Geometric proofs with vectors

Quiz by Oak National Academy: GCSE Maths Higher (2)

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Q 1/6
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Three points that lie along the same straight line are said to be ______.
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6 questions

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Q1
Three points that lie along the same straight line are said to be ______.
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30s
Q2
Select the correct statements to show that $ODEF$ is a trapezium.
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30s
Q3
Select the correct statements to show that $OAEF$ is not a parallelogram.
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Q4
$ABCD$ is a kite. $W,X,Y,Z$ are midpoints of the lines they lie on. $\overrightarrow{XW} = k(\mathbf b - \mathbf a)$ where $k=$ ______
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30s
Q5
$ABCD$ is a kite. $W,X,Y,Z$ are midpoints of the lines they lie on. Find $\overrightarrow{ZW}$ .
$- \mathbf c - \mathbf b$
$2\mathbf c + 2\mathbf b$
$\mathbf c + \mathbf b$
$-2 \mathbf c -2 \mathbf b$
30s
Q6
$ABCD$ is a kite. $W,X,Y,Z$ are midpoints of the lines they lie on. Find $\overrightarrow{XZ}$ .
$-2 \mathbf c -4 \mathbf b + 2\mathbf a$
$\mathbf c + 2\mathbf b - \mathbf a$
$2\mathbf c + 4\mathbf b - 2\mathbf a$
$- \mathbf c - 2\mathbf b + \mathbf a$
30s

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