Download Quad Wall Walk

1.Name the quadrilaterals. Use the statements to justify the name of the shape. Use as many reasons that fit the markings in the
diagram only.
a.
d.
g.
i.
b.
c.
e.
f.
h.
j.
2. Use coordinate geometry to prove that quadrilateral ABCD is a parallelogram.
a. Use the distance formula or Pythagorean Theorem to show opposite sides are congruent.
b. Find the slopes of all sides to show that opposite sides are parallel.
3. Use the flow diagram and state always, sometimes and never.
a. A rhombus is a square.
b. A quadrilateral is a trapezoid.
c. A parallelogram is a rectangle.
d. A rhombus is kite.
4. Explain why a square is a rectangle and a rhombus.
5.
6.
6a.Which angles satisfy the reason given in step 3?
If not, explain why.
a. <1≅<2 and <3≅<4
6b. Which statement justifies the reason for step
4 in the proof? Explain why the others do not work.
a. Opposite sides are congruent.
6c. Which statement justifies the reason for step 6 of
the proof. Explain why the others do not.
a. Diagonals are bisected in a parallelogram.
b. <1≅<3 and <2≅<4
b. Opposite angles are congruent.
c. <1≅<4 and <2≅<3
c. Opposite sides are parallel.
b. Corresponding parts of congruent triangles are
congruent.
c. Diagonals are congruent.
7. Another method of proving diagonals of a parallelogram bisect each other uses a coordinate grid. Explain how you would do this using slopes and lengths.