School

Indipendent Learning Centre **We aren't endorsed by this school

Course

HIGH SCHOOL MATH MPM1DB

Subject

Mathematics

Date

Oct 3, 2023

Pages

4

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10/3/23, 8:35 AM
Geometry
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Option 1—Work Independently
Throughout this module, you've learned about the basics of geometry and how to make constructions using a
compass, a straightedge, and technology. It's time to put it all together! You will use what you have learned to
tackle questions about constructions.
Step 1: Evaluate
Answer the following questions:
1. Examine the two angle bisector constructions.
Example 1
Example 2

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Geometry
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Which angle bisector was created by following the construction steps correctly? How do you know?
Which angle bisector was constructed incorrectly? Explain the step that was completed incorrectly.
2. Two students created a list of steps for the following construction. Which student has steps in the correct
order, and which does not? Explain.
You are given
and point C. Construct a line parallel to
that passes through
point C.

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Geometry
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3. What inscribed polygon is being constructed? Explain how you know.
Student A Steps:
Student B Steps:
1. Draw a line that intersects points B
and C.
2. Draw a line through point C and
point G.
3. Keep the compass at the same
width, and place it on point C.
4. Keeping the compass at the same
width, place it on point F.
5. Mark the intersection of the two arcs
as point G.
6. Open the compass to the width
between points D and E.
7. Place the compass on point B, and
swing an arc that crosses line AB
and line BC. Label the points D and
E.
8. Swing an arc that crosses line BC,
and label the point F.
9. Swing an arc that intersects the arc
created from line BC at point C.
1. Draw a line that intersects points B
and C.
2. Place the compass on point B, and
swing an arc that crosses line AB
and line BC. Label the points D and
E.
3. Keep the compass at the same
width, and place it on point C.
4. Swing an arc that crosses line BC,
and label the point F.
5. Open the compass to the width
between points D and E.
6. Keeping the compass at the same
width, place it on point F.
7. Swing an arc that intersects the arc
created from line BC at point C.
8. Mark the intersection of the two arcs
as point G.
9. Draw a line through point C and
point G.

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