling ready yet? These can help:

D.1Identify parallel, intersecting, and skew lines and planes

O.7Proving a quadrilateral is a parallelogram

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