SME
Grade 10 Math · Problem type
Find the center of a circle
Use this for “How can you find the center of a circle with a compass and straightedge?”
Put in order
Put the steps in order, first step first.
1
?
2
?
3
?
4
?
Assumptions
•
The perpendicular bisector of any chord passes through the center.
•
Two bisectors that aren’t parallel cross at exactly one point: the center.
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Related lessons
Geometry basics: points, lines, segments, angles and constructions
Main lesson
Midpoint with an unknown
Use this for “M is the midpoint of AC, AM = 3x + 1 and MC = 5x − 7. Find x, AM and AC.”
Angle addition
Use this for “m∠AOB = 38° and m∠BOC = 47°. Find m∠AOC.”
Construct a perpendicular bisector
Use this for “AB is 6 cm and the compass is open to 4 cm. How far above AB do the arcs cross?”
Construct a perpendicular bisector
Use this for “What is the next step in constructing the perpendicular bisector of AB?”
Bisect an angle
Use this for “Put the steps for bisecting ∠AOB with a compass in order.”
What the angle bisector construction guarantees
Use this for “After bisecting ∠AOB with a compass, which statements must be true?”