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1. In the parallelogram below, AB is parallel to CD and x-y=40 what is y?

2. Find the area of a rhombus with side length 6 and an interior angle with measure 120 degrees.

3. Which of the following statements are true?

(A) A quadrilateral is a parallelogram if it is a rhombus.

(B) A quadrilateral is a rhombus if it is a parallelogram.

(C) A quadrilateral is a parallelogram if and only if it is a rhombus.

(D) A quadrilateral is a rhombus if and only if it is a parallelogram.

Enter all correct options as a list, separated by commas.

4. Which of the following statements are true?

(A) If a kite is also a parallelogram, then it must be a rhombus.

(B) If a trapezoid is also a parallelogram, then it must be a rhombus.

(C) If a trapezoid is also a kite, then it must be a parallelogram.

(D) If a rhombus is also a trapezoid, then it must be a kite.

Enter your answer as a list, separated by commas.

5. An isosceles trapezoid has side lengths 13,3,13 and 14. What is the perimeter of its Varignon parallelogram?

6. ABCD is a parallelogram such that AB=sqrt(3)*BC. Diagonals line AC and line BD intersect at X and Angle ABC=Angle BXC. Find the measure of Angle ACB in degrees.

Guest Dec 10, 2018

#1**0 **

1 . y is much larger than x in the diagram.....how can x-y be positive 40?

2

ElectricPavlov Dec 10, 2018

#5**0 **

More like they are labelled backwards! Wanted to be sure Q was posted correctly....

ElectricPavlov
Dec 10, 2018