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Copy of 7.4 Congruent Triangles Congruence: SSS--SAS--AAS (Due 5/2/2024) (7/21/2024)

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Last updated 2 days ago
26 questions
Required
6
Required
6
Essential Question: How can we determine if two triangles are congruent using the SSS, SAS, and AAS theorems?

Learning Target:
Students will be able to apply the SSS, SAS, and AAS theorems to prove triangle congruence and justify their reasoning with geometric arguments.


Show your work for full credit.
Required
5
Question 1
1.

According to your notes on Page 12, what does included mean?

Required
5
Required
10
Question 4
4.

Match the description with the correct Congruence Theorem

Draggable itemarrow_right_altCorresponding Item
Two angles and a
side opposite them
are congruent.
arrow_right_alt
SSS
Three pairs of
congruent sides.
arrow_right_alt
SAS
arrow_right_alt
Question 5
5.
Draggable itemarrow_right_altCorresponding Item
Side-Angle-Side
arrow_right_alt
Three pairs of
congruent sides.
Angle-Angle-Side
arrow_right_alt
Two sides and
an included angle
are congruent.
Side-Side-Side
arrow_right_alt
Two angles and a
side opposite them
are congruent.
Required
15
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15
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15
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15
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15
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15
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15
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15
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15
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15
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15
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15
Required
15

Concept Review

Required
5
Question 19
19.
Required
10
Required
10
Required
10
Required
20

Learning Log

Required
5
Question 24
24.

Required
5
Question 25
25.

Required
10
Question 26
26.

Question 2
2.

According to your notes on Page 12, what does congruent mean?

Question 3
3.

The SSS Congruence Theorem requires what 3 pieces of what information from 2 triangles to prove they are congruent?

Two sides and
an included angle
are congruent.
AAS

Main Idea: Triangle Congruence: SSS, SAS, AAS

Question 6
6.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 7
7.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 8
8.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 9
9.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 10
10.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 11
11.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 12
12.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 13
13.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 14
14.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 15
15.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 16
16.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 17
17.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Question 18
18.
State whether the triangles can be proven congruent, if possible, by AAS, SSS, or SAS. Include a congruence statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS? Or not congruent?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△_______ ≅△_______
Find the missing angle

m∠1=_______ °
Question 20
20.
Find the value of x

x=_______
Question 21
21.
Find the value of x and y.

x=_______
y=_______
Question 22
22.
Given △XPS ≅ △DNF, find the values of x and y.

Find the value of x and y.

x=_______
y=_______
Question 23
23.
Find each missing angle.

m∠1_______ °
m∠2_______ °
m∠3_______ °
m∠4_______ °