Exam (elaborations)
FLVS 4.01 Using the Coordinates 80 Questions with Solutions
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FLVS 4.01 Using the Coordinates 80
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FLVS 4.01 Using the Coordinates 80%Which characteristics will prove that ΔDEF is a right, isosceles triangle? - answer The
lengths of DE and EF are congruent, and their slopes are opposite reciprocals.
How can you prove a triangle is an equilateral triangle? - answer Use the distance
formula to see if all three sides are congruent.
Which statement explains how you could use coordinate geometry to prove the
diagonals of a quadrilateral are perpendicular? - answers the slope formula to prove the
slopes of the diagonals are opposite reciprocals.
How could you use coordinate geometry to prove that BC||AD ? - answer Prove the
slopes are the same.
Lydia graphed ΔXYZ at the coordinates X (0, −4), Y (2, −3), and Z (2, −6). She thinks
ΔXYZ is a right triangle. Is Lydia's assertion correct? - answerNo; the slopes of XY and
XZ are not opposite reciprocals.
Connor is constructing square ABCD. He has plotted A at (−2, 4), C at (−1, 1) and D at
(−3, 2). Which coordinate could be the location of point B? - answerB (0, 3)
Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.
Which of the following completes statement 4 of the proof? - answerNOT- EF, FG , GH ,
and EH are congruent
Quadrilateral PQRS is located at P (−4, 1), Q (−2, 3), R (1, 1), and S (−2, −2). Russell
and Jamie have both classified PQRS differently. Examine their proofs. Who is correct?
- answerNOT- Jamie
ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies
ΔEFG? - answerΔEFG is an isosceles triangle.
Quadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral
ABCD is a - answerrhombus, because all four sides are congruent and adjacent sides
are not perpendicular
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