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use the quadrilaterals you drew on your pieces of patty paper and the o…

Question

use the quadrilaterals you drew on your pieces of patty paper and the observations you made to complete the table.

  1. identify the properties that are always true for the given quadrilateral by placing an x in the appropriate box.

lesson 2: the quad squad

Explanation:

Step1: Analyze each quadrilateral's properties

  • Parallelogram:
  • Opposite sides are parallel (a).
  • Opposite sides are congruent (c).
  • Opposite angles are congruent (g).
  • Diagonals bisect each other (j).
  • Rectangle:
  • Opposite sides are parallel (a).
  • Opposite sides are congruent (c).
  • All angles are right angles (i).
  • Diagonals bisect each other (j).
  • Diagonals are congruent (l).
  • Rhombus:
  • Opposite sides are parallel (a).
  • All sides are congruent (e).
  • Opposite angles are congruent (g).
  • Diagonals bisect each other (j).
  • Diagonals are perpendicular (k).
  • Square:
  • Opposite sides are parallel (a).
  • All sides are congruent (e).
  • All angles are right angles (i).
  • Diagonals bisect each other (j).
  • Diagonals are perpendicular (k).
  • Diagonals are congruent (l).
  • Isosceles Trapezoid:
  • Only one pair of opposite sides is parallel (b).
  • Only one pair of opposite sides is congruent (d).
  • At least one pair of opposite angles is congruent (h).
  • Diagonals are congruent (l).
  • Kite:
  • 2 pairs of consecutive sides are congruent (f).
  • At least one pair of opposite angles is congruent (h).

Answer:

PropertyParallelogramRectangleRhombusSquareIsosceles TrapezoidKite
b. Only one pair of opposite sides is parallel.X
c. Opposite sides are congruent.XX
d. Only one pair of opposite sides is congruentX
e. All sides are congruent.XX
f. 2 pairs of consecutive sides are congruent.X
g. Opposite angles are congruent.XXXX
h. At least one pair of opposite angles is congruent.XX
i. All angles are right angles.XX
j. Diagonals bisect each other.XXXX
k. Diagonals are perpendicular.XX
l. Diagonals are congruent.XXX