For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).

For Part (a), Determine Whether The Triangles Are Congruent By SSS Or SAS. If Not Congruent, Write Not

Answers

Answer 1

The congruency rules is as follows;

4)a) The triangles are congruent by SSS Congruency Postulate

b) Triangle PQR is congruent to Triangle PQS

5a) The triangles are not congruent

b) Triangle VWZ is not congruent to Triangle YXZ

6a) The triangles are congruent by SAS Congruency Postulate

b) ΔACB is congruent to ΔDBC by SAS Congruency Postulate

7) The triangles are not congruent

b) ΔKLJ is not congruent to ΔMNL

How to Identify Congruent Triangles?

There are different congruency postulates or theorems as it pertains to congruent triangles and they are;

AAS theorem which denotes Angle-Angle-Side Theorem

HL theorem which denotes Hypotenuse-Leg Theorem

SSS Postulate which denotes Side-Side-Side Postulate

ASA postulate which denotes Angle-Side-Angle Postulate

SAS Postulate which denotes Side-Angle-Side Postulate

5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. However, the third side is also congruent by reflexive property of congruency and as such we now have three sides congruent by SSS Congruency Postulate.

5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. Now, the angle where the transverse lines intersect is not given but we can see that they are opposite angles by definition of opposite angles. Thus, the triangles are congruent by SSA Congruency Theorem because it has a non-included angle but SSA Congruency is not valid and so this is not congruent.

6) We can see that one side is given to be congruent. However, by reflexive property of congruence, we see that BC is congruent to itself and also the included right angle being congruent to each other. Thus, this is congruent by SAS Congruency postulate.

7) The triangles are not congruent because we are not given any third congruent side nor the angles and we can't use the given data to prove congruency.

Read more about Congruent Triangles at; https://brainly.com/question/1675117

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Related Questions

Hey lol pls help meim rlly bad at math

Answers

Answer:

x=24 ,y=156 ,z=24

Step-by-step explanation:

using linear pair 180 degrees

Solve the equation w=cx-h for x.

Answers

Answer:

That's your answer. Let me know if you need an explanation.

w=cx-h
add h to both sides
w+h = cx
divide both sides by c
(w+h)/c = x

answer:
x = (w+h)/c

3c+2d=-24 and 2c+5d= -38

Answers

Answer:

c=-4, d=-6

Step-by-step explanation:

Calculate the area of the trapezoid

Answers

Answer:

180 in^2

Step-by-step explanation:

area = 5(sq rt 75) x (sq rt 27) - [5(sq rt 75)-5(sq rt 27)] x 3(sq rt 3) x 0.5

area = 180 in^2

1) Find the linear equation from the
graph:

Answers

Answer:

y = -1/2 x - 3

Step-by-step explanation:

Use the coordinates from the graph:

(-6, 0) and (0, -3)

Slope m = -3-0/0-(-6)

m = -3/6

m = -1/2

The y-intercept is -3 (point where the line meet the y intercept)

Substitute unto the expression y = mx+c

y = -1/2 x - 3

Hence the required equation is y = -1/2 x - 3

coat is 20% off. If the regular price of the coat is $225, what is the sale price of the coat?

Answers

Answer:

$180

Step-by-step explanation:

$225 times .20 = 45 .   225-45=180

Answer:

$180

Step-by-step explanation:

Find 1% of the price.

100% = 225

1% = 225 ÷ 100 = 2.25

100 - 20 = 80% (Percentage of sale price)

80% = 2.25 x 80 = 180

France had 8,306,000 visitors while Australia had 15,976,000 visitors. How many combined visitors did they have?

Answers

Answer:

24,282,000 visitors (total)

Step-by-step explanation:

Add these two counts together:

8 306 000

15 976 000

------------------

24 282 000 total number of visitors

Answer:

Add the number of France visitors and Australia visitors and you will get...

Step-by-step explanation:

24,282,000 visitors

HELPPP

Jose starts a savings account with $80. At the end of 6 months, the account had $350. Assuming there is a constant rate, how much did Jose save per month?

Answers

Answer:

w

Step-by-step explanation:

Angle ABC is a straight angle. The measure of angle ABD is x. What is the value of x?

Answers

Answer:

45 degrees

Step-by-step explanation:

A straight angle is equal to 180, so subtract 135 from 180

Answer:

45

Step-by-step explanation:

(5x^2-4X + 7) - (4x + 2)

Answers

5x’2-4x+7-4x-2
We add the two 4
5x’2-8x+7-2
5x’2-8x+5
The answer is
5x’2 -8x +5

4.I need help this is timed!!

Answers

Answer:

c. (-1, -2)

Step-by-step explanation:

The solution is the point of intersection of the lines.

Read that point off the graph.

Start from the point where the x-axis and the y-axis intersect. Go left 1 unit. That is x = -1. Now go down 2 units. That is y = -2. The point that has x-coordinate -1 and y-coordinate -2 is the point (-1, -2). That is the solution.

The point is (-1, -2).

Answer: C. (-1, -2)

655 + (6.3 x 170) + (4.7 x 58) - (4.7 x 18)

Answers

Answer:

1914

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

655 + (6.3 × 170) + (4.7 × 58) - (4.7 × 18)

Step 2: Evaluate

(Parenthesis) Multiply:                                                                                    655 + 1071 + (4.7 × 58) - (4.7 × 18)(Parenthesis) Multiply:                                                                                     655 + 1071 + 272.6 - (4.7 × 18)(Parenthesis) Multiply:                                                                                    655 + 1071 + 272.6 - 84.6Add:                                                                                                                 1726 + 272.6 - 84.6Add:                                                                                                                 1998.6 - 84.6Subtract:                                                                                                          1914

Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above

Answers

none of the above
hope this helps :)
None of the above the answer would be 205
May God bless you and your family

I don't know this question. I REALLY NEED HELP!!!

Answers

Answer:

If it is asking what the answer is when you plug in 5 and 4 to the equation, it would be 54

Answer:

54

Step-by-step explanation:

10m + [tex]\frac{n^{2} }{4}[/tex]

First insert the m value and then multiply

10m = 10(5) =50

then the equation becomes 50 +  [tex]\frac{n^{2} }{4}[/tex]  

Second insert the n value

[tex]\frac{4^{2} }{4}[/tex]

4 to the second power = 16 so it becomes 16 over 4 aka 4 wholes

50+16/4

50+4=54

The product of two numbers is 4 2/9, if one of the number is 38, find the number

Answers

Answer:

let x and y be the two number then according to question ,

xy=4 2/9

or, xy= 38/9

if one of the number is 38 then,

38x=38/9

or, x= 1/9 is the correct ans.

help me please this is very important to me for rbainlist and explain

Answers

Answer:

Step-by-step explanation:

The probability of getting one even and one odd is the sum of probability of getting even and of getting odd and even. Since there are 3 even or odd on each die out of six numbers you have

P(EO)(3/6)(3/6)=1/4 and P(OE)=(3/6)(3/6)=1/4 so 1/4+1/4= 1/2

or you can find the probability of getting two odds or two evens and subtract that from 1

P(EE)=(3/6)(3/6)=1/4, P(OO)=(3/6)(3/6)=1/4

P(EO)=1-1/4-1/4=1/2

heyy could you help me out with this question I have been stuck in this question??​

Answers

Answer:

true, false, true that is the answer I belive

Shay wants to buy a bag of honey crisp apples. One bag has a cost of $6.00. If there are 12 apples in each bag, what is the unit price per apple? Show your work. please help ill mark brainliest

Answers

Answer:

50 cents per apple

Step-by-step explanation:

to find the unit price you have to divide the total cost by number of apples

6.00÷12=0.5

I NEED HELP NOW ITS DUE TODAY AND I HAVE MORE AHHHHHHHHH
Lin needs to save up $20 for a new game. How much money does she have if she has saved 25% of her goal?

Answers

Answer:

She has $5

Step-by-step explanation:

5$ if it helps with any other questions you can search for example what is ——% of —— and you will get the answer easier
Hope this helps!

Shirley went shopping in a mall. She reached the mall 12.5 minutes later than her usual time. While returning she took 20 minutes more than twice her usual time to reach home. If the usual time she takes to reach the mall is 40 minutes, find the total number of minutes Shirley spent going and coming back from the mall.

Answers

Answer:

Total time Shirley spent  going and coming back from the mall= 152.5 minutes

Step-by-step explanation:

Usual time it takes to reach mall from home = 40 minutes

New time she took to reach the mall=12.5 minutes later than her usual time

= 40 minutes + 12.5 minutes= 52.5 minutes

New time she took to reach home ( lets assume she followed the same route as coming from home in which she spends 40 minutes) =20 minutes more than twice her usual time to reach home.=20 minutes + 2(40)= 20 minutes  + 80 minutes

=100 minutes

Total time  going and coming back from the mall =52.5 minutes  +100 minutes = 152.5 minutes

Axel owns stock in a company. He purchased the stock In January at a price of $250 a share. From January to February, the stock price decreased by 38% a share. From February to March, the stock price increased by 20% a share. By what percentage did the price of the stock decrease per share from January to March?

Answers

Answer:

25.6%

Step-by-step explanation:

Purchase price = $250 / share

Jan - feb : 38% decrease

(100 - 38)% * 250 = $155

February - March : 20% increase

(100 + 20)% * $155

120% * $155 = $186

Percentage decrease from January to March :

[(250 - 186) / 250] * 100%

(64 / 250) * 100%

0.256 * 100%

25.6%

If a country has a GDP of $100 and a population of 10, what is their GDP Per Capita?

Answers

Answer:

$10

Step-by-step explanation:

Per capita means per person, so divide the GDP by the number of people.

$100/10 = $10

Write a ratio for the following situation. For every 10 toes, there are 2 feet.

Answers

Answer:

5:1

Step-by-step explanation:

10 toes = 2 feet

10:2

Simplify!

5:1

10 - 4 (3-2y) = 8y -5

Answers

Answer:

No Solutions

Step-by-step explanation:

10 - 4(3-2y) = 8y - 5

Distribute:

10 - 12 + 8y = 8y - 5

Simplify:

-2 + 8y = 8y - 5

Same to both sides

-2 + 5 = 8y - 8y

3 = 0y

No Solutions

Let me know if you have any questions

Mia ran 10 laps in 6 minutes. Shawna ran 5 laps in 4 minutes.
Which person ran at a faster rate? Use mathematics to justify your answer.

Answers

Answer:

mia

Step-by-step explanation:

mia: 10/6 per minute

shawn: 5/4 per minute

common denominator is 12, multiply by 2 and 3

20/12 lap per minute mia

15/12 laps per minute shawn

20 > 15

Mia is faster because if we take 5/4 we will need to get the the minutes to the same so they could both go into 12 minutes. So Mia would run 20 laps in 12 minutes and Shawna would run 15 laps in 12 minutes

can someone please help me, i have to turn this in soon.​

Answers

B is the correct answerPlease let me know if I am wrong.

❄️✨⚡️WILL MARK BRAINLIEST⚡️✨❄️

Answers

b. -10 each time

c. The height of the slide/ the height at the top of the slide

d. 6 seconds. when Kirk is on the ground ( 0 feet off the ground), 6 seconds have past. You can see this in the point (6,0)

Find the measure of each angle in the angle pair described.
The measure of one angle is twice the measure of its supplement. What are the measures of the two angles?

Answers

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree

You did not attach a photo of the angles!

brainliest to whoever can answer questions correctly ​

Answers

Answer:

v ~ 32.72

Hope that helps!

Find the values of the variables and the lengths of the sides of this kite.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer of this question .

plz mark my answer as brainlist.

hope this will be helpful to you.

Answer:

D

Step-by-step explanation:

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