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.

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.

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.

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.

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.

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.