Monday Oct 20, 2014washburn.mpls.k12.mn.us/uploads/monday_october_20_slides_from… · KM bisects NL definition of a segment bisector. STEP 1 : Find congruent parts and mark them

I will be after school for make-up on Mon, Thurs

EXT#1 - ws Slope and Solving Systems is due TODAYQUIZ Friday on Ch12 - LT12A, LT12B, and Word Probs

Take out your notebook for today's warm - up!

Monday Oct 20, 2014

LT1.1A - I can define, sketch, draw, and correctly label basic geometric figures and their parts.

LT1.2A - I can define, sketch, draw, and correctly label angles and their parts.Did you get your notebook checked last week?

EXT#2 ws Vertex Form of a Quadratic is Due TODAY

Did you miss the TEST Friday?? Make arrangementsto make it up after school on Wednesday.

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.

HW#13 p222 / 1 - 14, 20 is due Tuesday Oct 21

Warm - up

K

N M L

Given: KM is the perpendicular bisector of NL

Explain why KMN = KML

Warm - up 10 / 20 / 14

K

N M L

Given: KM is the perpendicular bisector of NL

Explain why KMN = KML

Lesson

SSS SAS

ASA SAA

AAA SSA

Three pairs of congruent angles Two pairs of congruent sidesand one pair of congruent angles(angles are not between thecongruent sides)

Three pairs of congruent sides

Two pairs of congruent anglesand one pair of congruent sides(side is between the congruentangles)

Two pairs of congruent sides andone pair of congruent angles (Angle is between the two congruent sides)

Two pairs of congruent anglesand one pair of congruent sides(Side is not between the congruent angles)

Side-Angle-Angle

Side-Angle-SideSide-Side-Side

Angle-Side-Angle

Angle-Angle-Angle Side-Side-Angle

Congruent Sides

____congruent to itself____ is a midpoint of____ is isosceles____ is equilateral____ is a bisector

Congruent Angles___ is congruent to itself___ are vertical angles___ are Parallel so... Alternate Interior Ang___ are both right angles___ is isosceles

E is the midpoint of BD

A

B

C

D

E

ABE = CDE

by _____

H

G

KJ

KJ is the perpendicular bisector of HG.

HJK = GJK

by _____

A B

C

D E

CD = CE CAB = CBA

CDB = CEA

by _____

STEP 1 : Find congruent parts and mark them on the diagram.

congruent to itself

def ofmidpoint

converse of theisosceles triangle conj

KM bisects NL

definition ofa segment bisector

STEP 1 : Find congruent parts and mark them on the diagram. angle is congruent

to itself

vertical angles

base angles of an isosceles triangleare congruent

AlternateInterior Angles Bothright

anglesKJ bisects HKG

definition ofa bisector

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.

Cannot be determined.

SSA does not work.

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.

cannotbe determined

Look carefully! The marksdo NOT match the names.

Look carefully!Marks do not match between triangles

ASA

SAA

Double check your answers from homework #13

Homework

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

#14 p227 / 1 - 16 due Wednesday Oct 22

Homework

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

#14 p227 / 1 - 16 due Wednesday Oct 22