Coordinate Algebra Unit 6 Vocabulary
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Lines with opposite reciprocal slopes
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Perpendicular Lines
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If you are partitioning directed line segment AB in a 8:7 ratio, what is the fraction that will be your multiplier?
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(8/15)
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product of these lines' slopes is always -1
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Perpendicular LinesThe
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What is the slope of a line perpendicular to y= (2/5)x+52?
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-(5/2)
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What is the slope of a line parallel to y= 4?
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Undefined
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Which quadrilateral has five sides?
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None of them, silly! QUADrilaterals all have four sides!
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What is the y-intercept of a line parallel to y= x+3?
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YOU CAN'T TELL YET! You know the slope has to be 1, but you need a point on the parallel line to be able to calculate the y-intercept.
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What is the slope of a line parallel to y= -3x+7?
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-3
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Which quadrilateral has the property that only one set of sides is parallel?
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Trapezoid
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What is the y-intercept of a line perpendicular to y= 5x-2?
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YOU CAN'T TELL YET! You know the slope has to be -(1/5), but you need a point on the perpendicular line to be able to calculate the y-intercept.
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Which quadrilateral has the property that diagonals bisect each other?
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Rectangle, Square, Rhombus
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Which quadrilateral has the property that the diagonals intersect in a right angle?
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Rhombus and Square
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Which quadrilaterals have the property that all opposite sides are congruent?
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Parallelogram, Rectangle, Rhombus, Square
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Lines with the same slope
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Parallel Lines
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What theorem is the Distance Formula, really?
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It's just the \"a\"-squared plus \"b\"-squared equals \"c\"-squared theorem, known as the Pythagorean Theorem. The only difference is the distance formula just solves for \"c\" by square rooting both sides of the Pythagorean Theorem.
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Which quadrilaterals have the property that all angles add up to 360 degrees?
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All of them.
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What is the slope of a line perpendicular to y= - 2x+5?
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(1/2)
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Which quadrilaterals have the property that all sides are congruent?
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Rhombus and Square
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If you are given four points and asked if they form a rectangle, would you a) find all four slopes of the lines, or b) find all of the side lengths
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a) if you could see that the slopes of adjacent sides were perpendicular, then you could say it is a rectangle b) If you could see the side lengths, you might see that opposite sides are congruent...but that could be a parallelogram OR a rectangle. You would have to also know that there is one right angle (find two adjacent slopes are opposite reciprocals) in addition to the side lengths to know for sure that it was a rectangle. SO A only.
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Which quadrilaterals have the property that all opposite angles are congruent?
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Parallelogram, Rectangle, Rhombus, Square
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If you are partitioning directed line segment AB in a 2:3 ratio, what is the fraction that will be your multiplier?
answer
(2/5)
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