2D & 3D Shapes | Edexcel GCSE Maths: Foundation Topic Questions 2017

1

3 marks

Here is polygon $A B C D E F$ on a square grid.

A polygon ABCDEF drawn on a square grid

(i)

Write down the mathematical name of the polygon.

[1]

(ii)

Which side of the polygon is parallel to the side $A B$ ?

[1]

(iii)

Write down a side of the polygon that is perpendicular to $A B$ .

[1]

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1

7 marks

A quadrilateral ABED with angle BED = 115 degrees and angle BAC = 50 degrees. Point C lies on AD such that BCDE is a parallelogram

$A C D$ is a straight line.
$A B C$ is a triangle.
$B C D E$ is a parallelogram.

Show that triangle $A B C$ is an isosceles triangle.
Give a reason for each stage of your working.

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1

4 marks

Triangle ACD, where B is a point on AC such that AB = BC = BD and angle DAB = 70 degrees

$A B C$ is a straight line.
The lines $A B$ , $B C$ , and $B D$ are all the same length.
Angle $D A B = 70 °$ .

Work out the size of the angle marked $x$ .

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2D & 3D Shapes (Edexcel GCSE Maths: Foundation)