# Test: Coordinate Geometry I - Ambitious

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Question 1:   Plot and connect the following points: $A\left(-1,-1\right),B\left(2,-1\right),C\left(2,2\right)$. Calculate the area of the figure
$4.5$
$6$
$9$
$3$
Question 2:   Plot and connect the following points: $A\left(-1,-1\right),B\left(-1,2\right),C\left(2,2\right),D\left(2,-1\right)$. Calculate the area of the figure
$16$
$9$
$4$
$8$
Question 3:   Find the distance between the points $A\left(-2,1\right)$ and $B\left(5,-1\right)$
$6.76$
$7.28$
$6.33$
$5$
Question 4:   Find the distance between the points $A\left(-3,-2\right)$ and $B\left(8,3\right)$
$7.07$
$11.05$
$12.08$
$5.08$
Question 5:   Plot and connect the following points $A\left(1,2\right),B\left(-2,-1\right),C\left(1,-4\right),D\left(4,-1\right)$. Calculate the area of the figure
$18$
$4\sqrt{5}$
$3\sqrt{2}$
$20$
Question 6:   Find the area of a triangle formed by the $x$-axis, the line defined by $y=x$ and the second line defined by $y=-x+6$
$12$
$6$
$18$
$9$
Question 7:   Find the distance between $A\left(-4,5\right)$ and $B\left(1,-4\right)$
$9.49$
$10.3$
$8.76$
$11$
Question 8:   Find the midpoint between $A\left(3,2\right)$ and $B\left(-1,-2\right)$
$\left(0,1\right)$
$\left(1,0\right)$
$\left(1,2\right)$
$\left(2,1\right)$
Question 9:   Find the point $B$ if the point $M\left(4,4\right)$ is the midpoint between $A\left(0,7\right)$ and $B$
$B\left(7,0\right)$
$B\left(9,0\right)$
$B\left(7,2\right)$
$B\left(8,1\right)$
Question 10:   Find the equation of a straight line going through the points $A\left(4,2\right)$ and $B\left(-2,1\right)$
$y=\frac{1}{6}x+1\frac{1}{3}$
$y=\frac{5}{6}x+1\frac{1}{6}$
$y=\frac{1}{3}x+1$
$y=\frac{2}{3}x+\frac{5}{6}$