What is the format of this proof given AB BC?

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What is the format of this proof given AB BC?

Transcribed Image Text:Given: AB BC and D is the midpoint of AC. Prove: BD bisects ZABC. Note: quadrilateral properties are not permitted in this proof. Step Statement Reason AB BC 1 Giyen D is the midpoint of AC try Type of Statement B A Note: the segment AC is a straight segment.

What is the format of this proof given AB BC?

Transcribed Image Text:4030201 2 A DeltaMath M Mathway | Algebra Problem S x Microsoft Office Home O https://www.deltamath.com/student/solve/12447672/custom1609818057238 Prove: BD bisects ZABC. Cote: quadrilateral properties are not permitted in this proof. Etep Statement Reason AB BC Given D is the midpoint of AC AD DC A midpoint divides a segment into two congruent segments BD bisects AC A segment bisector intersects the segment to form two congruent segments AABC is an isosceles triangle The triangle has two congruent sides BD BD Reflexive Property ABDA ABDC SS ZBDA LBDC Corresponding Parts of Congruent Triangles are Congruent (СРСТС) Type of Statement ch a

What is the format of this proof given AB BC?

What is the format of this proof given AB BC?

Q: Given: C is the midpoint of BE, B=ZE, and AB DE A D Prove: AABC=ADEC

A: to prove this we have to use triangle congruency.

Q: Given: LBAC LBCA, M and N are midpoints of AB and CB, respectively Show: LAMC LCNA M.

A: Given  ∠BAC≅∠BCA M and N are midpoints of AB and CB , this implies  AM=MBCN=NB To show: ∠AMC≅ ∠CNA…

Q: Given: mzAEB = 90°, E is the C midpoint of both AC and BD Prove: <BDC4ABD 3. A D Statements Reasons…

A: Given: m∠AEB=90°    ……1 E is the midpoint of both AC and BD    ……2   To prove: ∠BDC≅∠ABD

Q: Given: mzAEB = 90°, E is the В C midpoint of both AC and BD Prove: <BDCABD A D

A: Given: m∠AEB=90°, E is the midpoint of both AC and BD. To prove: ∠BDC≅∠ABD. Solution:…

Q: Given: mzAEB = 90°, E is the В C midpoint of both AC and BD Prove: <BDCABD A Statements Reasons 1.…

A: Click to see the answer

Q: In the diagram below, AB = AD and BC = CD. Use the Perpendie Bisector Theorem to prove that AC 1 BD.…

A: Given AB is congruent to AD Also BC is congruent to CD First we check the triangles ADC  and ABC…

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A: Given  m∠AEB=90° E is the midpoint of both  AC and BD. AE=EC,BE=ED since E is the midpoint of both…

Q: Given: M is the midpoint of PQ, N is the midpoint of RS, PQ = RS Prove: PM = RN

A: Click to see the answer

Q: Given: B is the midpoint of AC C is the midpoint of BD D. Prove: AD 33AB

A: Click to see the answer

Q: Let AB = a and BC = b. Point M is the midpoint of BC. If AN = (AB), find the length of NM in terms…

A: Given:                  Length of AB= a,                  Length of BC=b;   Point M is the mid-point…

Q: Given: B is the midpoint of AC and C is the midpoint of BD Prove: AD = 3AB

A: Given:-          B is the midpoint of AC          ⇒AB=BC→             1        and  C is the…

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A: To Determine:  prove that ∆AEB≅∆CBD Given: we have two figures in which we have…

Q: What is the reason for #5? Given: AB=CB, BMLac, and M is the midpoint of AC Prove: <A<C A M C…

A: Using SSS rule.

Q: Given: AB // DC, Eis the midpoint of BC Prove: AABE=ADCE

A: Given that      AB // DC     E is the midpoint of BC .

Q: Given: E is the midpoint of AC, DE = EC Prove: DE = AE

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

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

A: Click to see the answer

Q: GIVEN: AB = DE M is the midpoint of BE, AM = KM, DM = KM. PROVE: AABM = ADEM. A GIVEN: KM is the 1…

A: Click to see the answer

Q: 9. Given: E is the midpoint of AB and CD Prove: Δ4ΕC ΔΒED

A: In the given figure - E is the mid point of AB and CD. Then,AE = BECE = DE

Q: is the mid point of the side ВС of AABC; BE is perpendicular from В to the external bisector of ZBAC…

A: Click to see the answer

Q: In isosceles trapezoid QRST shown below, QR and TS are bases. R If m2Q = 5x + 3 and mZR = 7x- 15,…

A: Given Isosceles trapezoid QRST Given m∠Q = 5x+3   and m∠R = 7x-15we find m∠T

Q: 5. Given: In rectangle ABCD, E is the midpoint of AB, Fis the midpoint of BC, Gis the midpoint of…

A: Click to see the answer

Q: In the accompanying figure, ABCD is a trapezoid in which AD|BC and AD> BC. Prove that if AB=CD, then…

A: To prove the given angle

Q: In the diagram below, tangent AB and secant ACD are drawn to circle O from an external point A, AB =…

A: Use property of tangent line and secant line

Q: The diagonals of parallelogram JKLM intersect at Z. Which of the follwoing statements is true? Your…

A: Click to see the answer

Q: Given: AC bisects ZBCD, LABC = ZADC Prove: AB = AD D.

A: When two triangles are congruent then all of their corresponding sides and angles are congruent too.

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A: Please refer the attached image for complete solution.

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A: Given that TSRQ is an isosceles trapezoid Properties of isosceles trapezoid both pair of base…

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A: Given that:M is the mid-point of RS

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A: In this question we use similar triangle properties to solve.

Q: Frind THE PERIMETER OF RHOMBUS ABCD WITH DIAGONALS AC AND BD INTERSECT AT poiNTE IF BD= 24 AND D AC=…

A: In the above question we have to find the perimeter of the Rhombus ABCD.

Q: the accompanying figure, ABCD is a trapezoid in which AD||BC and AD> BC. Prove that if AB CD, then…

A: Click to see the answer

Q: ABCD is a parallelogram DB intersects AE at point F Given: AF АВ Prove: EF DE D E A

A: ABCD is a parallelogram in which DB intersects AE at point F

Q: 4. JK, KL, and LJ are all tangent to cirele O JA = 13, AL = 12, and CK =9. Find the perimeter of…

A: Click to see the answer

Q: Label a point D outside AABC so that AD WY and ZDAB ZYWX. Since WX AB, AWXY AABD by Now, let E be…

A: Click to see the answer

Q: 2. AT is an angle bisector. ALAT = AL L.

A: The Side-Angle-Side (SAS) conjectute states that if two sides and the included angle of one triangle…

Q: Given: Let AC = a, and BD = b be the diagonals of a rhombus. Suppose a circle with radius OP =r is…

A: Click to see the answer

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: GIVEN: BD bisects ZABC DE 1 BÁ and DF 1 BC PROVE: DE = DF E В F C

A: Given: BD bisect ∠ABC, DE⊥BA, DF⊥BC According to given figure in ∆BDE and ∆BDF ∠BED=∠BFD…

Q: Given : AB I DC, AO an BC intersect at pt E Prove: AE -CE = DE · BE %3D

A: In the figure AB∥DCSo by alternate angle test,∠DCB=∠CBAAnd∠CDA=∠DABAs ∠CED and ∠AEB are opposite…

Q: Given: PR bisects ZORS, ZPSR = ZPQR Prove: APSR APQR

A: Click to see the answer

Q: Consider trapezoid ABCD with AB || DC. M and N are midpoints of AD and BC, respectively. If AB = 12…

A: Consider the trapezoid as shown in the question. Here, the objective is to find MN

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