QLT1 Task 2

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Question

QLT1 Task 4 Revision

Numeracy,Algebra,&Geometry RobertGFoster

WesternGovernorsUniversity

angle BAC=angleDEC=90given

Angle BCA= angleDCE=verticallyopposite angles ACcongruentCE (given)

( BD bisectsAC) AAS Test

Statements		Reasons
Step1	?QSU isisosceleswith base ??	Step1	It is already given thatRQ=UT
Step2	?????	Step2	SinceQSU isa IsoscelesTriangle
Step3	?RQS? ?TUS	Step3	Included angle RQU= TUS
Step4	?????	Step4	Included angle RQU= TUS
Step5	?RQS ??TUS	Step5	SAS (2,3,4)
Step6	?????	Step6	CPCTC
Step7	S isthemidpointof??	Step7	SAS or Side-angle-sidetheoremstatesthat if2 sidesandtheincluded angle of2triangles are equal, thetriangles are congruent. BySAS theorem,thetriangles RQSandTUSare congruent. So, RS= ST(correspondingsides ofcongruent triangles areequal) Therefore, Sis themidpoint ofRT.

So C istheMidpointofDB

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