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Copy of 8.8 Proving Triangle Congruent (Due 5/6/22) (7/21/2024)

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26 questions
Note from the author:
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Essential Question:  How do you prove triangles are congruent?

Learning Target: Students will be able to use corresponding sides and angles to prove triangles are congruent.

Complete the entire document and show all work for full credit.
Essential Question:  How do you prove triangles are congruent?

Learning Target: Students will be able to use corresponding sides and angles to prove triangles are congruent.

Complete the entire document and show all work for full credit.

Notes--Page 13 Proving Triangle Congruent

Question 1
1.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 2
2.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 3
3.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 4
4.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 5
5.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 6
6.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 7
7.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 8
8.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 9
9.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 10
10.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 11
11.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 12
12.
If △KPL ≅ △ACM, complete each part.
∠P≅_______
∠K≅_______
∠M≅_______
KL≅_______
AC≅_______
PL≅_______
Question 13
13.
If △WXY ≅△HJI, complete each part.
∠W≅_______
∠J≅_______
∠I≅_______
JI≅_______
JH≅_______

Day 2 5/5/22

Concept Review

Question 14
14.
If △ABC is an equilateral triangle, solve for both x and y.


x=_______
y=_______
Question 15
15.
Given △XPS ≅ △DNF, find the values of x and y.


x=_______
y=_______
WAYS TO PROVE TRIANGLES ARE CONGRUENT
Question 16
16.
Draggable itemarrow_right_altCorresponding Item
HL
arrow_right_alt
SSS
arrow_right_alt
arrow_right_alt
arrow_right_alt
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Question 17
17.

Question 18
18.

Question 19
19.

Question 20
20.

Question 21
21.

Question 22
22.

Question 23
23.

Question 24
24.

Question 25
25.

Question 26
26.
Find the measure of each missing angle.


m∠1=_______
m∠2=_______
m∠3=_______
m∠4=_______
m∠5=_______
m∠6=_______
m∠7=_______
AAS
SAS
ASA
Determine by what reason these triangles are congruent.


They are not Congruent
AAS
HL
SAS
ASA
Determine by what reason these triangles are congruent.



ASA
They are not Congruent
SAS
AAS
HL
Determine by what reason these triangles are congruent.




AAS
ASA
SSS
They are not Congruent
SAS
Determine by what reason these triangles are congruent.




SAS
SSS
AAS
They are not Congruent
ASA
Determine by what reason these triangles are congruent.


They are not Congruent
SSS
ASA
HL
AAS
Determine by what reason these triangles are congruent.



HL
SAS
ASA
SSS
AAS
Determine by what reason these triangles are congruent.



ASA
They are not Congruent
SSS
AAS
SAS
Determine by what reason these triangles are congruent.



SAS
ASA
HL
They are not Congruent
SSS
Determine by what reason these triangles are congruent.




ASA
HL
SSS
SAS
They are not Congruent