Triangle Congruence Flashcards

1
Q

What other corresponding parts do you need to get these triangles congruent and what is the reason?

A

angle ACB is congruent to angle ECD by VAT

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2
Q

Describe how to get BQ congruent to AP and provide reasons.

A

Side through reflexive

triangles congruent through SAS

BQ congruent to AP through CPCTC

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3
Q

Are these triangles congruent? Why?

A

Yes, SAS

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4
Q

If B is the midpoint of segment AC, what can I conclude and why?

(hint: visualize or draw)

A

segment AB is congruent to segment CB

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5
Q

Describe how to get AB congruent to CD and provide reasons.

A

angles congruent thru Alt Int Angles

Side through reflexive

triangles congruent through ASA

AB congruent to CD through CPCTC

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6
Q

If ray PK is the bisector of angle TPM, what can I conclude and why?

(hint: visualize or draw it)

A

angle TPK is congruent to angle MPK

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7
Q

Complete the congruence statement:

Triangle ABG is congruent to Triangle __ __ __

A

BAQ

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8
Q

Describe how to get AC congruent to ED and provide reasons.

A

angles congruent thru VAT

triangles congruent through SAS

AC congruent to ED through CPCTC

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9
Q

Complete the congruence statement:

Triangle ACB is congruent to Triangle __ __ __

A

ECD

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10
Q

Describe how to get AB congruent to CD and provide reasons.

A

angles congruent thru Alt Int Angles

Side through reflexive

triangles congruent through ASA

AB congruent to CD through CPCTC

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11
Q

How do you prove triangles congruent by their definition? (There are two ways)

A

Prove their corresponding parts are congruent or map the figures onto each other through a series of rigid transformations.

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12
Q

What can you conclude and why?

A

angle Q is congruent to angle S by BAT

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13
Q

Which side corresponds with AC?

A

DF

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14
Q

Are these triangles congruent? Why?

A

Yes, AAS

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15
Q

Are these triangles congruent? Why?

A

Yes, ASA

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16
Q

Which angle corresponds with B?

A

E

17
Q

What can you conclude and why?

A

RS is congruent to TS by ConBAT

18
Q

Are these triangles congruent? Why?

A

Yes, SSS

19
Q

Are these triangles congruent? Why?

A

Yes, SAS

20
Q

Are these triangles congruent? Why?

A

Not enough information. (There is no ASS)

21
Q

Complete the congruence statement:

Triangle ABC is congruent to Triangle __ __ __

A

DEC

22
Q

Are these triangles congruent? Why?

A

Yes, AAS