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# Triangles and Congruence - Part 2

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Author: Crystal Kirch

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Tutorial

## ACTIVITY #1

WHOLE CLASS

• Introduction to the compass kit
• safety
• taking care of kits
• troubleshooting problems with the compass (lead)

## ACTIVITY #2

IPOD ACTIVITY - Page 38 - top half

## ACTIVITY #3

CALL MRS. KIRCH OVER TO DISCUSS

• How many tries did it take you?
• How accurate is your picture?
• What's the hardest part?

## ACTIVITY #4

IPOD ACTIVITY - Page 38 - bottom half

## ACTIVITY #5

CALL MRS. KIRCH OVER TO DISCUSS

• Recite steps for drawing a triangle given 3 sides
• What acronym can we give this?

## ACTIVITY #6

IPOD ACTIVITY - page 39-40

## ACTIVITY #7

CALL MRS. KIRCH OVER TO DISCUSS

• What questions do you have about constructing SSS?
• Why was triangle #7 impossible?
• What can we conclude about drawing triangles given 3 sides?  Under what circumstances will the triangle be impossible?

## ACTIVITY #8

#1-10 - Use the patterns you saw to decide.  Include a 1 sentence explanation
#11-14 - Use your compass, ruler, and pencil to construct

## ACTIVITY #9

IPOD ACTIVITY - page 41
*Need colored set of 7 triangles for each group of 2 or 4

## ACTIVITY #10

CALL MRS. KIRCH OVER TO DISCUSS

• Check labels on all 7 triangles

## ACTIVITY #11

IPOD ACTIVITY - page 42

## ACTIVITY #12

CALL MRS. KIRCH OVER TO DISCUSS

• What did you notice about the categories when divided into scalene, isosceles, and equilateral?
• What did you notice about the categories when divided into acute, obtuse, and right?
• What are Google's definitions of all 6?
• Which two couldn't be drawn from the chart?
• Go over how to mark sides and angles correctly as congruent.

## ACTIVITY #13

#15-24 make sure you have two descriptive words for each problem

## ACTIVITY #14

IPOD ACTIVITY - page 44-45

## ACTIVITY #15

CALL MRS. KIRCH OVER TO DISCUSS

• What were your 3 observations?
• Which ones did you list under the "confusing" section that we need to go over?

## ACTIVITY #16

#25-29 use your conclusions from the linguine activity.  Include a 1 sentence explanation with each answer.

#30-34 make sure you have two descriptive words for each problem

## ACTIVITY #17

IPOD ACTIVITY - page 46

## ACTIVITY #18

CALL MRS. KIRCH OVER TO DISCUSS

• What were the possibilities you came up with?

## ACTIVITY #19

IPOD ACTIVITY - page 47

## ACTIVITY #20

CALL MRS. KIRCH OVER TO DISCUSS

• Check the 5 drawings
• What transformations did you use?  Show me
• KEY IDEA: If you are given ________, the triangles will always be __________ to each other no matter which way you draw them.

## ACTIVITY #21

#35-49  Your reason will either be SSS or something else.

*It is only congruent (right now) if you find SSS.

**Remember that VERTICAL ANGLES are congruent, and if two triangles share a side, that side is congruent.

## ACTIVITY #22

IPOD ACTIVITY - page 48

## ACTIVITY #23

CALL MRS. KIRCH OVER TO DISCUSS

• What triangle(s) did you draw?
• Did everyone draw the same triangle?  If not, what does this mean? (#3)
• Summarize the two big things we've learned so far this unit. (#4)

## ACTIVITY #24

IPOD ACTIVITY - page 49-50

## ACTIVITY #25

CALL MRS. KIRCH OVER TO DISCUSS

• How many triangles did you draw?  Show me
• Are the triangles in #1 and #5 congruent?  Why or why  not?  Show me.

## ACTIVITY #26

#50-61 use what you remember from before break (Supplementary, Complementary, Angles in a Triangle, Vertical Angles, Exterior Angles) to answer the questions.

PAGE 51-52 (TBD)

## ACTIVITY #28

#62-73 Your reason will either be SSS, SAS, ASA/AAS, or ***/SSA  It is only congruent  if you find SSS, ASA/AAS, or SAS.  Remember that VERTICAL ANGLES are congruent, and if two triangles share a side, that side is congruent.

## ACTIVITY #29

PAGE 55-56

This is a partner/group practice problem solving test.  Read carefully, discuss, and call me over if you need help.

## ACTIVITY #30

CALL MRS. KIRCH OVER TO DISCUSS

• Is Suzie correct?
• Is Wally correct?

## ACTIVITY #31

Triangles and Congruence Skills Test #2 Review (Version 1)

## ACTIVITY #32

PAGE 57

This is a partner/group practice problem solving test.  Read carefully, discuss, and call me over if you need help.

DIRECTIONS: Decide if the pairs of triangles described can be congruent or not.  Write a reason for your answer.

## ACTIVITY #33

CALL MRS. KIRCH OVER TO DISCUSS

• Which ones were "no"?
• Which ones were "yes"?

## ACTIVITY #34

Triangles and Congruence Skills Test #2 Review (Version 2)

## ACTIVITY #35

PAGE 59-60

This is a partner/group practice problem solving test.  Read carefully, discuss, and call me over if you need help.

PLEASE NOTE:  This is a sample "proof" from 2 students about Card 5 from the page 57 activity.  Refer to your notes from that activity while discussing

## ACTIVITY #36

CALL MRS. KIRCH OVER TO DISCUSS

• Do you agree with Jorge, Kieran, or neither?  Explain.

## ACTIVITY #37

Triangles and Congruence Skills Test #2 Review (Version 3)

## ACTIVITY #38

PAGE 61-62

This is a partner/group practice problem solving test.  Read carefully, discuss, and call me over if you need help.

## ACTIVITY #39

CALL MRS. KIRCH OVER TO DISCUSS

• Is Ben correct?
• Is Sanjay correct?
• Is Max correct?

## ACTIVITY #40

Triangles and Congruence Skills Test #2 Review (Version 4)