1. November 30, 2016 Review: Triangle Congruence
Geometry
November 30, 2016
Review: Triangle Congruence

2. DO NOW
Find the value of each missing angle (1, 2, 3, 4).

3. Agenda
Announcements (2nd hour only)
Do Now
Review
Jeopardy!

4. I can name congruent objects, and determine if triangles are congruent.

5. Objective/Big Question
Review material for chapter 4 test (Friday)

6. 4.1: Polygon Congruence
Two polygons are congruent if you can match each vertex and side one-to-one.

7. 4.1: Polygon Congruence
Two polygons are congruent if you can move one to exactly cover the other.

8. 4.1: Naming Congruent Polygons
Polygons are named by listing the vertices.

9. 4.1: Triangle Congruence
Two triangles are congruent if their corresponding angles and sides are congruent.

10. CPCTC: Corresponding Parts of Congruent Triangles are Congruent

11. 4.2: Side-Side-Side Congruence
Two triangles are congruent if and only if all their corresponding sides are congruent.

12. 4.2, 4.3: “Included”
An “included” angle is formed by two sides An “included” side is between two angles

13. 4.2: Side-Angle-Side Congruence
Two triangles are congruent if and only if two sides and the included angle are congruent.

14. 4.3: Angle-Side-Angle
Two triangles are congruent if and only if two angles the included side are congruent.

15. 4.3: Angle-Angle-Side
Two triangles are congruent if and only if two angles and one side are congruent.

16. Right Triangle Terminology

17. 4.6: Hypotenuse-Leg
Two right triangles are congruent if and only if one leg and the hypotenuse are congruent.

18. 4.2, 4.3, 4.6: Summary SSS: Three pairs of congruent sides
SAS: Two pairs of congruent sides and the included angle ASA: Two congruent angles and the included side
AAS: Two congruent angles and a non-included side
HL: A right angle, a leg, and a hypotenuse

19. 3.5: Third Angle Theorem
Given two triangles, if two pairs of their angles are congruent, the third angles are also congruent.

20. 3.5: Triangle Sum Theorem
The sum of the angles of a triangle is always 180°

21. 3.5: Exterior Angle Theorem

22. 4.5: Isosceles Triangle
Every isosceles triangle has two congruent SIDES and two congruent ANGLES.

23. 4.5: Equilateral Triangle
A triangle has three congruent angles if and only if it is EQUILATERAL.

24. 4.7: Overlapping Triangles
Try redrawing each triangle separately:

25. Jeopardy Rules
Each group answers each question using the plastic sheets.
Rotate the sheet around the group so that everyone answers.
We don’t move on until at least half the groups answer correctly.
Right to choose the next question rotates around the room.

26. Practice