Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.
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Transcript of Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.
![Page 1: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/1.jpg)
Warm Up 12/5/12State the 6 congruent parts of the triangles below.
RATBHR
GUYFAT
GPWACK
10 minutes
End
![Page 2: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/2.jpg)
Homework Check
![Page 3: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/3.jpg)
If 2 Triangles have 3 Congruent Sides and 3 Congruent Angles, then the 2 Triangles are _________
Do we need all six of these to guarantee two triangles are congruent?
![Page 4: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/4.jpg)
Today’s Objective
•Students will be able to use triangle congruence postulates and theorems to prove that triangles are congruent.
![Page 5: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/5.jpg)
If the 3 sides of one triangle are congruent to the 3 sides of another triangle, then the two triangles are congruent.
![Page 6: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/6.jpg)
If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.
![Page 7: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/7.jpg)
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the two triangles are congruent.
![Page 8: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/8.jpg)
If 2 angles and a nonincluded side of one triangle are congruent to 2 angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.
![Page 9: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/9.jpg)
Special Theorem for Right Triangles:
***Only true for Right Triangles***Hypotenuse: Longest side, always opposite
the right angle.Legs: Other 2 shorter sides (form the right
angle)
![Page 10: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/10.jpg)
Hypotenuse – Leg (HL) Theorem
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.
![Page 11: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/11.jpg)
We now have the following:
•SSS – side, side, side•SAS – Side, Angle (between), Side•ASA – Angle, Side (between), Angle•AAS – Angle, Angle, Side (Not between)•HL – Hypotenuse, Leg
![Page 12: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/12.jpg)
NEVER USE THESE!!!!!!
Or the Reverse (NEVER write a curse word on your paper!!!)
![Page 13: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/13.jpg)
Proving ‘s are
Which Theorem proves the Triangles are
1.
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2.
![Page 15: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/15.jpg)
3.
![Page 16: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/16.jpg)
4.
![Page 17: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/17.jpg)
5.
![Page 18: Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.](https://reader036.fdocuments.us/reader036/viewer/2022082712/56649f575503460f94c7b440/html5/thumbnails/18.jpg)
Classwork/Homework
•Kuta Software page 37 and 38