SME
Grade 10 Math
Geometry basics: points, lines, segments, angles and constructions
The main lesson, then each kind of problem it solves.
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?”
Find the center of a circle
Use this for “How can you find the center of a circle with a compass and straightedge?”