Properties
Parallelograms
Trapezoids
Real World Problems
Proofs
100
Name all the shapes that have opposite sides parallel
parallelogram, rectangle, rhombus, square
100
These parallelograms have four congruent sides
rhombus and square
100
This figure has exactly one pair of parallel sides that are not congruent. The other pair of sides are congruent.
isosceles trapezoid
100
What formula can be used to set up an equation for DB?
Hyp=√leg2+leg2
100
What is reason 2?
F. Opposite angles of a parallelogram are congruent
200
Name all the shapes with opposite sides congruent.
parallelogram, rectangle, rhombus, square
200
These parallelograms have two pairs of parallel sides congruent and congruent diagonals.
rectangle and square
200
Base angles of an isosceles trapezoid are ________.
congruent
200
What equation can be used to find DB?
DB=√122+(8.4+4.2)2
DB=√122+12.62
200
What is reason 4?
C. Given
300
Name all the shapes with congruent diagonals
rectangle, square, isosceles trapezoid
300
What are the shapes that can be classified as a polygon, quadrilateral, and parallelogram?
Rectangle, Square, and Rhombus
300
What is the correct formula for trapezoid midsegment theorem?
14x-1.6=(4x+1.2+18x-2.4)/2
300
What is the correct equation for finding the length of RY?
RY=√(82+8.42) + 5.8
300
What is reason 5?
A. ASA Congruence Theorem
400
Which shapes have perpendicular diagonals?
kite, rhombus, square
400
Given parallelogram ABCD with diagonal intersecting at E, write an equation that can be used to solve for x. AD=4x, CD=3x+9, BC=6x-8
4x=6x-8
400
Find the value of x
x=1/3
400
What are the lengths of DB and RY?
DB=17.4
RY= 17.4
400
What is reason 6?
D. CPCTC
500
A,D,E
500
Given parallelogram ABCD with diagonals intersecting at B, write an equation that can be used to find x. AB=7x-11, EC= 6x+8, ED= 5x+9,DB=198,
2(5x+9)=198
500
What is the length of FY?
3.7
500
Is trapezoid DRBY an isosceles trapezoid. Does the trapezoid meet the regulations for the contest? Explain why or why not.
Yes, the diagonals are congruent and less than 20 inches.