Construction - JSS2 Mathematics Past Questions and Answers - page 1
What is the first step in constructing a triangle with a protractor and a ruler?
Measure the angles
Draw the base
Label the intersection point
Draw the sides
When constructing a right-angled triangle, what angle should be drawn at the base?
45 degrees
60 degrees
90 degrees
120 degrees
Which tool is essential for constructing the sides of a triangle after drawing the base and measuring the angles?
Compass
Protractor
Ruler
Set square
What is the first step in bisecting an angle using a compass and a ruler?
Draw the bisector line
Draw an arc that intersects both arms of the angle
Place the compass at one intersection point and draw an arc
Draw the angle
When bisecting an angle, where should the compass be placed to draw the initial arc?
At one of the arms of the angle
At the intersection of the arcs
At the vertex of the angle
At any random point within the angle
After drawing the intersecting arcs from the two intersection points on the arms of the angle, what is the final step in bisecting the angle?
Draw a line from one arm to the other
Draw a line from the vertex through the intersection point of the arcs
Measure the resulting angles
Draw another arc from the vertex
You want to construct a triangle with a base 𝐴𝐵=8, ∠𝐴=50∘, and ∠𝐵=70∘. What is the length of side 𝐴𝐶, if 𝐴𝐶 is opposite to ∠𝐴?
To find 𝐴c:
Use the sine rule or cosine rule to calculate
𝐴𝐶.