Given: quad. EFGH in which m LEFG 93; m ZFGH = = 20; m L GHE = 147; m L HEF Prove: EFGH is not a convex quadrilateral.

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: 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 sides of ABCD are not all the same length, and ABCD is a planefigure. ABCD is a square or a…

A: The sides of ABCD are not all the same length, and ABCD is a planefigure. we have to find ABCD is…

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

A: The quadrilateral with one pair of parallel sides is a trapezoid, not a parallelogram. for a…

Q: 6. Given that the quadrilateral EFGH is a trapezoid, m/H=66° and m/HEG = 76° calculate m/FEG E F H…

A:

Q: 28.) Given: Quadrilateral ABCD with AB = DE Prove: DC > AB 230 3.3 HNEDE2 2KEICH OE B &2EW (C C E

A:

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: In the diagram below of AACT, D is the midpoint of AC, O is the midpoint of AT, and G is the…

A: Geometry

Q: For regular octagon ABCDEFGH, a) are quadrilateral ABGH and quadrilateral BCFG congruent? b) are…

A: Given: A regular octagon ABCDEFGH is given. To determine: a) Are quadrilateral ABGH & BCFG…

Q: When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller…

A: Characteristics of a rhombus All sides are equal.   (i) Diagonals bisect each other at right…

Q: A quadrilateral is defined as a parallelogram if it has two pairs of parallel sides. True O False

A: Using property of parallelogram,

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: 3. Given: Quadrilateral LIKE is a kite with LI = IK and LE = KE. a. LE is twice LI. If its perimeter…

A: Given- Quadrilateral LIKE is a kite with LI≅IK and LE≅KE. To Find- (a) The side LE, if LE is twice…

Q: 5. Given that the quadrilateral EFGH is a trapezoid, m/H=7S and m/HBG= 72 calculate m/FGE E F H G

A:

Q: 5. Which of the following is TRUE for the given quadrilateral?

A: The true Statements follow :   A : m∠T + m∠S = 180° E : TU is parallel to SW  J : STUW is a…

Q: EFGH is a quadrilateral inscribed in O P with m Z E =72° and m ZF = 49°. Find m Z H. H E

A: If a quadrilateral is inscribed in a circle, such quadrilaterals are called cyclic quadrilateral.…

Q: GIVEN: Quadrilateral BCDE, BE bisects ABD, XBDC = 4C, and m4E> mx. ABE. PROVE: BC > ED.

A:

Q: L is the midpoint of KN and MP, which rule will be used to justify and prove that both triangles are…

A: Two triangles are said to be congruent if their corresponding sides are of equal length and their…

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

A: diagonals are ?

Q: Classify the quadrilateral In as many ways as posslble. Select all that apply. A quadrilateral…

A: Square is a quadrilateral whose sides are equals and any two sides makes right angle.  So the…

Q: The diagonals of quadrilateral ABCD intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what…

A:

Q: Given the information below, use the drop down menus to correctly complete the statement. Glven: LAN…

A:

Q: The figure shows quadrilateral RSUV with RV || SU and congruent segments as marked. R

A: To Prove: The side RU bisect SV. Concept used: ASA congruency: If two angles and the included side…

Q: Given quadrilateral DEFG is an isosceles trapezoid. Find DE.

A:

Q: In quadrilateral EFGH, FG HE, and FG || HE. Name the postulate that could be used to prove AEHF…

A: In the given quadrilateral EFGH, FG= HE     and FG is parallel to HE FG is parallel  to HE   and…

Q: ABCD is a quadrilateral with BE = ED. B D. 1. Given that EC = 8.4 cm, what is the %3D E.

A: Definition:   The diagonals bisect each other. One pair of opposite sides is parallel and equal in…

Q: - If George measures that one triangular plot has BC- AC = 4.9 miles, and mzC = 78°, and the other…

A: Draw the both triangles and set the relation between them.

Q: Which of the following conditions is NOT sufficient to prove that a quadrilateral is a…

A: We can find the answer as below.

Q: For a quadrilateral to be a square, the diagonals must be con para llel grue nt perp endi cula con…

A: We can find the answer as below from the options

Q: Given: Quadrilateral LIKE is a kite with LI IK and LE KE. a. LE is twice LI. If its perimeter is 21…

A: We have a quadrilateral LIKE in the shape of a kite. LI¯≅IK  and LE¯≅KE It looks like: Part(a) We…

Q: In the given figure, PQRS is a parallelogram, whose diagonals PR and SQ intersect at O. If OR = 7.5…

A: it is given that 'OR' =7.5 cm

Q: Let AC and BD be two line segments that bisect each other at E, with AC & BD. Prove that ABCD......…

A:

Q: 2. Show that a quadrilateral whose opposite sides are equal is a paral- lelogram, but that the…

A: All side of quadrilateral are equal and opposite side of parallelogram are equal. see 2nd step.

Q: Here are two more quadrilaterals. 120 120 H 1 120 120° 3 60 60° 60° 60 4. 5. Kiran says that Polygon…

A: For being a scaled copy of the quadrilateral, the ratio of the sides after transformation has to be…

Q: An isosceles trapezoid has two congruent legs. O True O False

A: Solution is given below:

Q: 2. If quadrilateral ABCD = quadrilateral EFGH, identify the congruent parts. 43 ZA = EF = ZB = FG =…

A: If quadrilateral ABCD congruent quadrilateral EFGH then identify all congruent part .

Q: Find the value of x and give the name of the property that proves the quadrilateral is a…

A:

Q: Let AC and BD be two line segments that bisect each other at E, with AC & BD. Prove that ABCD......…

A:

Q: 9. Let ABCD be any quadrilateral. Denote the midpoints of the sides by E, F, G, and H. Prove that…

A: use the property of parallel lines and midpoint theorem to prove EFGH is parallelegram

Q: Given quadrilateral A(2,-1) B(1,3) C(6,5) D(7,1), you want to prove that it is a parallelogram by…

A: We prove, opposite sides are equal or congruent in lenth.

Q: 1. Two consecutive sides of a parallelogram measure 3 m and 8 m, respectively. What is the perimeter…

A: "Since, you have asked multiple questions, we will solve the first questionfor you. If you want any…

Q: A square with sides of length 2 in. rests (as shown) on a square with sides of length 6 in. Find the…

A: Given that - AE = EF = FG = AG = 2 inAnd,AH = HC = CD = AD = 6 inWe see that,∠AEB and ∠DEC both are…

Q: For this question, assume the Parallel Postulate P-1 (a) Define what it means for DABCD to be a…

A: parallel postulate: When any traversal is passing through two lines or the transversal is falling on…

Q: Given: Quadrilateral POST is an isosceles trapezoid with OSI| PT, ER is its median. 3. If OS=2x-6,…

A:

Q: In quadrilaterals ABCD and EFGH, AB || DC, EF || HG, ZA = LE, and LB = LF. a) Are quadrilaterals…

A: Given that, (i) In quadrilaterals ABCD and EFGH, AB is parallel to DC and EF is parallel to HG. (ii)…

Q: 1 Given: Quadrilateral POST is an isosceles trapezoid with OS || PT. ER is its median. a. If OS = 3x…

A:

Q: If a pair of sides in a quadrilateral is both congruent and parallel, then the quadrilateral is a…

A: The correct option is 1st option i.e. True i.e. if a pair of sides in a quadrilateral is both…

Q: 11. For what value of x is the quadrilateral a parallelogram?

A:

Q: For each of the following quadrilaterals, select all the propertles that must be true. Two palrs of…

A: Only properties which mist be true are:-

Q: . In quadrilateral ABCD, if ∠B=60°, ∠A=2∠B, and ∠A=∠C, prove that ABCD is a parallelogram.

A: