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

Last updated 21 minutes ago

32 questions

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Day 2 (5/12/26)

10

Question 21

21.

△MNO is an isosceles triangle.

Find the measure of each indicated angle.

m∠O=_______ °
m∠N=_______ °

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Question 22

22.

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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?
_______ 

△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=_______  