JSS 1 Mathematics Flashcards: Construction of Parallel Lines, Perpendicular Lines and Special Angles

Question 1

Which instruments are essential for constructing a perpendicular bisector accurately?

Accepted Answer

ruler and compasses

Question 2

What does it mean to bisect a line segment?

Accepted Answer

Divide it into two equal parts.

Question 3

What angle does a perpendicular line make with another line?

Accepted Answer

$90^\circ$

Question 4

What is true of parallel lines in the same plane?

Accepted Answer

They remain the same distance apart and never meet.

Question 5

When constructing a perpendicular bisector of $AB$, why must the compass radius exceed half of $AB$?

Accepted Answer

So arcs centred at A and B intersect.

Question 6

After equal arcs from A and B intersect above and below $AB$, what is the next step?

Accepted Answer

Join the two arc-intersection points.

Question 7

What angle is formed by constructing an equilateral triangle on a line segment?

Accepted Answer

$60^\circ$

Question 8

To construct $60^\circ$ at A on ray AB, where should the second equal-radius arc be centred?

Accepted Answer

At the point where the first arc crosses ray AB.

Question 9

Which construction produces a $90^\circ$ angle at a point on a line?

Accepted Answer

Constructing a perpendicular to the line at that point.

Question 10

A $60^\circ$ angle is bisected. What is each resulting angle?

Accepted Answer

$30^\circ$

Question 11

A $90^\circ$ angle is bisected. What is each resulting angle?

Accepted Answer

$45^\circ$

Question 12

Why should the compass width remain unchanged when drawing paired construction arcs?

Accepted Answer

The arcs must represent equal distances.

Question 13

What point is located where a perpendicular bisector crosses its segment?

Accepted Answer

the midpoint

Question 14

Every point on the perpendicular bisector of $AB$ is ____.

Accepted Answer

equidistant from A and B

Question 15

What is the best pencil practice in geometric construction?

Accepted Answer

Use a sharp pencil to draw thin, accurate lines.

Question 16

Which line through point P is parallel to line l?

Accepted Answer

A line through P that never meets l and stays equally distant from it.

Question 17

If M is the midpoint of a 12 cm segment AB, what are AM and MB?

Accepted Answer

6 cm each

Question 18

Why are construction arcs normally left visible until the work is checked?

Accepted Answer

They provide evidence of the geometric method used.

Question 19

Which is NOT a valid check for a constructed perpendicular bisector: equal halves, a 90° crossing, equal compass radii, or unequal distances from a point on it to A and B?

Accepted Answer

unequal distances from a point on it to A and B

Question 20

What is the first action when bisecting segment AB by compass construction?

Accepted Answer

Open the compass to more than half of AB.

Strong work.

Leave this flashcard session?