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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 10 days ago
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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.
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 22
22.
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 23
23.
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 24
24.
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 25
25.
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 26
26.
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 27
27.
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 28
28.
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 29
29.
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 30
30.
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?
_______

Day 2 (5/15/24)

Question 31
31.
△MNO is an isosceles triangle.

Find the measure of each indicated angle.

m∠O=_______ °
m∠N=_______ °
Question 32
32.
△DEF is an isosceles triangle.

Solve for x,
x=_______

Find the measure of the indicated angle.
m∠E=_______ °
Question 33
33.
If △ABC is an equilateral triangle, solve for both x and y.
x=_______

y=_______

Proving Triangles Congruent Using:


SSS SAS AAS ASA HL

Question 34
34.
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 35
35.
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 36
36.
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 37
37.
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 38
38.
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 39
39.
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 40
40.
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 41
41.
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 42
42.


x=_______
y=_______