478,410 views
20 votes
20 votes
I am not sure how to do this and I don’t have much time before my test solve problem a

I am not sure how to do this and I don’t have much time before my test solve problem-example-1
User Labjunky
by
2.7k points

1 Answer

8 votes
8 votes

Given:

a)

Consider the triangles ABC and ADC.

AB=DC


\angle\text{ABC}=\angle\text{ADC}

The common side is AC.

Using the two-column method.


1.AB=DCand\angle ABC=\angle ADC\ldots\ldots\ldots.1.\text{given}
2.AC\cong AC\ldots\ldots.2.\text{Reflexive property }
3.\Delta\text{ABC}\cong\Delta ADC\ldots\ldots.3.\text{SAS potulates}

b)

Consider the triangle.


1.\angle DEF\cong\angle KJLandDE=JL\ldots\ldots1.given

Using triangle sum property, we get


\angle EDF+\angle EFD+\angle DEF=180^o


\angle EDF+70^o+60^o=180^o
\angle E\text{DF}=50^o
2.\angle EDE\cong\angle JLK\ldots\ldots..2.triangel\text{ sum property.}
3.\Delta\text{DEF}\cong\Delta\text{KJL}\ldots\ldots\text{.}\mathrm{}\text{ASA postulates}

I am not sure how to do this and I don’t have much time before my test solve problem-example-1
I am not sure how to do this and I don’t have much time before my test solve problem-example-2
User Fmchan
by
2.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.