CONGRUENT TRIANGLE FACTS

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# CONGRUENT TRIANGLE FACTS - PowerPoint PPT Presentation

CONGRUENT TRIANGLE FACTS. S.S.S. If three sides of one triangle are exactly the same as the three sides of another triangle, then they are congruent. S.S.S. ●. S.A.S. If two sides and the included angle of one triangle and two sides &amp; the included

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Presentation Transcript

CONGRUENT

TRIANGLE

FACTS

S.S.S

If three

sides of one

triangle are

exactly the same

as the three sides of another triangle,

then they are congruent.

S.A.S

If two

sides and the

included angle

of one triangle and

two sides & the included

angle of another triangle are exactly the same, then they are congruent.

S.A.S

A.A.S

If two

angles and a

side of one triangle

are exactly the same as

two angles and the

corresponding side of another

triangle, then they are congruent.

A.A.S

R.H.S

If a

right-angle,

a hypotenuse & a

side are exactly the same

as the right-angle, hypotenuse

and corresponding side, then they

are congruent

CONGRUENT PROOFS

(NOT DRAWN TO SCALE)

Prove that ABC DEF Prove that PQR STU

B

E

R

P

S

U

25mm

25mm

A

17mm

C

D

17mm

F

4cm

22º

22º

5cm

4cm

5cm

Q

T

2cm

2cm

CONGRUENT PROOFS

(NOT DRAWN TO SCALE)

Prove that ABC DEF Prove that PQR STU

AB = DE = 4cm (given) S PQ=ST = 17mm (given) S

BC = EF = 5cm (given) S  PQR= STU = 22º (given) A

AC = DF = 2cm (given)S QR = TU = 25mm (given) S

 ABC DEF (SSS)  PQR  STU (SAS)

CONGRUENT PROOFS

(NOT DRAWN TO SCALE)

Prove that ABC DEF Prove that PQR STU

AB = DE = 4cm (given) S PQ=ST = 17mm (given) S

BC = EF = 5cm (given) S  PQR= STU = 22º (given) A

AC = DF = 2cm (given)S QR = TU = 25mm (given) S

 ABC DEF (SSS)  PQR  STU (SAS)

B

E

R

P

U

25mm

A

17mm

C

D

F

25mm

4cm

22º

17mm

5cm

4cm

5cm

22º

Q

T

2cm

2cm

CONGRUENT PROOFS

(NOT DRAWN TO SCALE)

Prove that QAW RDF Prove that GHI JKL

Q

R

G

J

33º

33º

3km

3km

71º

71º

D

H

F

I

A

K

25m

W

25m

2km

2km

L

CONGRUENT PROOFS

(NOT DRAWN TO SCALE)

Prove that QAW RDF Prove that GHI JKL

 AQW = DRF = 33º (given) A  GHI= JKL = 90º (given) R

 AWQ = DFR = 71º (given) A GI= JL = 3km (given)H

AW = DF = 25m (given) S HI = KL = 2km (given) S

 QAW RDF (AAS)  GHI  JKL(RHS)

Q

R

G

J

33º

33º

3km

3km

71º

71º

H

F

A

W

25m

2km

2km