Bisect — Grade 7 Accelerated, what it means and where it is taught
Cut exactly in half.
Taught in Grade 7 Accelerated.
Where it is taught
Practise this idea
6 questions in the course bank use Bisect, in Definitions, Postulates & Reasoning, Quadrilaterals & Polygon Properties, Coordinate Geometry Proofs.
Problem 1
OB bisects ∠ AOC. If m∠ AOB = 34°, find m∠ AOC.
Worked answer
68
m∠ AOC = 2 × 34
= 68°
Problem 2
OB bisects ∠ AOC. m∠ AOC = (6x+4)° and m∠ AOB = (2x+14)°. Find m∠ AOC.
Worked answer
76
2(2x+14) = 6x+4
4x+28 = 6x+4, so x = 12
6(12)+4 = 76°
Problem 3
Congruent diagonals that bisect each other mean the shape is a
- rectangle
- rhombus
- trapezoid
- kite
Worked answer
rectangle
Bisecting diagonals make it a parallelogram.
Congruent diagonals upgrade it to a rectangle.
Problem 4
Perpendicular diagonals that bisect each other mean the shape is a
- rhombus
- rectangle
- trapezoid
- square
Worked answer
rhombus
Bisecting makes it a parallelogram.
Perpendicular makes it a rhombus.
Problem 5
A quadrilateral has diagonals that bisect each other, are congruent, and are perpendicular. Name it.
Worked answer
square
Bisecting: parallelogram.
Congruent: rectangle. Perpendicular: rhombus.
Both together: a square.
Problem 6
You want to prove the diagonals bisect each other. Which formula?
Worked answer
midpoint
If both diagonals have the same midpoint, they bisect each other.