Consider isosceles triangle ABC with angle bisector AD.ASHBOARDDURSESCBDWhat reasons complete the proof of ZB E ZC? Drag theALENDARphrases to the empty boxes to correctly complete each sentenceof the proof.UBOXAB = AC becauseELPZBAD = LOC AD becauseAD E AD becauseAABD AACD becauseZB E LC becauseof AASof ASAof SASof SSSit is givenof the reflexive propertyof the definition of angle bisectorcorresponding parts of congruent triangles arecongruent

Answered: Image /qna-images/answer/1f2cc000-4d5f-4216-a0b5-52df711f3692.jpg

B D C What reasons complete the proof of ZB2 LC? Drag the phrases to the empty boxes to correctly complete each sentence of the proof. AB AC because ZBAD LCAD because AD AD because ΔΑΒD ΔACD because

B D C What reasons complete the proof of ZB2 LC? Drag the phrases to the empty boxes to correctly complete each sentence of the proof. AB AC because ZBAD LCAD because AD AD because ΔΑΒD ΔACD because

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.2: Corresponding Parts Of Congruent Triangles

Problem 44E: HA hypotenuse-angle is also a valid method for proving that two right triangles are congruent a...

See similar textbooks

Related questions

Q: 27 Find (all) the value(s) of c such that 3c 3can - 8. n=0 (A) c= 3 (B) с%3D 4 (C) c = -}, (D) c = }…

Q: The Direct Method of Formal proof 5. S→ P P→ (W VJ) SA¬W :. J

A: To find- The Direct Method of Formal Proof S→PP→W ∨ JS∧¬W∴J Rules of Inference Used-…

Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively.Prove that S3=3(S2-S1)

Q: Q1: Prové by induction nzZ! ☆ (1- 1 htI ( Here JJ (Pi") stande for froduct) means (I- I

A: A detailed solution is given below.

Q: A = B = C= 2n + 1 n ,ne U₁₁+ = 1,² - 1/1/1 n n n=0 1 Anti 'n + 1 nEN 3] O A and B are complete O A…

A: We have to determine that which of the following sets are complete : A = 2n+1n, n∈ℕ∪2 B = ∪n=2∞1+1n…

Q: Q7) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ГО 1 11 0 2 If A = -6…

Q: nd. 24) A mixed tennis team consistine 2 men 2 women is to be chesen fm Osmenend 7women. ) End the…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: IF P= DF-CB find the value of the following ANS ANS 1 P11 6 P23 2 P12 7 P31 %3D %3D 3. P13 8 P32 %3D…

Q: The number of the element(s) of order 2 in Z2 O D6 12 1 11 7 15 24 None of them

Q: 18. Let V, = {* €R | 1 1 1 for each positive integer i. i 4 a. UV; = ? i=1 4 b. nV; = ? i=1 c. Are…

Q: Find the exact value of the vanablo's. If your answer is not an integer, leave it in samplest…

A: (1) here we have a right angle triangle by using Pythagoras theorem x² = (12)² - (6)² x² = 144 - 36…

Q: Consider R? with the weighted inner product = 2u1vi + 6u2v2. Then ||(2,3)|| %D a) V13 b) V22 c) V30…

Q: O Find ell conjagates mc d the given freld: given num hes over the ® V2 117 over Q; O\2+52 over O(5)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: -) Which of the following equations is true? 28 + 7 = 4(7 + 7) 36 + 6 = 6(6 + 1). 13+36 = 13(1 + 3)…

Q: (a) Let U~ uniform[0, 2], and let U S= Se Find (i) E[S], (ii) P(S≥ 0.5). (b) Repeat (a) if U~ exp(2)…

A: Given: S= ∫0Ue-sds

Q: Q: Find the gcd (a, b) and find two integers x and y suchthat gcd(a, b) = ax + by. Ex.(i): a = 901…

Q: Q/usethe Fibona ccimethod to Solve thefrablem In four stefs uPslon Min fo=X+ [ze27,6-1] and E=ort 25…

Q: #20. D is a Ux4 mahmx such that He cauahon D x=D has anly the trwial soluhan , then the rame of D…

A: If any eigen value of n×n matrix is equal to 0 then then rank of matrix always less than n .…

Q: In the figure shown, CF intersects AD and EH at points B and F, respectively. B G Complete the proof…

A: To complete the proof

Q: · (b + c) = ² 7. Prove that à. = a · b + ac for all a, b, c € R³.

Q: Could you answer 12. d) There are two pictures but they go together.

A: Given that

Q: Find the quantity if v=5i−7j and w= 3i+2j IIvII-IIwII

Q: C GIVEN: AC = BC, AD = BD, AEC, and BDE. PROVE: a XCAD = 4CBD. E b AD> DE. B

A: Given triangle ABC, Inside triangle there is another triangle ADB. Given AC = BC, AD = BD, AEC = BDE…

Q: Q7. TheRandom Variable, X~ N(20,16). Which of these statements is incorrect? A. Themean, µ = 20 & o²…

Q: the convolution theorem) e" dr re" (b) С (d) L{ / rsin(r) dr re" dr

Q: Q1) If B = B¯' then B = I or B = –1. Prove or give counter example. %3D

A: B=B-1To prove or disprove B=I or B=-I

Q: 5 Given: 21 (x + 7)º, L2 = (2x − 3). ZABC = (x²), ZD = (5x-4)° Show that ZABC= ZD. Ĉ

Q: Given : A =T1-a %3D and 8 = 2 47 3 what is the product 4 the entries on AtB Giuen A = ard B = 3.…

A: The matrix addition can be performed by adding the respective elements of the matrix. The matrix…

Q: Find the value of k for which A is symmetric: 1 4 3k A = 4 27 %3D 29 12 7k +1 9.

A: We have to find value k

Q: Let Dn = {ar , a; b | 0<k< n}, where a " = e, b² = e , and ba =alb (a) Show that (a* b)? = e for…

Q: Q2) n(x) = x1 , kx) = (x – 1)/2 , %3D %3D | 1-(8 + x) Find a formula for ( monok).

Q: Consider R? with the weighted inner product = 2u1vi + 6u2v2. Then ||(2,3)|| = a) V13 b) V22 c) V30…

A: Using given weighted inner product formula,

Q: o(1- a2)"dæ : 2ª" (n!)² (2n+1)! 10. Show that for n =0,1, 2,.... (0! = 1 and

Q: A 12/08121 3, 12 D 10 -AABC~ADEF by SAS~ -AABC~AFDE by SAS~ |-AABC~AEFD by SAS~ -Not simi lar;…

A: Two triangles are said to be similar triangles If their corresponding angles are congruent and their…

Q: [2 1] Q2) Assume A = |1 3 .3 4] 2 4 1 and B = l show that (AB)' = B' A' 13 6 4] [

A: Here, it is given that A=211334 and B=241364. We need to show that (AB)'=B'A'

Q: In OP, QR ST Which statement must be true? Select all that apply. R. Q A. AQRP = ASTP В. QR = RS C.…

A: A)True In △QRP and △STPQP=SP ( radius of the same circle )PR=PT (radius of the same circle…

Q: · (b + c) = a · = a · b + a · e for all a, b, c € R³. . 7. Prove that a.

Q: P 4.) (Hint: 8 Steps) R MR 1 KP KO I PM Given: ZRKM = 20MK Prove: ARKM = AOMK K Statements Reasons…

Q: HW/ O Find A. B , AXB For A= (+ 3j+2K

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Qn= n a.(a+B") a + ß Pn= b. (a"B") - B α also given, α = В a+b√m d a b√m d Now by using all given…

A: We will substitute all values in left side of equation and try to get right sides

Q: z(k, l) = 4*µk+l. %3D essions of this form allows the conclusion z(k, l) = 4* f(k + l),

A: Given that, zk+l=4kμk+l (1)

Q: 2. In the figure below, m I n, and Z1 and 22 are complementary. E that r || t. [Hint: Use Z3 in your…

A: Since it is given that ∠1 and ∠2 are complementary, ∠1+∠2=90° 1

Q: Given that z=Scos ( 3x+3ct) +e+d. Which ONE of the following statements is TRUE? OA d OB. 0: Oc a:…

Q: Which of the following are true? Select all that apply. O )-8a( – 5a + 8) = 40a² – 64a ab + c = b +…

A: We are given some statement and we need to tell if it is true or not. This can be done as follows:

Q: Q2: A: IF B = By using the result of det(A) (JA) Find the value of det(B) ([B]) without use the def…

A: Given :A=123456101

Q: n the diagram of AABC and ADEF below, AB DE A ZD, and ZB ZE. Which method can be used p prove AABC…

A: In this congruency of triangle we can use ASA

Q: [2 1 3 2 4 Q2) Assume A and B = show that (AB)' = B' A' %3D %3D 13 6 4 13 4.

Q: 2. Prove: BE = DF Key steps of proof: a. ДАВС ДCDA b. 21 = Z 2 c. AABE = ACDF B A. d. BE = DF A D

A: Given: To prove: BE≅DF

Question

Consider isosceles triangle ABC with angle bisector AD.
ASHBOARD
DURSES
C
B
D
What reasons complete the proof of ZB E ZC? Drag the
ALENDAR
phrases to the empty boxes to correctly complete each sentence
of the proof.
UBOX
AB = AC because
ELP
ZBAD = LOC AD because
AD E AD because
AABD AACD because
ZB E LC because
of AAS
of ASA
of SAS
of SSS
it is given
of the reflexive property
of the definition of angle bisector
corresponding parts of congruent triangles are
congruent

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Given: Regular hexagon ABCDEF with diagonal AC and exterior 1. Prove: m2+m3=m1
HA hypotenuse-angle is also a valid method for proving that two right triangles are congruent a Given that AD and ABDE in the right triangles shown, can HA be used to verify that ABCDEF? b Name another method SSS, SAS. etc. that can be used to verify that these triangles are congruent.
Prove the Extended Angle Addition Property by using the Drawing, the Given, and the Prove that follow. Given: TSW with SU and SV Prove: mTSW=mTSU+mUSV+mVSW
Does it follow from Exercise 30 that ADE is also congruent to CBE? What can you conclude regarding AE and CE in the drawing? What can you conclude regarding DEandBE?
Complete all missing statements and reasons in the following proof. Given: RUVRV and 13 Prove: STU is an isosceles triangle Proof Statements Reasons 1. RUV;RV 1. 2. UVUR 2. 3. 3. Given 4. RSUVTU 4. 5. 5. CPCTC 6 6. If 2 sides of a are , this triangle is an isosceles triangle.
Given that AB=AC in triangle ABC, use intuition to draw a conclusion regarding mABC and mACB.
Consider regular pentagon RSTVQ not shown. Given that diagonals QT and VR intersect at point F, show that VFFR=TFFQ.
In Exercise 1 and 2, supply reasons. Given: AB intersects CD at O so that 1 is a right Use the figure following Exercise 1. Prove: 2 and 3 are complementary. PROOF Statements Reasons 1. AB intersects CD at O. 1. ? 2. AOB is a straight , so mAOB=180 2. ? 3. m1+mCOB=mAOB 3. ? 4. m1+mCOB=180 4. ? 5. 1 is a right angle 5. ? 6. m1=90 6. ? 7. 90+mCOB=180 7. ? 8. mCOB=90 8. ? 9. m2+m3=mCOB 9. ? 10. m2+m3=90 10. ? 11. 2 and 3 are complementary 11. ?
In Exercises 25 and 26, give a paragraph form of proof. Provide drawings as needed. Given: Equilateral ABC with each side of length s Prove: AABC=S243 HINT: Use Herons Formula.