Download ASN Quadrilaterals WS

ASN Quadrilaterals WS
Geometry Accelerated
Name ______________________
Date _____________ Block____
Determine whether the following statements are always, sometimes, or
never true. [explain or give diagrams to support your answer]
1. The diagonals of a quadrilateral bisect each other.
2. If the measures of 2 pairs of angles of a quadrialteral are equal, the
quadrilateral is a parallelogram.
3. If one pair of opposite sides of a quadrilateral are parallel and
congruent, the quadrilateral is a parallelogram.
4. If both pairs of opposite sides of a quadrilateral are congruent, the
quadrilateral is a parallelogram.
5. A square is a rhombus.
6. The diagonals of a parallelogram bisect the angles of the
parallelogram.
7. The diagonals of a rhombus are congruent.
8. A rectangle is a square.
9. The diagonals of a rhombus bisect each other.
10. To prove a quadrilateral is a rectangle, prove the diagonals are
congruent.
Midsegments Algebra Examples WS
1. Given triangle ABC with D & E midpoints of sides AB and
AC respectively, find the value of x if DE = 2x+1 and BC = 5x-5.
2. In trapezoid FGHI, FG & IH and J is the midpoint of FI and K is the
midpoint of GH . If JK = 8, FG = x2+x-2 and IH = x2+3x-12, find the value of
x.
3. In triangle MLN, J and K are midpoints of sides ML and MN respectively.
If JK = 3x-1.5 and LN = 15, find x.
4. In a trapezoid TSRQ, TS & QR , U is the midpoint of TQ , and V is the
midpoint of SR . If TS = 8x+34, UV = 86, QR = 14x+92, find the value
of x.
5. In trapezoid ABCD, AD & BC , M is the midpoint of AB and N is the
midpoint of DC . If AD = x2+1, MN = 4x+1, and BC = x2+2x+1, find AD, MN,
and BC.