uestion 1

Question

Video Player

A)
What theorem can be used to prove that the triangles are congruent?

(1 point)
Responses

SSS
SSS

ASA
ASA

AAS
AAS

SAS
SAS

HL
HL

Not Possible to prove congruency with the given information
Not Possible to prove congruency with the given information
B)
Write a congruency statement for the triangles

(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
△CWX ≅ △
Response areaResponse areaResponse area
C)
What theorem can be used to prove the triangles congruent with the given information>

(1 point)
Responses

AAS
AAS

HL
HL

SAS
SAS

Not Possible to prove congruency with the given information
Not Possible to prove congruency with the given information

SSS
SSS

ASA
ASA
D)
Complete the congruency statement for the triangles below

(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
△PVK≅△
Response areaResponse areaResponse area
E)
What theorem below can be used to prove the two triangles congruent with the information given?

(1 point)
Responses

HL
HL

AAS
AAS

ASA
ASA

SAS
SAS

Not Possible to prove congruency with the given information
Not Possible to prove congruency with the given information

SSS
SSS
F)
Which of the theorems below allows us to prove these two triangles congruent?

(1 point)
Responses

SAS
SAS

SSA
SSA

SSS
SSS

ASA
ASA

AAS
AAS

They can not be proved congruent with the given information
They can not be proved congruent with the given information

HL
HL
Question 2
A)
Video Player

Triangles ABC and XYZ are congruent, and the measure of angle A = 5x + 3, the measure of angle B = 3x + 23, and the measure of angle X = 7x - 27. Find the value of x.

(1 point)
x =
$$ (Type the number only! No letters or symbols)
B)
Video Player

In an isosceles triangle, the vertex angle is 28 degrees. What are the measures of each of the base angles?(1 point)
$$ degrees
Question 3
A)
Use the following information to complete the statements below

△JKI ≅ △ TSU



(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
<K ≅
<Response area

<U≅
<Response area

JI¯¯¯¯¯¯≅
Response area



Question 4
A)
What additional information is needed to prove the triangles congruent using SAS Congruency Theorem

(1 point)
Responses

<U ≅
<V

UL¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯
line segment cap u liters is congruent to line segment cap w cap v

<L ≅
<W

UW¯¯¯¯¯¯¯¯¯≅VL¯¯¯¯¯¯¯
line segment cap u cap w is congruent to line segment cap v liters
B)
What additional information do you need to know in order to prove the triangles congruent using SSS?

(1 point)
Responses

<P = <D

QR = EF
QR = EF

<Q = <E

PR = DF
PR = DF
Question 5
Pay close attention!!
These questions are to help you prepare for the test. If there are problems you do not know how to do, I would go back in the lesson and relearn it or attend tutoring.

Other concepts to know:

Triangle Angle Sum Theorem

The transformations needed to prove triangles congruent

Question 6
Watch the video to get help with this problem
There is a problem like this on your test! Make sure you can explain it!
Video Player

A)
Can the two triangles below be shown to be congruent using ASA?

(1 point)
Responses

No, they can not be shown congrent with ASA
No, they can not be shown congrent with ASA

Yes, by using the triangle angle sum theorem, we can figure out that the missing angle in the pink triangle is 100 degrees and then use ASA

Answer 1

Certainly! Below are the answers and instructions for the questions you provided:

Question 1

A) What theorem can be used to prove that the triangles are congruent?

• Response: SSS, SAS, AAS, ASA, HL, or Not Possible to prove congruency with the given information (Choose the applicable one).

B) Write a congruency statement for the triangles.

• Response: △CWX ≅ △ (you'll need to fill in the appropriate triangle corresponding to △CWX).

C) What theorem can be used to prove the triangles congruent with the given information?

• Response: AAS, HL, SAS, Not Possible to prove congruency with the given information, SSS, or ASA (Choose the applicable one).

D) Complete the congruency statement for the triangles below.

• Response: △PVK ≅ △ (you'll need to fill in the appropriate triangle corresponding to △PVK).

E) What theorem below can be used to prove the two triangles congruent with the information given?

• Response: HL, AAS, ASA, SAS, Not Possible to prove congruency with the given information, SSS (Choose the applicable one).

F) Which of the theorems below allows us to prove these two triangles congruent?

• Response: SAS, SSA, SSS, ASA, AAS, They can not be proved congruent with the given information, or HL (Choose the applicable one).

Question 2

A) Find the value of x.

• To find the value of x, set up the equation using the fact that the angles are congruent: \[ 5x + 3 = 7x - 27 \] Solve for x: \[ 5x + 3 = 7x - 27 \] \[ 3 + 27 = 7x - 5x \] \[ 30 = 2x \] \[ x = 15 \]
• Response: x = 15

B) In an isosceles triangle, if the vertex angle = 28 degrees, then the base angles each equal:

• The sum of angles in a triangle is 180 degrees, therefore: \[ 180 - 28 = 152 \] Divide the remaining angle's measure by 2: \[ 152/2 = 76 \]
• Response: 76 degrees

Question 3

A) Use the following information to complete the statements below.

• Based on ΔJKI ≅ ΔTSU:
• Response for <K ≅: <T
• Response for <U ≅: <I
• Response for JI ≅: TS

Question 4

A) What additional information is needed to prove the triangles congruent using SAS Congruency Theorem?

• Response: UL ≅ WV (or the relevant line segments as applicable).

B) What additional information do you need to know in order to prove the triangles congruent using SSS?

• Response: QR = EF (or the relevant line segments as applicable).

Question 5

• Consider reviewing the Triangle Angle Sum Theorem and any transformations used in proving triangles congruent.

Question 6

A) Can the two triangles below be shown to be congruent using ASA?

• Response:
  • If you determine that there are sufficient angles to apply ASA, then choose: "Yes, by using the triangle angle sum theorem, we can figure out that the missing angle in the pink triangle is 100 degrees and then use ASA."
  • Otherwise, choose: "No, they can not be shown congruent with ASA."

Make sure to review the specifics when you make selections, as proper selections depend on the context and visual information you might have in front of you.