Grade 7 · Math · Unit 11 of 15
Constructions
Perpendicular lines, parallel lines and bisectors
What your child practises
Children practise the ideas behind geometric constructions: perpendicular and parallel lines, perpendicular bisectors and angle bisectors made with a compass and straightedge.
Manitoba Curriculum learning outcome: 7.SS.3 · geometric constructions: perpendicular and parallel lines, perpendicular bisectors and angle bisectors
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Each of the two parts of a bisected angle measures 25°. The original angle measures…
- 50°
- 100°
- 25°
- 12.5°
50°
Hint: 25 + 25 = 50.
Question 2
If a 70° angle is bisected, each part measures…
- 70°
- 35°
- 140°
- 20°
35°
Hint: 70 ÷ 2 = 35.
Question 3
To bisect angle ABC, you first draw an arc from B that crosses…
- both arms of the angle
- neither arm
- the page edge
- only one arm
both arms of the angle
Hint: The arc marks equal distances on both arms.
Question 4
Which pair of lines is parallel?
- two sides that meet at a corner
- the opposite sides of a rectangle
- a vertical and a horizontal line
- the hands of a clock at 3:00
the opposite sides of a rectangle
Hint: Opposite sides stay the same distance apart.
Question 5
If a 90° angle is bisected, each part measures…
- 180°
- 30°
- 45°
- 90°
45°
Hint: 90 ÷ 2 = 45.
Question 6
The diagonals of a rectangle that is not a square…
- are perpendicular
- bisect each other but are not perpendicular
- do not cross
- are parallel
bisect each other but are not perpendicular
Hint: They cross at the midpoint but not at 90°.