For what value of x and y must Efgh be a parallelogram?
x 5
EFGH must be a parallelogram for x 5 and y 5 . Theorem 6-8 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Is Efgh a parallelogram?
(1) EFGH is a parallelogram.
How do you prove that Efgh is a parallelogram?
To Prove, EFGH is a parallelogram. H is mid point of AD and G is mid point of DC. We know, If in a quad opposite sides are equal and parallel then it is a parallelogram.
How do you find the value of X that makes the quadrilateral a parallelogram?
Divide each side by 2. When x = 4, FN = 5(4) − 8 = 12 and DN = 3(4) = 12. Quadrilateral CDEF is a parallelogram when x = 4. If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram.
Is parallelogram Efgh a rectangle?
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. EFGH is a rectangle 18.
For what value of S and T quadrilateral Efgh be a parallelogram?
Maryam A. Show that EFGH is a parallelogram for s=5 and t=6.
How do you find the value of y?
Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 – y2] / [x1 – x2]. If you know x, you can solve for y to find the y value for the slope of the line.
What condition makes a parallelogram Efgh not a rhombus?
Conclusion: EFGH is a rhombus The conclusion is not valid. If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
What is the value of a B if the quadrilateral is a parallelogram?
Answer: a= 4 & b= 2/3 = 0.66.. Step-by-step explanation: In a parallelogram, opposite sides are equal.
Is parallelogram Efgh a rhombus?
Conclusion: EFGH is a rhombus. The conclusion is not valid. By Theorem 6-5-3, if one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus. By Theorem 6-5-4, if the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
What is always true about a parallelogram?
It is always true. A parallelogram is a quadrilateral where opposite sides are parallel. So a quadrilateral ABCD is a parallelogram if and only if AB is parallel to DC, and BC is parallel to AD. The angles between side AB and adjacent sides AD and BC are supplementary (their measures add up to .
What are the requirements for a parallelogram?
A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent (or equal in measure). A quadrilateral MUST be a parallelogram if it has both diagonals bisecting each other. A quadrilateral MUST be a parallelogram if it has all of its pairs of consecutive angles supplementary.
How many shapes does a parallelogram have?
Parallelograms are shapes that have four sides with two pairs of sides that are parallel. The four shapes that meet the requirements of a parallelogram are square, rectangle, rhombus, and rhomboid .
What are all the parallelograms?
Parallelograms are four-sided shapes that have two pairs of parallel sides. Rectangles, squares and rhombuses are all classified as parallelograms. The classic parallelogram looks like a slanted rectangle, but any four-sided figure that has parallel and congruent pairs of sides can be classified as a parallelogram.