Which Parallelogram Am I Notes
A quadrilateral is a rhombus if and only if it has four _________________.
A parallelogram is a rhombus if and only if its diagonals are __________________.
A parallelogram is a rhombus if and only if each diagonal bisects a pair of ____________________.
Ex 1: For any rhombus QRST, decide whether the statement is always or sometime true.
(a) Q
(b) Q
S
R
A quadrilateral is a rectangle if and only if it has four ________________________.
A parallelogram is a rectangle if and only if its _________________ are congruent.
Ex 2: For any rectangle ABCD, decide whether the statement is always or sometimes true.
(a) AB BC
(b) AB CD
A quadrilateral is a square if and only if it is a ________________ and a ________________.
Which Parallelogram Am I Notes
A trapezoid is a quadrilateral with exactly one pair of ___________________ which are called bases.
If the legs of the trapezoid are congruent, then it is an _____________________.
If a trapezoid is isosceles, then each pair of base angles are _______________.
If a trapezoid has a pair of ___________________base angles, then it is an ___________ trapezoid.
A trapezoid is isosceles if and only if its ______________ are congruent.
The ___________________connects the midpoints of the ______ of a trapezoid.
The midsegment of a trapezoid is ______________ to each base and its length is ______the sum of the bases.
A kite is a quadrilateral that has two pairs of __________________________________sides but opposite sides
are not congruent.
If a quadrilateral is a kite, then its diagonals are ______________. (The converse is false.)
If a quadrilateral is a kite, then exactly ________________ of opposite angles are congruent.
Which Parallelogram Am I Notes
Use the flow chart to complete the Venn diagram showing how all the quadrilaterals are related.
Quadrilaterals
Which Parallelogram Am I Notes
Quadrilateral
1. Has 4 ______________
2. Interior angles add up to _________
Kite
Trapezoid
1. 2 pairs of consecutive
_____________ sides.
1. Has exactly _____ set of parallel
sides.
Isosceles Trapezoid
Parallelogram
2. Diagonals are ___________.
1. Both pairs of opposite sides are ____________.
2. Both pairs of opposite sides are ____________.
1. Legs are ________________.
3. Both pairs of opposite angles are ___________.
2. Each pair of base angles is
____________.
4. The diagonals ________ each other.
3. Diagonals are ______________.
5. Consecutive angles are ____________________.
3. Exactly ______ pair of opposite
angles are congruent.
4. The long diagonal _____________ the
short diagonal.
5. The short diagonal ___________the
opposite congruent angles.
4. Consecutive non-base angles are
___________________.
Rectangle
Rhombus
1.Has four ________ angles.
1. All four sides are _____________.
2. Diagonals are _______________.
2. Diagonals are ____________.
3. Diagonals _____________ opposite
angles.
Square