![marlag10](/avatars/6211.jpg)
marlag10
22.06.2019 •
Mathematics
Assume lines c and d are parallel and angle 2 measures 98°. which statements are true? check all that apply.
Solved
Show answers
More tips
- P Philosophy How to Properly Create a Vision Board?...
- C Computers and Internet What is Web 2.0 and How Does it Work?...
- S Style and Beauty Is Photoepilation the Solution to Unwanted Hair Forever?...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
Answers on questions: Mathematics
- M Mathematics Stephanie s dog weighs 14 1/5 pounds, this is 9 3/4 pounds more than her cat weighs. How much does her cat weigh?...
- M Mathematics He does anyone want to be friends?...
- M Mathematics Solve the formula for the indicated variable. h=vt-5t^2 for v...
- M Mathematics Roberto compro una jaula raza grande en pagos. S hasta el momento ha pagado 1125, que equivaleal 25 porciento ¿cual es el costo de la jaula?...
- M Mathematics Adrian lives and works in georgia. he earns a gross income of $1,600 each month but gets a net income of $1,224.65. his employer deducts the following taxes from his pay:...
- M Mathematics Which description best describes the solution to the following system of equations? (4 points) y = - ?X + 9 - 9 y = x + 7 01) Lines y = - 1x + 9 and y = x + 7 intersect...
Ответ:
Line CM belons to triangle BCM
The triangles BCL and BCM has a coomon side, the side BC, this side is congruent.
If Angle XBA = Angle YCA, then:
Angle ABC or angle MBC of triangle BCM = Angle ACB or angle LCB of triangle BCL
If line BE is the bisector of angle ABC, then divides it into two equal parts, then angle MBL must be congruent with angle LBC
If line CD is the bisector of angle ACB, then divides it into two equal parts, then angle LCM must be congruent with angle MCB
As angle MBC is congruent with angle LCB, the angles MBL, LBC, LCM, and MCB must be congruents too.
Then angle MCB in triangle MBC is congruent with angle LBC of triangle BCL.
Then, the two triangles BCM and BCL have a congruent side (BC) and the two adjacent angles are congruent too (angle MBC of triangle BCM with angle LCB of triangle BCL, and angle MCB of triangle BCM with angle LBC of triangle BCL).
Then by ASA the two triangles are congruents and the other two sides must be congruents too: Line BL of triangle BCL must be congruent with line CM of triangle BCM (because they are opposite to congruent angles: BL in triangle BCL is opposite to angle LCB, and CM in triangle BCM is opposite to angle MBC, and angles LCB and MBC are congruents).
I would use ASA to help me prove Line BL= Line CM