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Copy of 7.5 Triangle Congruence: SSS, SAS, ASA, AAS, HL (Due 5/8/2024) (7/21/2024)

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Last updated 20 days ago
32 questions
Essential Question: How can we use information about sides and angles to prove that two triangles are identical?

Learning Target: Students will be able to apply the five triangle congruence theorems (SSS, SAS, ASA, AAS, and HL) to demonstrate that triangles are congruent and apply that information to find missing information about those triangles.

Complete the entire document and use full sentences when prompted for full credit.

Responses without work will receive no points.

Remember to upload work from paper when prompted to receive credit.
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Day 2 (5/12/26)

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Main Idea: Triangle Congruence: SSS, SAS, ASA, AAS, HL

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

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 2
2.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 3
3.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 4
4.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 5
5.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 6
6.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 7
7.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 8
8.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 9
9.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 10
10.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 11
11.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 12
12.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 13
13.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 14
14.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 15
15.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 16
16.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 17
17.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 18
18.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 19
19.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 20
20.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______
Question 21
21.
△MNO is an isosceles triangle.

Find the measure of each indicated angle.

m∠O=_______ °
m∠N=_______ °
Question 22
22.
△DEF is an isosceles triangle.

Solve for x,
x=_______

Find the measure of the indicated angle.
m∠E=_______ °
Question 23
23.
If △ABC is an equilateral triangle, solve for both x and y.
x=_______

y=_______

Proving Triangles Congruent Using:


SSS SAS AAS ASA HL

Question 24
24.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△RST ≅△_______
Question 25
25.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______

If possible write a congruency statement. If not write n/a in the blank.
△WYX ≅△_______
Question 26
26.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______

If possible write a congruency statement. If not write n/a in both blanks.

△RST≅△_______
Question 27
27.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.

What is the measure of ∠L?
m∠L=_______ °

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______

If possible write a congruency statement. If not write n/a in the blank.
△YZX ≅△_______

Use the diagram to answer these questions:

What is the measure of ∠Z?
m∠Z=_______ °

What is the measure of ∠Y?
m∠Y=_______ °
Question 28
28.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______

If possible write a congruence statement. If not write n/a in the blank.
△ ABD≅△_______

Use the diagram to answer these questions:

What is the measure of ∠A?
m∠A=_______ °

What is the measure of ∠C?
m∠C=_______ °
Question 29
29.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△PQN ≅△_______

Use the diagram to answer these questions:

What is the measure of ∠PNQ?
m∠PNQ=_______ °

What is the measure of ∠SQN?
m∠SQN=_______ °
Question 30
30.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?
_______

If possible write a congruency statement. If not write n/a in both blanks.
△TUS≅△_______

Use the diagram to answer these questions:

The side XW=_______ (Use the side's name)

The side SU=_______ (Use the side's name)
Question 31
31.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.


Which theorem proves the triangles are congruent: SSS, SAS, AAS, ASA, or HL?
_______


Solve for x.
_______

Find the length of EF=_______
Question 32
32.


x=_______
y=_______