

Module 5- Congruence
Presentation
•
Mathematics
•
8th Grade
•
Easy
Tanya Conchas
Used 8+ times
FREE Resource
7 Slides • 18 Questions
1
Module 5- Congruence
By Tanya Conchas
2
Draw
Find the 5 differences between the pictures
3
Last class....
Rigid Transformations
There are 3 rigid transformations: Reflection, Rotation, Translation
After the rigid transformations, the OG shape and Image are the same shape, size, same everything.
We say the two shapes are CONGRUENT
4
First, Some Vocabulary...
Congruence -In geometry, congruent means identical in shape and size. The figures will have the same side lengths and same angles
Let's test your understanding of the word congruent!
5
Multiple Choice
Are these figures Congruent or not congruent?
Congruent
Not Congruent
6
Multiple Choice
Are these figures congruent or not congruent?
Congruent
Not Congruent
7
Multiple Choice
Are these figures congruent or not congruent?
Congruent
Not Congruent
8
Multiple Choice
Are these figures congruent or not congruent?
Congruent
Not Congruent
9
Multiple Choice
If Triangle ABC is the original, what transformation occurred to give you triangle DEF?
Translation
Rotation
Reflection
10
Properties of Congruent Figures
11
Ways to show congruence...
2) Draw tick marks on sides and angles to state congruence!
1) Look at the sides/angles and see which sides/angles match
12
Congruent Vertices & Order
This tells us
Side A̅B̅ ≅ Side ̅E̅F̅
Side AB is congruent to Side EF
Side AB corresponds to Side EF
(Make sure that your corners match. Order of
vertices (corners) matter!)
13
Once we determine the triangles are congruent...
We write a congruence statement to say
two shapes are congruent
ΔABC ≅ ∆FEG
*Triangle ABC is congruent to Triangle FEG*
(Make sure your vertices (corners) match when writing your congruence statement!)
14
Fill in the Blanks
Type answer...
15
Fill in the Blanks
Type answer...
16
Fill in the Blanks
Type answer...
17
Draw
Mark the all corresponding sides
18
Draw
Mark the all corresponding angles
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Multiple Choice
Our final congruence statement is ΔABC≅ ?
ΔEFD
ΔDFE
ΔDEF
ΔFDE
20
Draw
Mark the all corresponding sides with tick marks
21
Draw
Mark the all corresponding sides with tick marks
22
Multiple Select
What transformation(s) do you do to Polygon GHJK to get the polygon on the right?
Translation
Rotation
Reflection
23
Draw
Mark the Corresponding sides with tick marks
24
Multiple Choice
Our final congruence statement is ΔGHJK≅ ?
ΔSTQR
ΔQRST
ΔRSTQ
ΔTQRS
25
Open Ended
In your own words, what does it mean for two shapes to be congruent?
Module 5- Congruence
By Tanya Conchas
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