1. 4-2, 4-3, 4-6 Triangle Congruence Figures
Unit 4 Day 2
4-2, 4-3, 4-6 Triangle Congruence Figures

2. Agenda Check your skills Homework Check
4-2, 4-3, 4-6 Triangle Congruence Figures
Homework

3. Check your skills Name the Legs:
Which two angles are congruent to each other?
Find x:
Bonus: Find z:

4. Homework Check: 1. <1 = 110, <2=120 2. <4=135, <3=90
1. <1 = 110, <2= <4=135, <3=90
3. <5=140, <6=90, <7=40, <8 = 90 4. 5. 6. 7.
FCB 2. NMD 3. GTK 4.
<Q
8. RS 9. <QRS 10. SQ 11. QR
12. <QSR

5. 4-2, 4-3, 4-6 Triangle Congruence Figures
If 2 Triangles have 3 Congruent Sides and 3 Congruent Angles Then the 2 Triangles must be _________ Sometimes you will not be told that all 3 angles and sides are congruent. ≅

6. If the 3 sides of one triangle are congruent to the 3 sides of another triangle, then the two triangles are congruent.
Because of SSS ≅

7. 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.
Because of SAS ≅

8. 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.
Because of ASA ≅

9. 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.
Because of AAS ≅

10. 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)

11. 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.
Because of HL

12. Proving Triangles are Congruent
Use one of the postulates/Theorems:
SSS – side, side, side
SAS – Side, Angle (between), Side
ASA – Angle, Side (between), Angle
AAS – Angle, Angle, Side (Not between)
HL – Hypotenuse, Leg

13. Proving ‘s are
Which Theorem proves the Triangles are 1.

14. 2.

15. 3.

16. 4.

17. 5.

18. NEVER USE THESE!!!!!!
Or the Reverse (NEVER write a curse word on your paper!!!)

22. Homework
Worksheet –

23. Class Work
Complete the work sheet for classwork! Worksheet: Lesson 4-2,4-3,4-6 Check for understanding.