2. Show that a quadrilateral whose opposite sides are equal is a paral- lelogram, but that the converse is not true. (A parallelogram is defined to be a quadrilateral whose opposite sides lie on parallel lines.)

Q: Given: Quadrilateral POST is an isosceles trapezoid with OS I PT. ER is its median. a. If OS = 3x -…

A: Given quadrilateral POST is an isosceles trapezoid with OS∥PT and ER is its median.

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

A:

Q: Is the following statement always true, sometimes true, or never true? Justify your response. Given…

A: Here we describe the given statement problem.

Q: The Converse of the Corresponding Angles Theorem states that if twO coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

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: 1. State the definition of a rhombus and one property which applies only to a rhombus but not to any…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4. In quadrilateral RSTU, the diagonals bisect each other. Which of the following could NOT be RSTU?…

A:

Q: The definition of a rhombus is a quadrilateral that has four congruent sides. O True O False

A:

Q: Can you prove the quadrilateral is a parallelogram based on the given information? Explain. 11.

A: if the pair of opposite angle are equal then a quadrialteral is a parallelogram.

Q: 3. Conduct a formal proof to prove that the diagonals of an isosceles trapezoid are congruent.

A: Given: Consider the isosceles trapezoid ABCD shown below: AB=CD To prove: AC≅BD

Q: Construct a copy of the line segment below. ald U V

A: Note : As per out guidelines we are suppose to answer only one question. Since you have asked…

Q: Given quadrilateral WXYZ with coordinates W(4, 5), X(9, 4), Y (8,0) and Z(3, 1). Prove or disprove…

A: Quadrilateral is parallelogram if diagonals bisect each other

Q: If one pair of opposite sides in a quadrilateral is congruent, then the quadrilateral is a…

A:

Q: If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a trapezoid. O…

A:

Q: In quadrilateral RSTU, RT and SU intersect at point M, so that RM TM and RS is parallel to TU. Which…

A:

Q: Can you prove this quadrilateral is a parallelogram? J

A: The solution is given below.

Q: 4. Construct the perpendicular bisector of this segment.

A: Given problem:-

Q: If a parallelogram is a rectangle, then its diagonals are a) perpendicular. b) congruent. c) none of…

A: diagonals are ?

Q: 6. Classify the following quadrilaterals (use the most specific name). a) b) c) 94° noltemmoini…

A: Given,  The quadrilaterals in (a), (b) and (c).  We have to classify the quadrilaterals

Q: Can the following quadrilateral be proven to be a parallelogram based on the given​ information?

A: We can answer the question as below.

Q: Determine the values of x and y to justify that the given quadrilateral is parallelogram.

A: Parallelogram have opposite sides parallel. Sum of any two adjacent angles of parallelogram is equal…

Q: Prove that if A is a point on the perpendicular bisector of line segment BC then A is the same…

A:

Q: Which of the following statements must be true in order to prove that a quadrilateral is a…

A: There are main 4 properties of a parallelogram

Q: A student claims that the circumference of a semicircle with diameter AB is equal to the sum of the…

A: Circumference of circle=πD  D = diameter

Q: Af noon, ship A is 20 kilometers north of Ship B. Ship A is fraveling south at 50 kilometers per…

A: Ships at Initial positions = A and B Positions of ships after time t =C and D Then AC=50t (in Km)…

Q: Prove that if a line bisects one side of a triangle and is parallel to a second side, then it…

A: Basic proportionality Theorem of triangle is define as if a line drawn parallel to one side of…

Q: 4. The line segment that joins the midpoints of the nonparallel sides of a trapezoid is parallel to…

A: A trapezoid is a quadrilateral with one pair of parallel sides. Consider the figure given below:…

Q: The perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a…

A:

Q: ABCD is a quadrilateral and G, H are the middle points of AC, DB. If CB, DA are produced to meet in…

A:

Q: 8. Can you prove this quadrilateral is a parallelogram? H.

A:

Q: Determine if MN is parallel to JL 15 王 18

A: By basic proportionality therom if a line divides any two sides of triangle in same ratio then the…

Q: Can the following quadrilateral be proven to be a parallelogram based on the given​ information?

A: We will prove the given quadrilateral is a parallelogram or not in the following step.

Q: Prove that a parallelogram is a rhombus, a parallelogram with four equal sides, if and only if its…

A: Given : ABCD is a parallelogram              AB≅BC              AC⊥BD Prove : ABCD is a rhombus

Q: Can you prove this quadrilateral is a parallelogram?

A:

Q: When parallelograms are rectangles Prove that a parallelogram is a rectangle if and only if its…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: A factory is to be built on a lot measuring 300 ft by 400 ft. A local building code specifies that a…

A:

Q: 16) Can you prove that the quadrilateral is a parallelogram based on the given information?Explain.

A:

Q: In a triangular space, every straight line, no tomb districts, are parallel i True false

A: The given statement is

Q: A quadrilateral with both pairs of opposite sides parallel is classified as a: kite trapezoid…

A: A quadrilateral with both pairs of opposite sides parallel then this is classified as ....

Q: 4 A parallelogram with four right angles is best classified as a: Kite Rhombus Rectangle Isosceles…

A:

Q: prove that if A is a point on the perpendicular bisector of line segment B-C  then A is the same…

A: Prove that if A is a point on the perpendicular bisector of line segment B-C  then A is the same…

Q: Show that if a line is drawn from the vertex of an isosceles triangle that bisects the base of the…

A: Let ABC is an isosceles triangle such that AB=AC. Let AD is the bisector of angle A. To prove BD=BC…

Q: Show that quadrilateral RSTV with vertices R(- 5, - 3), S(1, – 11), T(7, -6), and V(1, 2) is a…

A: Solution: Consider the given that RSTV has vertices R(-5, -3) , S(1, -11), T(7, -6), and V(1, 2)…

Q: 1. Prove analytically that the lines joining the midpoints of the adjacent sides of the…

A:

Q: A quadrilaterial with exactly one pair of opposite sides parallel is classified as Trapezoid…

A: Given that : A quadrilateral with exactly one pair of opposite sides parallel is classified as

Q: 5. Given that a quadrilateral on the coordinate plane has consecutive sides that are not congruent…

A:

Q: %23 W Two sets of rails (railroad tracks are equally spaced) intersect but not at right angles.…

A:

Q: A trapezoid is a quadrilateral that has one pair of parallel sides. False True

A: We have whether the statement, ''A trapezoid is a quadrilateral that has one pair of parallel…

Q: Construct an equilateral triangle & a square from a wire of 100m together, such that their area is…

A:

Q: Show that the quadrilateral with vertices P(1,2) Q(4,4), R(5,9), and S(2,7) is a parallellogram by…

A: The given vertices of the quadrilateral are: P(1,2) Q(4,4), R(5,9), and S(2,7) Since the diagonal of…