Prove that: If AD is the angle bisector of A (in triangle ABC), and if u = BD and v = CD, then ас U = C+b' ab v = C+b'

Q: В E F А D

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Q: Given that, in the figure below, ZCBP and ZDAP are both right angles, and BC has length 2, and AB…

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Q: Let ABC be an equilateral triangle with AB = AC, and let AD be the angle bisector of BAC. Show that…

A: Use congruence triangle

Q: 26. Let ABC be an acute angle triangle in which D, E, F are points on BC, CA and AB respectively…

A: According to question, ∆ABC is acute angle triangle, FM = 2, MN = 1, NC = 3.

Q: Let ABC be a triangle, and let AA' , BB' , CC' be diameters in the circumcircle. Prove that triangle…

A:

Q: Let ABC be a r19ht ナと(ang)e w(1ら hY potehuse AL. ASS Ume BF LAC. LeT BD 6e すhc angie bisector of…

A: Given:- In △ABC  AC is hypotenuse.

Q: Let AABC have incircle C(O,r), and let the points of tangency of C(0,r) with BC, AC, AB be D, E and…

A: Tangent is a line that just touches the figure.  Angle bisectors are those line segments that…

Q: . Given: ZABC is supplementary to ZCBD BÉ bisects ZABC BÉ bisects ZCBD Prove: ZEBF is a right angle…

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Q: M 2) A KLJ = A MLN

A: Given data: In ∆KLJ and ∆MLN The length of the side JK=NM. ∠KJL=∠MNL

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: ABC is a right angled triangle right angled at B. If P and Q are the mid - points of the sides AB…

A: Given:

Q: Find the angle between 0 degrees and 360 degrees or between 0 rad and 2pi rad that is coterminal…

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Q: In AWXY, XY = 10, YW = 15, and WX = 13. Which statement about the angles of AWXY must be true?

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Q: 2. In APAD, the given angle is included between which two sides? angles are congrvent So a. ZP b. ZD

A: To find: The two sides in which given angle is included. Given information: (a) ∠P (b) ∠D Image:

Q: AB is perpendicular to AD CB is perpendicular to CD DA is congruent to DC Prove: Triangle ABD is…

A: 1. Statement: AB¯⊥AD¯, CB¯⊥CD¯, DA¯≅DC¯ Reason: Given data of the problem. 2. Statement: ∠A and ∠C…

Q: 5. If LAMP and BMC are right angles, AM= CM and LA = LC, prove that AP = CB. C A M

A: 5. Use ASA congruence rule to prove that two triangles are congruent . If two triangles are…

Q: D is the midpoint of AC, line segment ED is congruent to FD, and angle EDA is congruent to angle…

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Q: a) If Jä| = 2, JB| = 3 and the angle between å and b is, find the length of å- 2b. %3D %3D

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Q: A question and theorem states in the pictures.

A: Given, RS = 12, RT = 6, TS = 9

Q: Use the glven information to prove that AABC AEDC. Given: BC E DC ZBAC LDEC B Prove: ДАBC ДЕDС А…

A: Here we want to prove given triangles are congruent triangles

Q: Given: ZB is a right angle; AB || DE, Prove: ADEC is a right triangle. 1. Proof

A: 4. Statements Reasons ∠B is a right angle, AB∥DE Given. BC⊥AB Definition of rt. ∠. BC⊥DE If…

Q: 11. Given AABC, LB = LCand ZADB is a right angle. Which theorem can prove that ABAD = ACAD? A. SSS,…

A: here option (D) is true

Q: side AB, BC and angle ABC as fellows, AB = 30 m ± 0.10 m , BC= 40 m± 0.15 m , angle(ABC)= 50° ±10',…

A: Consider the above given that: AB=30m±0.10mBC=40m±0.15m∠ABC=50°±10° Consider the triangle:…

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

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Q: f M and N are midpoints of sides AB and BC of triangle ABC, then MN=1/2(AC). True or false?

A: The given statement is

Q: ABCD IS A SQUARE AND BD ITS DIAGONAL PROVE THAT ANGLE ABD IS CONGRUENT TO ANGLE CDB

A: Given: A square ABCD with diagonal BD   To prove: ∠ABD is congruent to ∠CDB i.e. ∠ABD≅∠CDB

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…

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

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Q: If D is the mid-pointof the side BC of a triangle ABC and ZBAD = 0, ZCAD = 6, then show that cot 0-…

A: Given D is the mid point of the side BC of a triangle ABC and ∠BAD=θ,∠CAD=ϕ We are to show that…

Q: exterior angle theorem

A: ∠ADB is the exterior angle of △BDC. So by the exterior angle theorem, we have ∠DCB+∠CBD=∠ADB . . . .…

Q: The following sides make up AABC. АВ - 3, ВС %3D 4, СА3 5 List the angles from smallest to largest.…

A: We can represent this triangle

Q: 2. In rhombus PLAY, name the following: a. angle congruent to ZP. b. sides congruent to PL. c.…

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Q: D is the midpoint of AC, ED congruent to FD, angle EDA congruent to angle FDC. Prove AB congruent to…

A: Topic:- geometry

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

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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: Prove that if a triangle has two congruent angles, then it is isosceles.

A: Triangle with two equal sides is called anisoceles triangle.To prove: If a triangle has two…

Q: Consider the following. regulcr hexreon: b a= (1, 0) a). Compute. l히 , I티, l히 b). what is the angle…

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Q: Based on the information presented on the picture, determine all the true statements. O LAEB is an…

A: We have to choose which of the following statements are true...

Q: 3. Given AABC AJFK, list all of the congruent angles. * ZB = ZJ, 2C= LF, LA= LK ZC = LF, ZA ZK ZB =…

A: Given: ∆ABC~∆JFK

Q: In ARAE and ATAE, ZRAE is adjacent to 2TAE. RA AT and RE ET. Prove that the two triangles are…

A: We will use the criteria for congruence  of triangles.

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: Find the interior angles of traingle ABC Al B(1,0,1) P c(2,1y-1). A

A: Given: A(1,2,1), B(1,0,1) & C(2,1,-1)

Q: Prove that angle B is congruent to C and angle BAD is congruent to D.

A: Solution is attached below

Q: Complete the proof of the following theorem: "In a kite, one pair of opposite angles are congruent."…

A: SSS congruence postulate: According to this postulate, two triangles are congruent if three sides of…

Q: 1. Prove: If one interior angle of a triangle is right or obtuse, then both the other interior…

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Q: Let ABC be a triangle with orthocenter H, incenter I and circumcenter O. Prove that: (a) If ∠A is…

A: Proceed as shown

Q: Knowing that ABIG = AFNS, an angle pair that is NOT necessarily congruent is ZG E ZF ZB ZF ZG ZS…

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Q: 5. If LAMP and LBMC are right angles, AM = CM and LA = LC, prove that AP = CB. C A M В

A: # we are entitled to solve one question at a time ,please resubmit other question if you wish to get…