Consider isosceles triangle ABC with angle bisector AD. D C What reasons complete the proof of ZB 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 AABD A ACD because ZB LC because of AAS of ASA of SAS of SSS it is given of the reflexive property corresponding parts of congruent triangles are of the definition of angle bisector congruent

Consider isosceles triangle ABC with angle bisector AD. D C What reasons complete the proof of ZB 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 AABD A ACD because ZB LC because of AAS of ASA of SAS of SSS it is given of the reflexive property corresponding parts of congruent triangles are of the definition of angle bisector congruent

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

Section3.1: Congruent Triangles

Problem 38E: In ABC and DEF, you know that AD, CF, and ABDE. Before concluding that the triangles are congruent...

See similar textbooks

Similar questions

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.
Given: Regular hexagon ABCDEF with diagonal AC and exterior 1. Prove: m2+m3=m1
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
Given: Equiangular RST Prove: RV bisects SRT RVS is a right
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: RW bisects SRU Prove: RSRU TRUVRS HINT: First show that RSWRUW.
Complete the proof of the following theorem: In a kite, one pair of opposite angles are congruent. Given: Kite ABCD; ABADandBCDC Prove: BD PROOF Statements Reasons 1_________ 2. Draw AC 3.__________ 4. ACDACB 5.__________ 1.______________ 2. Through two points, there is exactly one line. 3. Identity 4.____________ 5._________________
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. ?
Complete the proof of the following theorem: The diagonals of an isosceles trapezoid are congruent. Given: Trapezoid ABCD; ABDC and ADBC. Prove: ACBD PROOF Statements Reasons 1_________ 2. ADCBCD 3. DCDC 4. ADCBCD 5.__________ 1.______________ 2. Base s of an isosceles trapezoid are _______. 3._________ 4.____________ 5. CPCTC
Given: B is the midpoint of AC BDAC Prove: ADC is isosceles
Given that AB=AC in triangle ABC, use intuition to draw a conclusion regarding mABC and mACB.
RSTV is a kite, with RSST and RVVT. If mSTV=40, how large is the angle formed a by the bisectors of RST and STV? b by the bisectors of SRV and RST?