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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 28 days ago
32 Nsɛmmisa

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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Asemmisa {{asɛmmisaAhyɛnsode}}
21.

△MNO is an isosceles triangle.

Find the measure of each indicated angle.

m∠O= °

m∠N= °

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

△DEF is an isosceles triangle.

Solve for x,

x=

Find the measure of the indicated angle.

m∠E= °

Asemmisa {{asɛmmisaAhyɛnsode}}
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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Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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 ≅△

Asemmisa {{asɛmmisaAhyɛnsode}}
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 ≅△

Asemmisa {{asɛmmisaAhyɛnsode}}
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≅△

Asemmisa {{asɛmmisaAhyɛnsode}}
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= °

Asemmisa {{asɛmmisaAhyɛnsode}}
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= °

Asemmisa {{asɛmmisaAhyɛnsode}}
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= °

Asemmisa {{asɛmmisaAhyɛnsode}}
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)

Asemmisa {{asɛmmisaAhyɛnsode}}
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=

Asemmisa {{asɛmmisaAhyɛnsode}}
32.

x=

y=