Coordinate Algebra Unit 5 EOC Review

Which segment is perpendicular to $\overline{DE}$ ?

•  $\overline{AB}$  

•  $\overline{CF}$  

•  $\overline{DF}$  

•  $\overline{EF}$  

Classify $\overline{EH}$ and  $\overline{DH}$ .

• Skew segments

• Parallel segments

• Perpendicular segments

• Parallel planes

Which angle measures approximately $72\degree$ ?

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Draw $\angle RST$ . What is the name of one of the sides of  $\angle RST$ ?

•  $\overrightarrow{RS}$  

•  $\overrightarrow{ST}$  

•  $\overline{RS}$  

•  $\overline{ST}$  

Rotate the triangle  $R\left(3,\ 1\right)$ ,  $S\left(1,\ 3\right)$ ,  $T\left(4,\ 5\right)$   $180\degree$  about the origin.

•  $R'\left(1,\ 3\right),\ S'\left(3,\ 1\right),\ T'\left(5,\ 4\right)$  

•  $R'\left(-1,\ -3\right),\ S'\left(-3,\ -1\right),\ T'\left(-5,\ -4\right)$  

•  $R'\left(-3,\ -1\right),\ S'\left(-1,\ -3\right),\ T'\left(-4,\ -5\right)$  

•  $R'\left(3,\ 1\right),\ S'\left(1,\ -3\right),\ T'\left(4,\ -5\right)$  

What are the coordinates of the image of $\left(-3,\ 2\right)$ when the point is reflected across the line  $y=4$ ?

• (-3, 4)

• (-1, 6)

• (6, -3)

• (-3, 6)

Translate the quadrilateral $W\left(-2,\ 2\right),\ X\left(-3,\ 3\right),\ Y\left(-6,\ 5\right),\ Z\left(-6,\ 3\right)$ using the transformation  $\left(x-2,\ y+3\right)$ .

•  $W'\left(-4,\ 5\right),\ X'\left(-5,\ 6\right),\ Y'\left(-8,\ 8\right),\ Z'\left(-8,\ 6\right)$  

•  $W'\left(0,\ 5\right),\ X'\left(-1,\ 6\right),\ Y'\left(-4,\ 8\right),\ Z'\left(-4,\ 6\right)$  

•  $W'\left(0,\ -1\right),\ X'\left(-1,\ 0\right),\ Y'\left(-4,\ 2\right),\ Z'\left(-4,\ 0\right)$  

•  $W'\left(4,\ 6\right),\ X'\left(6,\ 9\right),\ Y'\left(12,\ 15\right),\ Z'\left(12,\ 9\right)$  

Reflect the triangle  $T\left(-1,\ -2\right),\ U\left(1,\ 1\right),\ V\left(4,\ -3\right)$ across the line  $y=x$ .

•  $T'\left(1,\ -2\right),\ U'\left(-1,\ -1\right),\ V'\left(-4,\ -3\right)$  

•  $T'\left(-1,\ 2\right),\ U'\left(1,\ 1\right),\ V'\left(4,\ 3\right)$  

•  $T'\left(1,\ 2\right),\ U'\left(-1,\ 1\right),\ V'\left(-4,\ 3\right)$  

•  $T'\left(-2,\ -1\right),\ U'\left(1,\ 1\right),\ V'\left(-3,\ 4\right)$  

Rotate $\Delta RSQ$ with vertices  $R\left(4,\ -1\right),\ S\left(5,\ 3\right),\ and\ Q\left(3,\ 1\right)$ by  $90\degree$ about the origin.

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 $\Delta ABC$ has vertices  $A\left(3,\ 1\right),\ B\left(4,\ 5\right),\ and\ C\left(2,\ 3\right)$ . Rotate  $\Delta ABC\ 90\degree$ counterclockwise about the origin and then reflect it across the x-axis. 

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