Given: ABCD is a parallelogram and AABC S ADCB. Prove: AB 1 BC.

Q: Choose the letter that matches the additional information needed in order to use AAS to prove the…

A: we will find the required condition.

Q: Consider the following quadrilateral with diagonal AC and from which it is known that AB || CD and…

A: Given that AB∥CD , AD∥BC AC is diagonal  Now, we know that ∠A+∠B+∠C+∠D=360° ∠A+∠B=180° ∠D+∠C=180°…

Q: In the accompanying diagram of rhombus ABCD, diagonal AC is drawn. If MZCAD =30, find MZABC. D. 30%…

A: Consider the following figure: □ABCD is a rhombus. AC¯ is a diagonal of □ABCD. m∠CAD=30°

Q: What additional information is needed in order to prove that the triangles are congruent by the ASA…

A: Given,

Q: Which information does not prove that quad. ABCD is a parallelogram? b. AD | BC; AD = BC a. AC and…

A: (a) If AC¯ and BD¯ bisect each other, then ABCD is a parallelogram.  (b) If AD¯∥BC;AD≅BC, then ABCD…

Q: Use deductive reasoning to show that the two triangles are congruent Given that LFAB LGED and C is…

A:

Q: Given a triangle ABC with points D. E. and Fas midooints of sides AC AB, and BC respectively. If AB…

A:

Q: Suppose the parallelogram ABCD shown below has diagonals AC = 9 and BD = 9. What is the length of…

A:

Q: Determine the method by which the triangles shown are congruent.

A: Here given graph as

Q: Consider the figures. Which two triangles are congruent?

A:

Q: Ms. Ochabe had this parallelogram on the board and asked the class to determine the length of the…

A: The given parallelogram is:

Q: Alicia wants to use the picture below to prove that it is possible to cut Parallelogram ABDC into…

A: Option A IS CORRECT.

Q: AC and D8 are diagonals of the quadrilateral ABCD AO-OC, 80-OD. Prove ABCD is a parallelogram.

A:

Q: In parallelogram ABCD, find, to the nearest degree: a) mZA b) mZB A B 10-

A: Given a parallelogram ABCD. we have to find measure of A and B

Q: In the diagram of AABC below, DE || AB. C A If CD = 4, CA = 10, CE = x + 2, and EB = 4x- 7, %3D %3D…

A: We have given DE||AB in ∆ABC Then, By the triangle proportionality theorem: If a line parallel to…

Q: Calculate the area of a rhombus with sides measures 10 inches and a longer diagonal measuring 16…

A: 96 in^2

Q: If AC 2+ 14 and AE = 8v + 2, find the value of v that makes quadrilateral BCDE parallelogram.

A:

Q: Given parallelogram ABCD, find AC. 3(2x + 4) 4x + 28 A D O 8 O 30 60 O 120 E.

A: Given AC=3(2x+4)=6x+12BD=4x+28

Q: Ms. Ochabe had this parallelogram on the board and asked the class to determine the length of the…

A:

Q: In trapezoid ABCD, AB || DC and mZA = AD = 4, and BC = 90°. If AB = 7, 5, find the two possible…

A: First case: When DC>AB. Construction: BE is perpendicular to DC. Concept used: Pythagoras…

Q: Consider parallelogram ABCD. A B E How can it be proven that the diagonals bisect each other? Drag…

A: ABCD is an parallelogram.

Q: For which pair of triangles would you use ASA to prove the congruence of the 2 triangles? A) B) C)…

A:

Q: Which method can be used to prove that the triangles are congruent? O SAS O ASA o Not possible with…

A:

Q: In the accompanying diagram of a right triangle ACD, B lies on AC, BD is drawn such that m2CDB = 27,…

A: This question is based on Trigonometric Ratios.

Q: In rhombus ABCD, with diagonals AC and DB, AD = 10. If the length of diagonal AC is 12, what is the…

A: Using the given information, draw a rhombus and label it. In a rhombus, the diagonals are…

Q: Ms. Ochabe had this parallelogram on the board and asked the class to determine the length of the…

A: The parallelogram with two labelled congruent sides is as follows:

Q: Complete the following statements. a. If AY SR= ANVD, then DV = ? and MZRYS =__? _ . b. If AB…

A:

Q: Given that AD is the perpendicular bisector of BC, AB = 7.4, AC = 7.4, and BD = 3.2, identify BC. В…

A: Given that AB=7.4 AC=7.4 BD=3.2 and BC=? Since AD is perpendicular bisector it bisects the BC at 90…

Q: 2. Given: ABCD is a parallelogram, DE I AF, and CF 1 AF Prove: DE = CF D C Statement Reason A E

A:

Q: In parallelogram ABCD, point o 1s intersection of diagonals AC and 15 and AB=6, Pind sum BD. If the…

A: We know that diagonals of a parallelogram bisects each other. So we can say that OD = OB and OA=…

Q: 3. If ABCD is a parallelogram, AD = 14, EC = 11, mZABC = 64°, mZDAC = 71°, and m2BDC = 25 °, find…

A:

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: Which postulate proves these two triangles are congruent? A. HL B. SSA C. ASA D. None, not congruent

A:

Q: 8) HL D.

A: topic- congruent triangles

Q: In the parallelogram ABCD given below, find ZA, ZB, 2C and <D. D 2x

A:

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: ABCD is a parallelogram. If AB = 9x + 27, BC = 6x+ 12 and DA = -2x + 36, find both x and the length…

A: Given : ABCD is a parallelogram. AB = 9x+27BC = 6x+12DA = -2x+36

Q: . ABCD is a parallelogram, ABCD is a parallelogram, if AO = 3, BO = 4 AB = 6, AC + BD = ? %3D

A: Given data: The given length AO is AO=3 units. The given length BO is BO=4 units. A parallelogram is…

Q: In the figure below, if BE is the perpendicular bisector of AD, what is the length of segment AB? B…

A: We have to determine the length of segment AB

Q: DE is a midsegment of triangle ABC. If DE = 5, what does BC = ? C BC = Blank 1:

A: Given data: The length of midsegment is DE=5.

Q: For the​ parallelogram, AB=11 and BD=14. Find the length of AC.

A:

Q: In parallelogram ABCD, AB = x+9, BC = x+5, and CD = 2x-3. Find the length of side AD.

A:

Q: If ABCD is a parallelogram. AD = 14, EC = 11, m/ABC = 64°, MZDAC 71°. and mZBDC 25 , find each…

A:

Q: What method can be used to prove the triangles below are congruent? V. Y W

A: Given, A △XYZ   and  △VWZ We have to prove the  △XYZ   and  △VWZ are congruent.

Q: 2. In the figure, POST is a parallelogram and POR is an isosceles triangle. PR = OR, TPO = 136 and e…

A:

Q: What additional information would be necessary to prove that the two triangles, rXBY and rZAY, are…

A:

Q: In parallelogram ABCD (not shown), AB 8, mZB 110°, and BC 5. Which diagonal has the greater length?

A: We sketch the situation roughly.

Q: Given an acute-angled triangle ABC, construct a square with one side lying on BC while the other two…

A: Image is attached with detailed explanation.

Q: Suppose that in right triangle ABC with right angle at C, AC=b, AB=c, BC we drop perpendicular from…

A: Given,

Q: GIVEN: Quadrilateral ABCD with AC 1 BD [See Figure 8.24(a).]; AC d, and BD = d2. PROVE: AABCD =…

A: Given that, in quadrilateral ABCD, AC is perpendicular to BD. AC = d_1  BD = d_2 Let AE = h Then, CE…