# NovaNET Assignment

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```					Geometry Semester 2
Homework on Advanced Constructions                    Name: _______________________________

You will need a straight-edge, compass and protractor for these. Show all markings.

1.   Construct an equilateral triangle with AB as one of its sides. Use only a straightedge and
compass (do not use the protractor):

A                               B

2.   Construct triangle ABC with the given sides and included angle. Use a straightedge and
compass only.

B

A                               B

B                                           C

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3.   Construct triangle EFG with the given angles and included side. Use a straightedge and
compass only.

E

F
E                                   F

4.   Construct triangle KLM with these sides:

K                            L

K                                    M

L                                                       M

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5.   Construct a triangle whose sides measure 5 cm, 7 cm and 8 cm. What is the measure of the
smallest angle to the nearest degree?

o       o
6.   Construct a triangle with two angles measuring 60 and 40 , and the included side measuring 6
cm. How long is the shortest side to the nearest tenth of a centimeter?

7.   Construct a rectangle on AB with AD as one of its sides. Use a straightedge and compass only.

A                                     B              A                   D

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8.   When given two sides and an angle that is not included between the sides, there could be two
different triangles, because SSA is not a theorem in geometry. Construct two different triangles
ABC that have these sides and angle, using a straightedge and compass only.

A                               B

A                       C                      B

B

9.   Construct triangle DEF with the following side and angles. Use a straightedge and compass
only.

D                            E

E
F

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10.   The following segment is 3 cm long. Construct a segment that is   3 cm long. Use a
straightedge and compass only.

11. Construct the circle that contains these three points:

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o
12. Construct triangle ABC on the given side, so that angle A measures 45 and angle B measures
o
30 . Use straightedge and compass only.

A                                           B

13. Construct the line tangent to this circle at point P:
P

14. Construct two lines tangent to this circle and containing point Q:

Q

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```
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