Grade 10 Maths · Analytical Geometry

Prove or name a quadrilateral type

Name the type of quadrilateral from its properties, or prove what type it is (for example both pairs of opposite sides parallel means it is a parallelogram).

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Gr 8 Mathematics QuadrilateralsMrs Townsend Mathematics - South Africa

HOW to IDENTIFY QUADRILATERALS in Geometry - Grade 8SHFT - Your Learning

Euclidean Geometry Grade 10: Prove a parallelogram summaryKevinmathscience

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Question 1.6 · June 2024 · Paper 2 · Provincial · 3 marks

PQRS

is a quadrilateral with vertices

P (- 5; 0)

Q (0; t)

R (3; - 2)

and

S (- 2; - 5)

P

is on the x-axis and

Q

is on the y-axis. Diagram for this question

1.6 What type of a quadrilateral is

PQRS

? Justify your answer.(3)

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

More past paper questions: prove or name a quadrilateral type

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3. Question 4.2 · March 2022 · Provincial · 3 marks
4.2 A parallelogram has two pairs of opposite sides parallel and equal. Name 3 other quadrilaterals that have these same properties.(3)
Show the memo (1 tick)Memo
1. ✓
  List quadrilateralsRhombus, Square, Rectangle
  3 marks · Prove or name a quadrilateral type
4. Question 6 · March 2021 · Provincial · 5 marks
In the diagram below, ABCD and EFCD are parallelograms.
6 Prove that AFDE is a parallelogram.(5)
Show the memo (5 ticks)Memo
1. ✓
  $E D = FC$ (S/R) $E D = FC$ (Opp sides of parm EFCD)
  1 mark · Use properties of quadrilaterals
2. ✓
  $A F = FC$ (S/R) $A F = FC$ (Diagonals of parm ABCD bisect)
  1 mark · Use properties of quadrilaterals
3. ✓
  $E D = A F$ (S/R) $∴ E D = A F$
  1 mark · Prove or name a quadrilateral type
4. ✓
  $E D ∥ A F$ (S/R) $E D ∥ A F$ ( $E D ∥ FC$ , opp sides of parm $EFC D$ , and $A FC$ is a straight line)
  1 mark · Prove or name a quadrilateral type
5. ✓
  Reason $∴ A F D E$ is a parallelogram (2 opposite sides equal and parallel)
  1 mark · Prove or name a quadrilateral type
5. Question 7.2 · March 2019 · Provincial · 3 marks
In the sketch below, EFGH is a parallelogram. $\hat{K}_{1} = 75°$ ; $\hat{F}_{1} = 4 x$ ; $\hat{G}_{1} = 2 x$ and $\hat{G}_{2} = 3 x$ .
7.2 In the diagram ABCD is a parallelogram with diagonals intersecting at P. AY and CX are drawn such that $B Y = D X$ . Prove that AYCX is a parallelogram.(3)
Show the memo (3 ticks)Memo
1. ✓
  Identify diagonal property $BP = D P$ (diags of parm bisect)
  1 mark · Use properties of quadrilaterals
2. ✓
  Prove new diagonals bisect $BP - B Y = D P - D X$
  $Y P = XP$
  And $A P = CP$ (diags of parm)
  1 mark · Use properties of quadrilaterals
3. ✓
  ConclusionAYCX is a parm (diags bisect each other)
  1 mark · Prove or name a quadrilateral type
6. Question 5.2.3 · March 2021 · Provincial · 1 mark
5.2 Complete the statements below for the properties of a rhombus:
5.2.3 Diagonals bisect each other at ... degrees.(1)
Show the memo (1 tick)Memo
1. ✓
  Property90
  1 mark · Prove or name a quadrilateral type

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