EXT#2 ws Vertex Form of a Quadratic is Due TODAY HW#13 p222 / 1-14, 20 is due Tuesday Oct 21

Transcription

1 Monday Oct 20, 2014 Take out your notebook for today's warm - up! EXT#2 ws Vertex Form of a Quadratic is Due TODAY HW#13 p222 / 1-14, 20 is due Tuesday Oct 21 Did you miss the QUIZ on Angles in a Triangle / Isosceles Triangles and Angle / Side relationships?? Make arrangements to make it up after school this week.

2 Warm - up

3 Warm - up 10 / 20 / 14 K Given: KM is the perpendicular bisector of NL Explain why KMN = KML N M L

4 K Given: KM is the perpendicular bisector of NL Explain why KMN = KML N M L

5 Lesson

6 Side-Side-Side SSS Side-Angle-Side SAS Three pairs of congruent sides Angle-Side-Angle ASA Two pairs of congruent sides and one pair of congruent angles (Angle is between the two congruent sides) Side-Angle-Angle SAA Two pairs of congruent angles and one pair of congruent sides (side is between the congruent angles) Angle-Angle-Angle AAA Two pairs of congruent angles and one pair of congruent sides (Side is not between the congruent angles) Side-Side-Angle SSA Three pairs of congruent angles Two pairs of congruent sides and one pair of congruent angles (angles are not between the congruent sides)

7

8 ABE = CDE by E is the midpoint of BD B A E C D

9 HJK = GJK by KJ is the perpendicular bisector of HG. H J K G

10 CDB = CEA by CD = CE CAB = CBA C D E A B

11 STEP 1 : Find congruent parts and mark them on the diagram. KM bisects NL congruent to itself def of midpoint definition of a segment bisector converse of the isosceles triangle conj

12 STEP 1 : Find congruent parts and mark them on the diagram. angle is congruent to itself vertical angles base angles of an isosceles triangle are congruent Alternate Interior Angles Both right angles KJ bisects definition of a bisector HKG

13 STEP 2 : Look at the markings to determine which rule can be used to justify that the triangles are congruent.

14 STEP 2 : Look at the markings to determine which rule can be used to justify that the triangles are congruent.

15 STEP 2 : Look at the markings to determine which rule can be used to justify that the triangles are congruent.

16 STEP 2 : Look at the markings to determine which rule can be used to justify that the triangles are congruent.

17 STEP 2 : Look at the markings to determine which rule can be used to justify that the triangles are congruent. Cannot be determined. AAA does not work.

18 STEP 2 : Look at the markings to determine which rule can be used to justify that the triangles are congruent. Cannot be determined. SSA does not work.

19 STEP 3 : Make sure that the markings match on both triangles. Make sure the markings match the names of the triangles that are supposed to be congruent. Double check your answers from homework #13 cannot be determined ASA SAA Look carefully! The marks do NOT match the names. Look carefully! Marks do not match between triangles

20 Homework

21 #13 page 222 / 1-14, 20 due Tuesday Oct 21

22 #14 p227 / 1-16 due Wednesday Oct 22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37 Homework

38 #13 page 222 / 1-14, 20 due Tuesday Oct 21

39 #14 p227 / 1-16 due Wednesday Oct 22

40 SSS SAS ASA SAA AAA SSA

41 SSS SAS ASA SAA AAA SSA

42 SSS SAS ASA SAA AAA SSA

43 SSS SAS ASA SAA AAA SSA

44 SSS SAS ASA SAA AAA SSA

45 SSS SAS ASA SAA AAA SSA Congruent Sides congruent to itself

46 SSS SAS ASA SAA AAA SSA Congruent Sides

47 SSS SAS ASA SAA AAA SSA Congruent Sides

48 SSS SAS ASA SAA AAA SSA Congruent Sides

49 SSS SAS ASA SAA AAA SSA

50 SSS SAS ASA SAA AAA SSA

51 SSS SAS ASA SAA AAA SSA

52 SSS SAS ASA SAA AAA SSA Congruent Sides

53 SSS SAS ASA SAA AAA SSA Congruent Sides

54 Congruent Sides

55