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.
According to your notes on Page 12, what does congruent mean?
The SSS Congruence Theorem requires what 3 pieces of what information from 2 triangles to prove they are congruent?
According to your notes on Page 12, what does included mean?
Match the description with the correct Congruence Theorem
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Two sides and an included angle are congruent. | arrow_right_alt | SSS |
Two angles and a side opposite them are congruent. | arrow_right_alt | SAS |
Three pairs of congruent sides. | arrow_right_alt | AAS |
| Draggable item | arrow_right_alt | Corresponding 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. |
Find the missing angle
m∠1=
Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)
Learning Outcomes
Can you prove two triangles are congruent without them having a congruent side?
(Use complete sentences for full credit)
1 Question I have.
1 question I have is...
(Must be a question)
OR
What was the hardest part of the assignment?
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.
△
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.
△
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.
△
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.
△
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.
△
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.
△
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.
△
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.
△
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.
△
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.
△
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.
△
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.
△
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 value of x
x=
Find the value of x and y.
x=
y=
Given △XPS ≅ △DNF, find the values of x and y.
Find the value of x and y.
x=
y=
Find each missing angle.
m∠1
m∠2
m∠3
m∠4
