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Copy of Unit 7 Test Review (Due 5/14/2024) (7/21/2024)

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Last updated 10 days ago
27 questions
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20

Day 1 5/19/25

Intro to Triangles


Useful Symbols- ≅ ∠ ° △
Question 1
1.

Find each missing measure.

Question 2
2.
Find the measures of the indicated angles:
m∠1=_______
m∠2=_______
m∠3=_______
m∠4=_______
Question 3
3.

Find the value of x.

Classifying Triangles



Useful Symbols- ≅ ∠ ° △
Question 4
4.
Classify this triangle by its angles and sides.

Angle:
This is a _______ triangle

Sides:
This is a _______ triangle

Question 5
5.
Classify this triangle by its angles and sides.

By its angles:
_______

By its sides:
_______


Question 6
6.
Classify this triangle by its angles and sides.

By its angles:
_______

By its sides:
_______


Question 7
7.
If △RST is an equilateral triangle, find x and the measure of each side

x=_______

Each Side Length=_______
Question 8
8.

Given the isosceles triangle, solve for b.

Question 9
9.
Find the value of x and y.
x= _______
y= _______
Question 10
10.

Find the value of ∠A .

∠A=

Congruent Triangles



Useful Symbols- ≅ ∠ ° △
Question 11
11.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

If they are congruent, state the reason. If not state not enough information.
_______

Complete this triangle congruence statement. If the triangles are not congruent write n/a:
△SUV≅△_______
Question 12
12.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state not enough information.
_______

Complete this triangle congruence statement. If the triangles are not congruent write n/a:
△DAC≅△_______
Question 13
13.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state not enough information.
_______

Complete this triangle congruence statement. If the triangles are not congruent write n/a:
△FED≅△_______
Question 14
14.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state not enough information.
_______

Complete this triangle congruence statement. If the triangles are not congruent write n/a:
△XYZ≅△_______
Question 15
15.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state not enough information.
_______

Complete this triangle congruence statement. If the triangles are not congruent write n/a:
△JKL≅△_______
Question 16
16.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state not enough information.
_______

Complete this triangle congruence statement. If the triangles are not congruent write n/a: △DFG≅△_______
Question 17
17.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state not enough information.
_______


Complete this triangle congruence statement. If the triangles are not congruent write n/a:
△DBC≅△_______

Day 2 5/20/25

CPCTC:

Corresponding Parts of Congruent Triangles are Congruent



Useful Symbols- ≅ ∠ ° △

Question 18
18.
Given △PHS≅△CNF, find the values of x, y, and z.


Complete the congruency statements:

PH≅_______
FN≅_______
∠NCF≅_______
∠PSH≅_______
△HSP≅_______

Solve for:

x=_______
y=_______
z=_______
Question 19
19.
Given △MTW ≅△BGK, find the missing values.

x=_______
m∠B=_______
y=_______
m∠T=_______
Question 20
20.
Given △UVW ≅ △TSR, find the values of x, y, and z

x=_______
y=_______
z=_______
Question 21
21.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. If there is not enough information then, write not enough information.
_______

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

Use the diagram to answer these questions:

What is the measure of ∠A? If the triangles are not congruent, write n/a.
m∠A=_______ °

What is the measure of ∠C? If the triangles are not congruent, write n/a.
m∠C=_______ °
Question 22
22.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. If there is not enough information then, write 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? If the triangles are not congruent, write n/a.
m∠PNQ=_______ °

What is the measure of ∠SQN? If the triangles are not congruent, write n/a.
m∠SQN=_______ °
Question 23
23.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL.

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

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


Solve for x. If the triangles are not congruent, write n/a.
x=_______
Solve for r. If the triangles are not congruent, write n/a.
r=_______
Question 24
24.
State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL.

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

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

Use the diagram to answer these questions by matching the corresponding parts of both triangles:

The side XW=_______

The side SU=_______
Question 25
25.
Given △MKP≅△YAC, complete each of the following statements with the corresponding parts.
KM≅_______
CY≅_______
PK≅_______
∠Y≅∠_______
∠K≅∠_______
∠ACY≅∠_______

Write the correct congruency statement.
△MPK≅△_______
△YAC≅△_______
Question 26
26.
Given △STW≅△BFN, find each missing measure.
BN=_______
TW=_______
BF=_______
m∠W=_______
m∠B=_______
m∠F=_______

Write the correct congruency statement.
△WTS≅△_______
△FNB≅△_______
Question 27
27.
Given △GHJ≅△XYZ, find each missing measure.
GJ=_______
XY=_______
ZY=_______
m∠H=_______
m∠Z=_______
m∠J=_______

Write the correct congruency statement.
△HJG≅△_______
△ZXY≅△_______