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Coordinate Geometry Proofs - Which tool to use?

Quiz by Marc Coffie

High School
Geometry - Next Generation (2017)
New York State Next Generation Standards

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7 questions
Show answers
  • 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

    120s
    GEO-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

    120s
    GEO-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

    120s
    GEO-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

    120s
    GEO-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=\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=\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

    120s
    GEO-G.GPE.4
  • Q6

    Match the shape with the tool used to prove that shape.

    Users link answers
    Linking
    120s
    GEO-G.GPE.4
  • Q7

    Match the tool with its purpose.

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    Sorting
    120s
    GEO-G.GPE.4

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