Parallelograms. B. C. D. A. Parallelogram. Definition:. A quadrilateral with both pairs of opposite sides parallel. The symbol for parallelogram is a smaller version of the figure. A parallelogram is named using all four vertices.
A quadrilateral with both pairs of opposite sides parallel.
BProperties of Parallelogram
1. Both pairs of opposite sides are congruent.
2. Both pairs of opposite angles are congruent.
3. Diagonals bisect each other but are not congruent
P is the midpoint of AC and BD, so BP = PD and AP = PC.
HK = _______ and HP = ________ .
m< K = m<______ .
m< L + m<______ = 180°.
If m< P = 65°, then m< H = ____, m< K = ____ and
m< L =____.
Draw the diagonals with their point of intersection labeled M.
If HM = 5, then ML = ____ .
If KM = 7, then KP = ____ .
If HL = 15, then ML = ____ .
If m<HPK = 36°, then m<PKL = _____ .
P or K
angles are congruent.)
Example 2: In GEOM, EA = 2x2 + 5x and AM = 4x + 2. Find the value of x. What are EA and AM?
Example 3. Given TRAC. If TC = 3x - 5 and RA = 25, solve for x.
If m∠CTR = 2y - 13 and m∠ACT = y + 1. Find y.