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

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

5. -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

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

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

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

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

10. Complementary Angles:
-Two angles whose measures sum to 90°

11. -Two angles whose measures sum to 180° (make a straight line)
Supplementary Angles
-Two angles whose measures sum to 180° (make a straight line)

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

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

14. Right Angles -Angle whose measure equals 90°
*Theorem all right angles are congruent

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

16. Reflexive Property of Congruence
-A geometric figure is congruent to itself

17. Transitive Property of Congruence
-If two “things” are equal to the same amount, then the two “things” are equal to each other
Ex. Let a = 2 and b = 2. We know a = b by the Transitive Property of Congruence (both equal 2)