IXL - Construct a congruent angle (Geometry practice)

The diagram below shows a nearly completed construction of an angle congruent to

∠

with vertex

and side

⨀D

was drawn with radius AB.

⨀G

was drawn with radius BF.

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 an angle congruent to

∠

with vertex

and side

⨀D

was drawn with radius AB.

⨀G

was drawn with radius BF.

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
A
B
centered at
A
.

Mark the point where
⨀
A
and
A
C
intersect. Call it
F
.

Since

and

are both on

⨀

Draw a circle with radius
A
B
centered at
D
.

Mark the point where
⨀
D
and
D
E
intersect. Call it
G
.

Since

⨀

has radius

Draw a circle with radius
B
F
centered at
G
.

Mark a point where
⨀
D
and
⨀
G
intersect. Call it
H
.

Since

⨀

has radius

Since

⨀

has radius

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

To complete the construction of an angle congruent to

∠

with vertex

and side

carry out the following step:

Draw a ray from
D
through
H
.

Since

and

△

≅

△

by the SSS Theorem. So,

∠

≅

∠

by CPCTC.

Looking for more? Try this:

$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

B.8Construct a congruent segment

L.2SSS and SAS Theorems

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