Question1
(a) Draw all the lines of symmetry on this quadrilateral.
(b) Write down the mathematical name of a quadrilateral that has rotational symmetry of order 2.
▶️Answer/Explanation
(a) 4 correct lines of symmetry
(b) Rectangle or rhombus or parallelogram
A square has 4 lines of symmetry:
- Vertical line through the midpoint of two opposite sides.
- Horizontal line through the midpoint of two opposite sides.
- Diagonal line from one vertex to the opposite vertex (both diagonals).
A quadrilateral with rotational symmetry of order 2 is a rectangle or a rhombus.
- A rectangle rotates onto itself after a 180° turn.
- A rhombus also has rotational symmetry of order 2
Question
(a) Measure the size of angle x.
(b) Measure the length of line AB in millimetres.
(c) Mark the midpoint, M, of line AB.
(d) Draw a line through the point M that is perpendicular to line AB.
▶️Answer/Explanation
(a) $46^{\circ}$
(b) $84$
(c) Mid-point marked $42$ mm along $AB$ from $A.$
(d) Line at $90^{\circ}$ to $AB$ at $M.$
(a) Measure the size of angle \( x \):
1. Use a protractor.
2. Place the midpoint of the protractor at point A.
3. Align the baseline with line AB.
4. Read the angle where line AC intersects the protractor scale.
(b) Measure the length of line AB:
1. Use a ruler, preferably one with millimeters for precision.
2. Place the ruler along line AB.
3. Record the length in millimeters.
(c) Mark the midpoint \( M \) of line AB:
1. Find the midpoint by dividing the length of AB by 2.
2. Mark this point M.
(d) Draw a line through point M that is perpendicular to AB:
1. Use a ruler and a set square.
2. Place the set square’s right angle at point M.
3. Draw a straight line through M, perpendicular to AB.
Question
The diagram shows a circle, centre O.
P lies on the circle.
(a) Write down the mathematical name of the line OP.
(b) Draw a tangent to the circle at P.
▶️Answer/Explanation
Ans:
(a) radius
(b) Ruled line drawn through P perpendicular to OP
(a)
- The line OP goes from the center of the circle (O) to a point on the circle (P).
- This line is called the radius of the circle.
(b)
- A tangent is a straight line that touches the circle at exactly one point.
- At point P, the tangent would be a straight line that just touches the circle without crossing it.
- The radius (OP) is always perpendicular to the tangent at point P.
Question
Mark the midpoint of the line ST.
▶️Answer/Explanation
Midpoint of ST marked
Detailed Solution:
- halfway point between points S and T on the line.
- Use a ruler to measure the length of the line, then divide by 2 to locate the midpoint.
- If points S(x₁, y₁) and T(x₂, y₂)
$
M\left( \frac{x₁ + x₂}{2}, \frac{y₁ + y₂}{2} \right)
$
Question
(a) A quadrilateral has four sides of equal length and two pairs of equal angles.
Write down the mathematical name for this quadrilateral.
(b) 
Three of the angles in a quadrilateral are 63°, 74° and 92°.
Work out the size of the fourth angle.
Answer/Explanation
(a)Rhombus
(b)131°
Question
Complete each statement with the correct mathematical term.
(a) 
This solid is a ………………………………………………..
(b) 
This polygon is a regular ………………………………………..
(c) 
Angle ABC is an ……………………………………… angle
Answer/Explanation
Ans:
(a) cuboid
(b) pentagon
(c) obtuse
Question
The diagram shows a prism.
The cross section is an equilateral triangle.
On the grid, draw an accurate net of the prism.
The base is drawn for you.
Answer/Explanation
Ans: Correct ruled net drawn
Question
From the list write down
(a) the shape which has more than 6 lines of symmetry,
Answer/Explanation
Ans: circle
(b) the shape which has both acute and obtuse interior angles.
Answer/Explanation
Ans: parallelogram