# Test: Coordinate Geometry I - Challenging

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Question 1:   Plot the following points: $A\left(1,2\right),B\left(7,2\right),C\left(1,6\right)$. Connect the points in an alphabetical order and find the area of the figure in square units
$A△=24$
$A△=17$
$A△=29$
$A△=12$
Question 2:   Plot the following points:$A\left(-3,-1\right),B\left(1,-5\right),C\left(7,1\right),D\left(3,5\right)$. Connect the points in an alphabetical order and find the area of the figure in square units
$36$
$40$
$54$
$48$
Question 3:   Plot the following points:$A\left(-4,-3\right),B\left(6,-3\right),C\left(4,2\right),\left(-2,2\right)$. Connect the points in an alphabetical order. Find the area of the figure in square units
$A▱=20$
$A▱=40$
$A▱=60$
$A▱=80$
Question 4:   What is the length of the line connecting the following points: $A\left(5,2\right)$ and $B\left(9,1\right)$
$\sqrt{17}$
$13$
$\sqrt{26}$
$11$
Question 5:   What is the length of the line connecting the following points: $A\left(-2,3\right)$ and $B\left(4,5\right)$
$\sqrt{68}$
$10$
$6$
$2\sqrt{10}$
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