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Classifying Quadrilaterals
Properties of Parallelograms
Rectangles Rhombii Trapezoids and Kites
Name the quadrilateral that has two pairs of adjacent
sides that are congruent and no opposite sides congruent.
A trapezoid is a quadrilateral with exactly one pair of parallel sides.
An isosceles trapezoid is a trapezoid whose nonparallel opposite sides are congruent.
Consecutive angles are formed by two parallel lines cut by a transversal. These angle pairs are classified as same-side interior angles and same-side interior angles are supplementary when two
parallel lines are cut by a transversal.
a. Yes; both pairs of alternate interior angles are congruent, therefore both pairs of opposite sides are parallel.
b. No; the diagonals do not necessarily bisect each other.
True or False?
a. The opposite sides of a rectangle are congruent.
b. The diagonals of a rectangle are always perpendicular.
c. The diagonals of a rectangle bisect each other.
d. The opposite angles of a rectangle are both congruent and supplementary.
a. True; a rectangle is a parallelogram and the opposite sides of a parallelogram are congruent
b. False; unless the rectangle is a square, the diagonals are not perpendicular.
c. True; a rectangle is a parallelogram and the diagonals of a parallelogram bisect each other.
d. True; all four angles in a rectangle are 90 degrees, therefore the opposite angles are both congruent and supplementary.
Find the value of x for the following rectangle and then find
the length of each diagonal.
3RZ x 5SW x
1 = 62; base angles of an isosceles trapezoid are congruent.
2 = 118; angle 2 and the 62 degree angle are s.s.-interior angles.
3 = 118; angles 2 and 3 are base angles.