February 10 2014
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February 10, 2014. D. E. Aim: Let’s do CPCTC. Find out what it means to me. Given: Rectangle CDEF Prove: Triangle CDF is congruent to Triangle EFD. F. C. Recap: Proofs. Make statements that are supported by valid reasons

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February 10, 2014

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February 10, 2014

D

E

Aim: Let’s do CPCTC. Find out what it means to me.

Given: Rectangle CDEF

Prove: Triangle CDF is congruent to Triangle EFD

F

C


Recap: Proofs

  • Make statements that are supported by valid reasons

  • Statements should start off coming from what was given (break it down, why did they give me that specific information) and then by viewing the diagram

  • Do not assume anything about a picture


Important Phrases

  • What are some things that if we see, we know has to be referring to a midpoint?

  • What are some things that if we see on the diagram (using no information other than what we see), we know we can make a new congruency statement?

  • What are some things parallel lines can give us?

  • What can perpendicular lines give us?

  • What things, by definition, are perpendicular?


Practice 1

Given: AB = CD

AC is the perpendicular bisector of BD

A

B

Prove: Triangle ABE = Triangle CDE

E

D

C


CPCTC

  • Looking back at our last diagram, having already shown the two triangles are congruent, what do we think we can say about the remaining parts of those triangles?


Using CPCTC

  • Remember: CPCTC relies on the CT. We cannot use it until we show the triangles are congruent!

B

Given: CA bisects angle DAB

/ BCA = / DCA

Prove: AB = AD

A

C

D


February 11, 2014

D

E

Aim: Proof Review / Special Cases and Regents Questions

Given: Rectangle CDEF

CA = BE

Prove: Triangle EAD is congruent to Triangle CBF

A

B

F

C


D

E

Given: Rectangle CDEF

CA = BE

Prove: Triangle EAD is congruent to Triangle CBF

A

B

F

C


Proof Helper


More proof help


Other things you should know:


More? You want…MORE?

From June 2012:


January 2010


For the remainder of the period:

  • You may work alone or in groups on the homeworkOR

  • You may discuss last night’s homework with each other / with me

TONIGHT’S HW:

Packet section 4-6 (all)


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