MATHS QUIZ: LINES AND POLYGON

An equilateral triangle of side √3 cm is inscribed in a circle. Find the radius of the circle.

• 2/3cm
• 2cm
• 1cm
• 3cm

The triangle PQR above is

• an isosceles triangle
• an obtuse-angled triangle
• a scalene triangle
• an equilateral triangle

The sum of the interior angles of a regular polygon is 1800⁰ . Calculate the size of one exterior angle of the polygon.

• 30⁰

• 24⁰

• 18⁰

• 12⁰

In the figure above, PQR is a straight line segment, /PQ/ = /QT/. Triangle PQT is an isosceles triangle, ∠SRQ is 75⁰ and ∠QPT is 25⁰. Calculate the value of ∠ RST.

• 45⁰

• 55⁰

• 25⁰

• 50⁰

The equation of line passing through the point (2, 3) and parallel to line 3x + 4y = 16 is

• 4y + 3x + 18 = 0
• 4y - 3x - 18 = 0
• 4y + 3x - 18 = 0
• 4y - 3x +18 = 0

The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?

• 40
• 20
• 10
• 12

Find the coordinate of the midpoint of x and y intercepts of the line 2y = 4x – 8.

• (1, -2)
• (2, 0)
• (-1, -2)
• (1, 2)

Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0

• 3 / 2

• 2 / 3

• -2/ 3

• - 3/ 2

The locus of a point which is 5cm from the line LM is a

• line parallel to LM and 5cm from LM
• line distance 10cm from LM and parallel to LM
• pair of lines on opposite sides of LM and parallel to it, each distance 5cm from LM
• pair of parallel lines on one side of LM and parallel to LM.

The locus of the points which is equidistant from the line PQ forms a

• pair of parallel lines to PQ
• perpendicular line to PQ
• circle centre P
• circle centre Q.