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Aim:. D. P. A. B. R. K. L. M. How do we use two pairs of congruent triangles in proofs?. Do Now:. D. P. B. A. R. K. L. M. Ex: Given. Prove:. Proofs using pairs of triangles:. 1) Prove one pair of triangles congruent using the given information.

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Aim:

D

P

A

B

R

K

L

M

How do we use two pairs of congruent triangles in proofs?

Do Now:

Geometry Lesson: Pairs of Triangles in Proofs


Proofs using pairs of triangles

D

P

B

A

R

K

L

M

Ex: Given

Prove:

Proofs using pairs of triangles:

1) Prove one pair of triangles congruent using the given information.

2) Use CPCTC and extra Given’s to prove that another set of triangles is congruent.

Given

CPCTC

Given

S.A.S. Postulate

Geometry Lesson: Pairs of Triangles in Proofs


Proofs w pairs of triangles

D

Q

3) Given:

Prove:

X

S

G

F

T

V

B

2) Given:

F

R

P

Prove:

G

E

L

F

1) Given:

P

Q

R

Prove:

A

Proofs w/ pairs of triangles

Geometry Lesson: Pairs of Triangles in Proofs


Proofs w pairs of triangles1

4) Given:

Prove:

N

5) Given:

Prove:

E

F

Q

J

T

P

Q

R

A

Proofs w/ pairs of triangles

Geometry Lesson: Pairs of Triangles in Proofs


Solution 3

D

Q

X

G

S

F

T

V

Solution #3

Given

C.P.C.T.C

C.P.C.T.C

Given

Def. angle bisector

Substitution Post.

Transitive Post.

A.S.A. Post.

C.P.C.T.C

Geometry Lesson: Pairs of Triangles in Proofs


Solution 5

N

E

Q

J

T

Solution #5

Given:

Prove:

Given

Reflexive Postulate

S.S.S. Postulate

C.P.C.T.C

Reflexive Postulate

S.A.S. Postulate

C.P.C.T.C

Geometry Lesson: Pairs of Triangles in Proofs


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