. Given: ZABC is supplementary to ZCBD BÉ bisects ZABC BÉ bisects ZCBD Prove: ZEBF is a right angle RE 1, 4 A B D 2.

Q: 44. Given: PQRS is a rectangle; LA is a right angle. Prove: BS · RC = PS • QR = (PS) · QR A P. B R C

A: here given that ,  PQRS is a rectangle ; ∠A is a right angle, prove :- BS·RC=PS·QR=(PS)2

Q: Given: DE AB, EC BC, 4B <E Prove: C is on the perpendicular bisector of AD Statements Reasons

A: Based on the Sides equality in the Hexagonal polygon, DE = AB and BC = CE Here angle according to…

Q: A D F Using only the marking in the diagram, what theorem can be used to show that the two triangles…

A: Solution: Two triangles are said to be congruent if the three sides and the three…

Q: The perpendicular bisector of the sides of AABCintersect at X. If the distance from B to X is 2/15,…

A: We have to find

Q: 7. Given: C is the Midpoint of AD, <A <D Prove: Triangle ABC is congruent to Triangle CDA D B C E A

A:

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

A: The Angle – Angle – Side rule (AAS) states that two triangles are congruent if their corresponding…

Q: In quadrilateral ABCD, the diagonals intersect at point T. Thomas has used the Alternate Interior…

A: Concept: Congruency: Triangle congruence: Two triangles are said to be congruent if their three…

Q: 15. What theorem would be used to prove the triangles below congruent? V W Y. z- SSS SAS AAA SSA

A: Side angle side (SAS)  If two sides and the included angle of one triangle are equal to two sides…

Q: Based on the diagram shown, which of the following statements is true? F 17 15 38 14 26 O AC is…

A:

Q: Use the given information to complete the proof of the following theorem. The angles opposite the…

A: Given problem:-

Q: Given: BE = BD and ZABE = ZCBD. Prove: AABC is an isosceles triangle. Reason Given Select a…

A: Given, BE¯ ≅ BD¯  and  ∠ABE ≅ ∠CBD  We have to prove ∆ABC is an isosceles triangle.

Q: Given: BD is the angle bisector of ZABC and ZADC. | Prove: ΔΑBDΔCBD A B Statements D Reasons 1) ? 1)…

A:

Q: 2) Given: ACand DF bisect each other at E Prove: aDEA = AFEC F A B Statements Reasons 1 Given 2 Seg…

A: 1)Given:- AC¯ and DF¯ bisect each other at E. 2) E is the seg bisector that is AE¯=EC¯ and DE¯=EF¯

Q: Given: BD bisects AC and BD 1 AC. Prove: AABE ACBE. Step Statement Reason BD bisects AC Given BD 1…

A: GIVEN : BD bisects AC and BD⊥AC

Q: E D What else has to be shown to be congruent so the 2 triangles are congruent by SAS O AC CE O AD…

A: What else has to be shown to be congruent so the 2 triangles are congruent by SAS

Q: MZTQR = 10. If ZCDE is a straight angle, DE bisects ZGDH, MZGDE = (8x - 1), mZEDH = (6x + 15), and…

A: The given measures are,∠CDE is a straight angle.m∠GDE=(8x-1)°m∠EDH=(6x+15)°m∠CDF=43°

Q: prove/ DEB AB. (Mark the diagram, too) Given: AB÷ZY AC÷ZX CB÷XY 1. 2. Prove: A ABC AZYX 4. 3.

A: solution :- all 3 sides are equal to each other

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

A: We have to check

Q: The bisectors of two adjacent supplementary angles form a right angle. ZABC is supp. to ZCBD BÉ…

A: Given ∠ABC is supplementary to ∠CBD. BE→ bisects ∠ABC. BF→ bisects ∠CBD. We have to prove that ∠EBF…

Q: GIVEN: RT bisects angles STW and SRW. ARST = ARWT. PROVE: R W

A: Here in this question given that two triangles ∆RST And ∆RWT. And also given that line RT bisect…

Q: Consider the following pentagon. Which of the following is false? OA. DÅ = w - V O B. EC = -u+v+r…

A:

Q: What type of construction is illustrated in the figure? A D o An angle congruent to ZD OThe…

A: Observe that the arc cutting are drawn from both the sides of arc on point D.

Q: 1. If AABC = ADEF, which segment is congruent to AB? А. ВС В. АС C. DE D. EB 2. If ASUM = APRO,…

A:

Q: Given: DB || EC and ZD & ZE are right angles. Prove: A ADB ~ A BEC E 12 4. A

A: In the question it is asked to prove ∆ADB~∆BEC, Given values, DB∥EC ∠D=∠E=90°.

Q: Given: AB is parallel to DE Prove: ∆ABC is congruent to ∆EDC - The figure is forming a vertical…

A: C is the midpoint of BE AB∥DE AD and BE are two intersecting line segments ∠BCA=∠DCE…

Q: Suppose ZC LB, ZD LA, AE BE and CE- DE Does that prove that the triangles are congruent? Justify…

A: We have to solve

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: 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.

Q: Based on the image below, determine the length of BC and the theorem that supports it: * B 6.4 2.3 O…

A:

Q: In quadrilateral ABCD, the diagonals intersect at point T. Jasmine has used the Alternate Interior…

A:

Q: Given AMTR and A KAL with MR=KL, ZM =ZK and TM AK. Angle T is congruent to angle v.

A: The angles and sides of two triangles can be compared using SAS or SSS theorems. In SAS theorem, if…

Q: Which of the following is not a method for proving two triangles congruent?a. HL b. AAS c. SSA d.…

A: Which of the following is not a method for proving two triangles congruent? a. HL b. AAS c. SSA d.…

Q: Given angles P, Q. R, and T shown, which staternent best describes a characteristic which two of the…

A:

Q: If JKLM is a rhombus, MK = 30, NL = 13, and ZMKL = 41°, find each measure. %3D %3D K NK = JL = angle…

A:

Q: In parallelogram PQRS, OP is extended to point T and ST is drawn. R T If ST = SP and mz R = 130°,…

A: In a parallelogram opposite angles are equal. Also the sum of angles in a triangle add to 180°. When…

Q: Which of the following side is the shortest in tríangle MAL? A) MA B) AL C) LM D) RL In triangle MAR…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: GIVEN: AD is angle bisector of ZBAC AB AC PROVE: BD = DC B D C

A:

Q: Complete the proof below by matching the correct reason to the statement in the table. Given: ZBAC =…

A: Given: ∠BAC≅∠EDC BC≅EC Since it is given that∠BAC≅∠EDC thus, the correct reason for their…

Q: If you know that Point M is the midpoint of TS and UR, which of the triangle congruence methods…

A:

Q: F. 124 A 64 If AF 1 EF and AF 1 AD, find the measure of each interior angle of the irregular polygon…

A: Given that AF is perpendicular to EF which implies that the value of the interior angle AFE is 90o.…

Q: A student draws AXY Z and AEFG so that mX = m/E = 29.5", XY = EF = 47 mm, and XZ = EG = 63 mm. Which…

A: We have,    Side(XY)= side(EF)    Angle(x)= Angle(E)    Side(XZ)=side(EG)

Q: What value of I would prove that ray AB is an angle bisector of ZCAD? C (2x+10)B (x+ 15)°

A: Given that ∠CAB=2x+10  , ∠BAD=x+15   and Ray AB is angle bisector of ∠CAD   i.e ∠CAB=∠BAD   i.e…

Q: Given that three cvents A, B and C are such that P(A) = P(C), P(AnC) = P(AU C) = 10 P(C|B) = and P(B…

A: P(A U B) = P(A) + P(B) - P(A∩B) P(A|B) =P(A∩B)P(B)

Q: A В 丰 E D 丰 C. Note: DB and AC are segments.

A:

Q: Given: D is the midpoint of ac, Ed is congruent to Fd and angle ADE is congruent to CDF prove EB is…

A: Given: D is the midpoint of ac, Ed is congruent to Fd and angle ADE is congruent to CDF prove EB is…

Q: Given: BD I AC, BD bisects LABC Statements Reasons 1.) BC 1 AC, BD bisects ZABC 1.) Given 2.) ZADB…

A: To give reasons for the given options.

Q: Given AMTR and A KAL with MR KL, ZM =ZK and TM =AK. Angle T is congruent to angle R. Back Next

A:

Q: Suppose that square PQRS has 15-cm sides. G and H are on QR and PQ, respectively, so that PH and QG…

A: We will solve the following.

Q: Given: BD is the angle bisector of LABC and ZADC. Prove: AABD = ACBD Statements Reasons 1) _? 1) ?…

A: