State whether the triangles could be proven congruent, if possible, by SSS or SAS.
Include a congruency statement for all congruent triangles.

Answer:

1. SSS

2. SAS

3. SAS

4. SSS

5. SAS

6. SAS

Step-by-step explanation:

1) Side FY ≅ Side CW  Given

Side FP ≅ Side CM     Given

Side YP ≅ Side MW    Given

∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency

2) ∠CBD ≅ ∠BCA given that both are alternate interior angles

Side EB ≅ Side EC and Side DB ≅ Side CA Given

ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency

3. ∠SVU ≅ ∠SVT   Given

Side SV ≅ Side SV  by reflexive property

Side VT ≅ Side VU   Given

∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency

4. Side MN ≅ Side QP  Given

Side MQ ≅ Side NP     Given

Side NQ ≅ Side NQ    by reflexive property

∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency

5. Indirect proof

Side GL ≅ Side HL  Given

Side GJ ≅ Side HK     Given

∠JLG ≅ ∠HLK    vertically opposite angles

By sine rule

GJ/sin(∠JLG) = GL/n(∠GJL)

Similarly

HK/sin(∠HLK) = HL/n(∠HKL)

∴ ∠GJL ≅ ∠HKL

∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent

∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency

6. ∠XZY ≅ ∠XZW   Supplementary ∠s with ∠XZY = 90°

Side XZ ≅ Side XZ  by reflexive property

Side ZW ≅ Side ZY   Given

∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.

The congruence theorems that can be used for each of the given pair of triangles are;

1) SSS

2) SAS

3)SAS

4) SSS

5) SAS

6) SAS

1) From the image we see that;

FY ≅ CW  

FP ≅ CM  

YP ≅ MW

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.

2) From the image we see that;

∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;

∠CBD ≅ ∠BCA

Also, we see that;

EB ≅ EC

DB ≅ CA

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.

3) From the image, we see that;

∠SVU ≅ ∠SVT

Using reflexive property, the shared sides give;

SV ≅ SV  

VT ≅ VU

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.

4) From the image, we see that;

MN ≅ QP

MQ ≅ NP

Using reflexive property, the shared sides give;

NQ ≅ NQ

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.  

5) From the image, we see that;

GL ≅ HL

GJ ≅ HK  

∠JLG and ∠HLK are vertically opposite angles and as such;

∠JLG ≅ ∠HLK

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.

6) We observe from the given triangles that;

∠XZY ≅ ∠XZW (They are both right angles = 90°)

Using reflexive property, the shared side is congruent to itself and so;

XZ ≅ XZ  

Also;

ZW ≅ ZY

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔXYZ ≅ ΔXWZ  using Side-Angle-Side (SAS) congruency theorem.

Read more at; https://brainly.com/question/14399801

Use inverse operations to solve: x + 3.2 = 7

PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!

DEFG has been dilated to D’E’F’G’. Use a pair of corresponding sides to determine the scale factor.

evaluate 68 x 71 mentally.

A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope?​ I will give brainliest and help you ☻

What does m represent in the equation y= mx + b?
none of these
the slope of the graph of
y = mx + b
the y-intercept of the
graph of y = mx + b
the run in the ratio
rise
run

51×59 evaluate and answer​

The sum of two numbers is 100, The difference between the two numbers is 95
workout the two numbers

so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.

1) |5x+5|+22>57

solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )


2) I= prt
solve for I

(EASY) I WILL MARK THE BRAINLYEST !!!

so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.

1) |5x+5|+22>57

solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )


2) I= prt
solve for I

HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)

Which shows the following numbers ordered from greatest to least?
0.5, 5/8, 65%, 3/5

A. 3/5, 5/8, 0.5, 65%
B. 0.5, 3/5, 5/8, 65%
C. 65%, 3/5, 0.5, 5/8
D. 65%, 5/8, 3/5, 0.5

I assume it's D, but I'm not fully sure.​

16) tan Ø
7C
6
Y
3
A)
B) -2
3
C)
داد
D)1
2

An artist will use isometric transformations of square LMNO to create a symmetrical design with contrasting colors.


Which statement is true?

If LMNO is reflected over the y-axis, the small center square in the image will have a lesser area.
It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a lesser area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a greater area.

NEED HELP ASAP!!!! please! 25 points!

What is the decimal equivalent of
7/8
?
A. 0.780
B. 0.870
C. 0.875
D. 0.885

A prime number is an integer greater than 1 with exactly two different positive factors, 1 and the number itself. There are three children in a family. Each of their ages is a prime number. The sum of their ages is 41 and at least two of the children have ages that differ by 16. Determine all possibilities for the ages of the children.

pls help me in this​

6x + 21y = 103
-6x + 23y = 51

Wich of the following lines is parellel to x=8

The cost to manufacture calculators is represented by the function (). The correct explanation of the statement (17)=225 is:

225 calculators cost $17


3,825 calculators cost $225


17 calculators cost $13.24


17 calculators cost $225

Find the product.
(v - 7su^2) (v + su^2)
Enter the correct answer.

HELP ASAPPP!!! !!!! PLEASE

What is the image of (-3,9) after a reflection over the y = x?

Please help me with this question

30 points!!
Find the missing term to make each statement true
1. 18e + __ = 12e
2. __ - (-21x) = 21x
3. 90z + __ = 80z

Round -5 1/2 to the nearest whole number

Plsss help mee :,) ill give brainlist

This​ week, 957 people went to the beach. Last​ week, 1,207 people went to the beach. The number of people who went to the beach fell by what​ percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than​ 25%

Struggling with this problem need help badly

Para preparar una limonada usé litro de jugo de limón natural. Además, utilicé litros de agua. ¿Cuántos litros de líquido utilicé para hacer la limonada?