1. Warm Up
Take out your placemat and discuss it with your neighbor.

2. Congruence and Similarity PART I
Unit 7
Congruence and Similarity PART I

3. -A statement we take to be true without proof.
Postulate
-A statement we take to be true without proof.

4. -A statement that can be proven true.
Theorem
-A statement that can be proven true.

5. -Segments which have equal lengths
Congruent Segments
-Segments which have equal lengths

6. -point that divides a segment into two congruent segments
Midpoint
-point that divides a segment into two congruent segments

7. -Line (or part of a line) that intersects the segment at its midpoint
Segment Bisector
-Line (or part of a line) that intersects the segment at its midpoint

8. -Lines that intersect to form a right angle
Perpendicular Lines
-Lines that intersect to form a right angle
Symbol:___________

9. Perpendicular Bisector
-Line that is perpendicular to a segment at its midpoint

10. -Angles which have equal measures Symbols:_______________
Congruent Angles
-Angles which have equal measures Symbols:_______________

11. -Ray that divides an angle into two congruent angles
Angle Bisector:
-Ray that divides an angle into two congruent angles

12. Complementary Angles:
-Two angles whose measures sum to 90°
Note: The two angles do not have to be adjacent!!

13. Supplementary Angles
-Two angles whose measures sum to 180° (make a straight line)
Note: Again, the two angles do not have to be adjacent!!

14. Linear Pair
-Two adjacent angles whose non-common sides are opposite rays
*Linear Pair Postulate:
Linear Pairs are supplementary

15. Vertical Angles
-Opposite (non-adjacent) angles formed by two intersecting lines
*Vertical Angle Theorem:
All vertical angles are congruent

16. Right Angles -Angle whose measure equals 90°
*Right Angle Congruence Theorem:
All right angles are congruent

17. -Triangle that contains a right angle
Right Triangle
-Triangle that contains a right angle

18. Reflexive Property of congruence
-A geometric figure is congruent to itself

19. Transitive Property of Congruence
If <A ≅ <B and <B ≅ <C, then <A ≅ <C.
In words:
If two things are congruent to the same thing, then they are congruent to each other.