Answered: One pair of parallel sides proves a…

Name: One pair of parallel sides proves a quadrilateral to be aparallelogra
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: One pair of parallel sides proves a quadrilateral to be aparallelogramO TrueFalse

Math

Geometry

One pair of parallel sides proves a quadrilateral to be a parallelogram

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.1: Properties Of A Parallelogram

Problem 23E: In quadrilateral RSTV, the midpoints of consecutive sides are joined in order. Try drawing other...

See similar textbooks

Related questions

Q: Given quadrilateral ABCD in a parallelogram. Find the mLD.

A: Sum of interior angles of any quadrilateral is 360. For a parallelogram opposite interior angles are…

Q: Use the parallelogram provided to determine which of the following would be sufficient to show that…

Q: coordinate

Q: Is a quadrilateral

A: We have to consider the given statement according to the given information

Q: 15. Can you prove this quadrilateral is a parallelogram? 4

A: Given: Properties of parallelogram: If a quadrilateral having opposite side and opposite angles…

Q: Which best explains if quadrilateral WXYZ can be a parallelogram

A: Hope this example will help you(as the question is incomplete, I have taken my own example to…

Q: Can you show that this quadrilateral is a parallelogram?

A: We have to check

Q: Determine if the quadrilateral is a parallelogram. 8. 9. %23 10.

A: If both pairs of opposite angles are congruent then the quadrilateral is a parallelogram In the…

Q: Must the quadrilateral be a parallelogram? Justify your reasoning.

A: The given figure indicates that, The both pairs of opposite sides are congruent. Hence, as the…

Q: Which quadrilaterals will ALWAYS have at least one line of symmetry. Select ALL that apply. OKite…

A: Lines of symmetry Kite one line of symmetry Trapezoid No lines of symmetry

Q: To prove that a given quadrilateral is a parallelogram, show that two pairs of opposite sides are…

A: Given: To prove that a given quadrilateral is a parallelogram, show that two pairs of opposite sides…

Q: Draw a quadrilateral that is not a parallelogram but that has one pair ofcongruent sides and one…

A: We know that, an isosceles trapezium has one pair of opposite sides equal to each other and the…

Q: A lot is in the form of a parallelogram whose shorter diagonal is perpendicular to its 50 meters…

A: We have to determine the area and perimeter of the lot.

Q: 1. If the bisectors of angles of a quadrilateral enclose a rectangle, then show that it is a…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: The diagonals of DABCD (not shown) are perpendicular. If one diagonal has a length of 10 and the…

A: Find perimeter of the parallelogram.

Q: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is best described as a…

A: We will use the congruent properties of a triangle to prove the statement.

Q: Prove that the figure formed by connecting consecutive midpoints of the sides of any quadrilateral…

A: Given The figure formed by connecting consecutive midpoints of the sides of any quadrilateral

Q: Find the values of x and y that make the quadrilateral a parallelogram.

A: Given, A quadrilateral ABCD is a parallelogram is shown below :

Q: Determine if the quadrilateral must be a parallelogram. Justify your answer ?

A: 1. Both pairs of opposite sides are identical. 2. Both pairs of opposite angles are identical. 3.…

Q: Can you show that this quadrilateral is a parallelogram? yes

A: Parallelogram Definition A parallelogram is a quadrilateral with two pairs of parallel sides. The…

Q: Find the value of x that makes the quadrilateral a parallelogram. Зх + 5 5х - 9

Q: Classify the quadrilateral.

A: Explanation and solutions is given below....

Q: Give the most specific name for the quadrilateral.

A: we will see i.n next step

Q: A quadrilateral with both pairs of opposite angles congruent is a_____

A: Given statement is "A quadrilateral with both pairs of opposite angles congruent."

Q: Show that a quadrilateral is a parallelogram if one pair of its opposite sides are equal and…

A: Consider a quadrilateral whose one pair of its opposite sides are equal and parallel.

Q: Which of these shapes can be classified as a polygon, quadrilateral, and a parallelogram?

A: Definition of PARALLELOGRAM : In Euclidean geometry, a parallelogram is a simple…

Q: Select the sides of the quadrilateral shown below that are parallel. MUTIPLE CHOICE

Q: 11. Can you prove this quadrilateral is a parallelogram? K

A: No, this quadrilateral can not be proved to be parallelogram due to insufficient condition.

Q: If the diagonals of a parallelogram are perpendicular then what would be the best and most…

Q: Draw a quadrilateral such that exactly three sides are congruent and twopairs of angles are…

A: A quadrilateral is a four-sided, two-dimensional polygon whose figure made up of straight sides. A…

Q: If a quadrilateral is a parallelogram, then opposite angles are complementary.

Q: For which quadrilaterals do the diagonals bisect each other, have the same length, and intersect at…

A: The geometrical figure that has four sides is called the quadrilateral. The rectangle, square,…

Q: If a triangle is a complete 3-point, a quadrangle is a complete 4-point, a trilateral is a complete…

A: Given A triangle is a complete 3-point, quadrangle is a complete 4-point, a trilateral is a complete…

Q: If two parallel lines AB and CD are intersected by transversal Im then, show that the quadrilateral…

A: The given figure is - Given that AB and CD are parallel. An quadrilateral is formed by the bisector…

Q: determine whether the quadrilateral is a parallelogram using the indicated method.

Q: If both a parallelogram and triangle have the same base and altitude, then the area of the…

A: Given: If both a parallelogram and triangle have the same base and altitude, then the area of the…

Q: Both pairs of opposite sides of a quadrilateral are parallel. Which specialkind of quadrilateral…

A: Given: Both pairs of opposite sides of a quadrilateral are parallel.

Q: For which quadrilaterals do

A: Given, a quadrilateral in which the diagonals bisect each other and have the same length.…

Q: Draw a quadrilateral that has exactly 4 lines of symmetry and show those lines of symmetry.

A: Line of symmetry is defined as the axis or imaginary line that passes through the center of the…

Q: Connect the midpoints of each quadrilateral below. What is the most precise classification of the…

Q: To prove that a given quadrilateral is a parallelogram, show that the diagonals bisect each other.…

Q: A quadrilateral has _____ sides 1 4 -4 -1

Q: What quadrilaterals have both pairs of opposite sides are congruent?

Q: Segments that join opposite vertices in a quadrilateral are called (medians, diagonals).

A: solution is given below

Q: All parallelograms are quadrilaterals

A: A quadrilateral is a polygon in plane geometry with 4 edges and 4 vertices. A parallelogram also…

Q: Which quadrilaterals always have diagonals that are congruent

A: Which quadrilaterals always have diagonals that are congruent

Q: values of x and y that make the quadrilateral a parallelogram.

A: 17 in Parallelogram opposite angles are equal .

Q: If the diagonals of a quadrilateral meet in a right angle, then the quadrilateral is best described…

A: The diagonals of a parallelogram does not always meet at 90 degrees

Q: Draw two segments that are both parallel and congruent. Connect their endpoints to form a…

A: Consider the quadrilateral whose two segments AB and DC that both are parallel and congruent. And…

Q: If the diagonals of a quadrilateral are perpendicular bisectors of each other (but not congruent),…

A: Consider a quadrilateral whose diagonals are perpendicular bisectors of each other but not congruent…

Topic Video

Question

One pair of parallel sides proves a quadrilateral to be a
parallelogram
O True
False

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Quadrilaterals$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

Two sets of rails railroad tracks are equally spaced intersect but not at right angles. Being as specific as possible, indicate what type of quadrilateral WXYZ is formed.
In quadrilateral RSTV, the midpoints of consecutive sides are joined in order. Try drawing other quadrilaterals and joining their midpoints. What can you conclude about the resulting quadrilateral in each case?
What type quadrilateral is formed when the midpoints of the sides of an isosceles trapezoid are joined in order.
In quadrilateral ABCD, the midpoints of opposite sides are joined to form two intersecting segments. Try drawing other quadrilaterals and joining opposite midpoints. What can you conclude about these segments in each case?
A trapezoid is a four-sided figure that contains one pair of parallel sides. Which sides of the trapezoid MNPQ appear to be parallel?
A quadrilateral RSTV is circumscribed about a circle so that its tangent sides are at the endpoints of two intersecting diameters. aWhat types of quadrilateral is RSTV? bIf the diameters are also perpendicular, what type of quadrilateral is RSTV?
The state of Nevada approximates the shape of a trapezoid with these dimensions for boundaries: 340 miles on the north, 515 miles on the east, 435 miles on the south and 225 miles on the west. If A and B are points located midway across the north and south boundaries, what is the approximate distance from A to B?
a Is it really necessary to construct all three bisectors of the angles of a triangle to locate its incenter? b Is it really necessary to construct all three perpendicular bisectors of the sides of a triangle to locate its circumcenter?
Given that rectangle ABCE is similar to rectangle MNPR and that CDEPQR, what can you conclude regarding pentagon ABCDE and pentagon MNPQR?
Two streets meet to form an obtuse angle at point B. On that corner, the newly poured foundation for a building takes the shape of a parallelogram. Which diagonal, AC- or BD-, is longer?
What type of trapezoid a has congruent diagonals. b has congruent base angles.
When the rectangle in the accompanying drawing whose dimensions are 16 by 9 is cut into pieces and rearranged, a square can be formed. What is the perimeter of this square?