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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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Posljednje ažuriranje about 1 month 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.

Day 2 (5/12/26)

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

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Pitanje 21
21.

△MNO is an isosceles triangle.

Find the measure of each indicated angle.

m∠O= °

m∠N= °

Pitanje 22
22.

△DEF is an isosceles triangle.

Solve for x,

x=

Find the measure of the indicated angle.

m∠E= °

Pitanje 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

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Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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?

Pitanje 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 ≅△

Pitanje 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 ≅△

Pitanje 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≅△

Pitanje 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= °

Pitanje 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= °

Pitanje 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= °

Pitanje 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)

Pitanje 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=

Pitanje 32
32.

x=

y=