# Coordinate Geometry Proofs - Which tool to use?

## Quiz by Marc Coffie

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- Q1
To prove 4 points create a parallelogram, use...

slope to show opposite sides are congruent so they are parallel

slope to show opposite sides have negative reciprocal slopes so they are parallel

slope to show consecutive sides have reciprocal slopes so they are parallel

slope to show opposite sides have the same slope so they are parallel

120sGEO-G.GPE.4 - Q2
To prove 4 points create a rectangle, use...

slope to show opposite sides have negative reciprocal slopes so they are parallel and consecutive sides have the same slope so they are perpendicular and form right angles.

slope to show consecutive sides have reciprocal slopes so they are parallel and consecutive sides have negative reciprocal slopes so they are perpendicular and form right angles

slope to show opposite sides have the same slope so they are parallel and consecutive sides have negative reciprocal slopes so they are perpendicular and form right angles

slope to show opposite sides are congruent so they are parallel and consecutive sides have negative reciprocal slopes so they are perpendicular and form right angles

120sGEO-G.GPE.4 - Q3
To prove 4 points create a trapezoid, use...

slope to show consecutive sides have reciprocal slopes so they are parallel and 1 set of opposite sides do not have the same slope so they are not parallel

slope to show opposite sides have negative reciprocal slopes so they are parallel and 1 set of opposite sides do not have the same slope so they are not parallel

slope to show 1 set of opposite sides have the same slope so they are parallel and 1 set of opposite sides do not have the same slope so they are not parallel

slope to show opposite sides are congruent so they are parallel and 1 set of opposite sides do not have the same slope so they are not parallel

120sGEO-G.GPE.4 - Q4
To prove 3 points create an isosceles triangle, use...

slope ($a^2+b^2=c^2$) to show 2 sides have the same slope and are parallel and meet at a right angle

slope ($a^2+b^2=c^2$) to show 2 sides have negative reciprocal slopes and are perpendicular and meet at a right angle

distance ($a^2+b^2=c^2$) to show 2 sides have the same length

distance ($a^2+b^2=c^2$) to show 2 sides have negative reciprocal slopes and are perpendicular and meet at a right angle

120sGEO-G.GPE.4 - Q5
To prove 3 points create a right triangle, use...

slope ($a^2+b^2=c^2$) to show 2 sides have negative reciprocal slopes and are perpendicular and meet at a right angle

slope ($a^2+b^2=c^2$) to show 2 sides have the same slope and are parallel and meet at a right angle

slope ($m=\backslash frac\{y\_2-y\_1\}\{x\_2-x\_1\}$) to show 2 sides have negative reciprocal slopes and are perpendicular and meet at a right angle

slope ($m=\backslash frac\{y\_2-y\_1\}\{x\_2-x\_1\}$) to show 2 sides have equal slopes and are perpendicular and meet at a right angle

120sGEO-G.GPE.4 - Q6
Match the shape with the tool used to prove that shape.

Users link answersLinking120sGEO-G.GPE.4 - Q7
Match the tool with its purpose.

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