Use the diagram to prove that ∆CAS≅TAS.

Answers

Answer 1

The two-column proof that shows that ΔCAS ≅ ΔTAS by HL Congruence Theorem is shown in the table attached below.

What is the HL Congruence Theorem?The HL Congruence Theorem is used to prove two right triangles congruent if both triangles have a pair of congruent hypotenuse and a pair of congruent legs.

Thus, ΔCAS and ΔTAS both have a pair of congruent legs and a pair of congruent hypotenuse. Therefore, the two-column proof that shows that ΔCAS ≅ ΔTAS by HL Congruence Theorem is shown in the table attached below.

Learn more about the HL Congruence Theorem on:

https://brainly.com/question/4155972

Related Questions

Solve the following quadratic equation by rearranging and then factorising x^2 + 3x - 15 = 2x - 13

Answers

Step-by-step explanation:

x² + 3x - 15 = 2x - 13

x² + x - 2 = 0

(x + 2)(x - 1) = 0

By zero product rule, (x + 2) = 0 or (x - 1) = 0.

Hence x = -2 or x = 1.

Answer:

x = -2 & x = 1

Step-by-step explanation:

x^2 + 3x - 15 = 2x - 13 so you takeaway 2x and add 13 to the other side to get x^2 + x - 2 = 0

(x+2)(x-1) = 0 find factors of -2 that get you x

(x+2) = 0 so x = -2 (x-1) = 0 so x = 1

Help please! Geometry will provide brainly

Answers

Answer:

Dilate triangle ABC with scale factor 1/3, then reflect over the line segment CD.

=================================================

Explanation:

We're given that BC = 18 and EC = 6. In order to map ABC onto DEC, we need to have the triangles the same size. In other words, the triangles must be congruent and in the same location. One triangle will be on top of the other.

To make triangle ABC congruent to triangle DEC, we need to have BC = EC. Currently BC is 3 times longer than EC. So we need to dilate with a scale factor 1/3

Note how (1/3)*18 = 6. This scale factor will reduce segment BC so it goes from 18 units long to 6 units long. The same applies to the other segments of triangle ABC.

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

After the dilation, triangle ABC is the same size and shape as triangle DEC. However, the two triangles are not in the same location. We would need point B to be at the same location of point E for the triangles to match up perfectly (point A and point C are already in their proper locations).

To move point B to E, we need to apply a reflection over the horizontal line CD. This will not move points A and C. Points on the line of reflection stay where they are.

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

So to summarize, we apply a dilation with scale factor 1/3 to triangle ABC. This gets triangle ABC to the right size. Then we reflect over the line segment CD so that point B moves to point E's location.

A piece of timber is x cm long. 9 cm is cut off how much is left

Answers

Answer:

x-9cm

Step-by-step explanation:

compute

9
(-2,3)
+ 8
8
-1
2
X
(2.-1)

Answers

Answer:

Step-by-step explanation:

Consider the following 8 numbers, where one labelled x is unknown.
41, 13, 15, X, 46, 46, 23, 12
Given that the range of the numbers is 53,

Answers

Answer:

X = 65.

Step-by-step explanation:

The range is the greatest number - least, so we have:

X - 12 = 53

X = 53 + 12 = 65.

Answer:

I think x=65

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Help neeed it right if not ill get beat

Answers

Answer:

Step-by-step explanation:

a b and d can be ruled out. brainliest.

Simplify: 2^3 sqrt 27x^3y^6 6xy^2
5xy^3 5xy^4 6xy^4

I will Mark Brainliest if you give the right answer

Answers

Answer: it is A

Step-by-step explanation:

it is 6xy^2

Answer:a

Step-by-step explanation:

plz help w these 5 problems. i’m begging anyone ! please please please .

Answers

Answer:

what the question

1. When the point is reflected over x-axis, what will
the new coordinates of the new point be?

Answers

Answer:

(x , y) ----> (-x , y)

Step-by-step explanation:

(x , y) ----> (-x , y)

Example for 1. :

(-4,2) ---> (4,2)

A family eats at a restaurant. The bill is 42.

The family leaves a tip and spends 49.77 total.

How much money does the family tip?
How much is the tip as a percentage of the bill?

Answer: The combined amount of kids and adult meals sold = 36

Step-by-step explanation:

Let the number of kids meals sold = 5x and the number of adult meals = 4x

Since total kids meals sold = 20

Then, 5x= 20

⇒ x =4

Adult meals = 4(4) = 16

Combined meals sold = kids meals + Adult meals

= 20+ 16

= 36

Hence, the combined amount of kids and adult meals sold = 36

i need help
with this

Answers

Answer:

Step-by-step explanation:

x=√3, y= 3

The question is in the picture. I’ll appreciate it so much !! Thank you !!!

Answers

Answer:

y=2x+2

I hope this helped out!

Help me with this multiple choice question!

Answers

Answer:

B -4 A-7 C 0.5 D 2 E3 then F 11

Step-by-step explanation:

PLEASE HELP ME WITH THIS TEST the LAST QATION AND I STUCK ON IT

Answers

Answer:

x = 36

∠M = 36

∠P = 71

∠N = 73

Step-by-step explanation:

Please help I don’t understand

Answers

Answer:

1/2

Step-by-step explanation:

y = mx + b

the "m" is the slope

and the b is the y-intercept

as you can see from the equation y = 1/2x + 3

the 1/2 substituted the m which is the slope

so the slope of the line is 1.2

Hope this helped!

help please i hate math

Answers

4n+2=6(1/3n-2/3)
n= -3

simplify this fraction, it can be a whole number or decimal :)
4.2/-0.2

Answers

Answer:

yes cuz +1+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

A rational numbers are ______ Integers

Answers

A rational number are 2 integers

Answer:

A rational number is a fraction of 2 integers.

Answer:

14.5 ft or 14 1/2 ft

Step-by-step explanation:

36in= 1 yard

9x36= 324in (I'm guessing this is the length)

324in (length) -150in (width)= 174in

12 in= 1 ft

174/12= 14 ft 6 in

6 inches is half a foot

14.5 ft or 14 1/2 ft

Carrie Crop Growers square garden has a side length of 12 feet. What is the area of the garden? What is the perimeter?

Answers

Answer:

Area = 144 Perimeter = 48

Step-by-step explanation:

if the garden is square and the length is 12 all you do is 12 * 12 for the area and 12+12+12+12 for the perimeter.

What does the question mark stand for in the following when you factorise:
10a2 +15ab = 5a(2a+?)

Answers

I think it’s 0 as my calculations are right I would think!

Please help I’ll give branliest and 100 points

Answers

32/8 simplified is 4. 36 divided by 4 is 9. so.. 9+7 is 16 times 14 is. 224. The answer is 224. :)

Answer:

Step-by-step explanation:

Other Questions

Which statements are true about the function f(x) = |x| 2? Check all that apply.The parent function and this function open in the same direction.The parent function and this function have the same range.The parent function and this function have the same domain.The range of the function is all real numbers less than or equal to 2.The domain of the function is all real numbers greater than or equal to 2.There are no values from the domain of the parent function that are also in the domain of this function. 77. Two blocks, with masses m1 = 400 g and m2 = 600 g, are connected by a string and lie on a frictionless tabletop. A force F = 3.5 N is applied to block m2. Find the acceleration of each object. Read the excerpts from "Flowers for Algernon."We had a lot of fun at the factory today. Joe Carp said hey look where Charlie had his operashun what did they do Charlie put some brains in. I was going to tell him but I remembered Dr Strauss said no. Then Frank Reilly said what did you do Charlie forget your key and open your door the hard way. That made me laff. Their really my friends and they like me.***I didn't know what to do or where to turn. Everyone was looking at me and laughing and I felt naked. I wanted to hide. I ran outside and I threw up. Then I walked home. It's a funny thing I never knew that Joe and Frank and the others liked to have me around all the time to make fun of me.What conclusion can be drawn about Charlie based on his description of the events in these passages?He becomes too trusting of other peoples motives after the operation.He no longer wants to connect with others as he becomes smarter.He no longer cares if other people like him after the operation.He better understands the behavior of others as he becomes smarter. What is the similarity between land and capital in economics/ le Which describes how light waves can interact with wood? (14 Points) O A. absorption and reflection O B. diffraction and transmission 0 C. reflection and refraction O D. transmission and refraction Why may have the workingclass felt oppressed duringthe Industrial Revolution? 20 POINTS FOR THE FIRST PERSON TO ANSWER Matt has a bag of candy form a party. The bag contains 8 chocolate bars, 5 pieces of gum,8 lollipops, and 4 jawbreakers. Which statement is true?A. The probability of randomly selecting a piece of gum is less than the probability of randomlyselecting a lollipop.B. The probability of randomly selecting a chocolate bar is equal to the probability of randomlyselecting a jawbreaker.C. The probability of randomly selecting a lollipop is greater than the probability of randomlyselecting a chocolate bar.D The probability of randomly selecting a piece of qum is what can i do when im sick but were do i go to What does the author mean when says, America was born from protest? Choose an answer that correctly paraphrases the importance of these words spoken by Shimazu Nariakira: "If we take the initiative, we can dominate; if we do not, we will be dominated." Remember, he said this in regards to the events between England and China.a. Be a leader or a follower.b. Become an Empire or become part of someone else's empire.c. Be a bully or be a victim. 1. What is the text Autism and Therapy Horses mainly about? * The scale factor from the large triangle to the small triangle is 3:1 What is the length of side x of the smaller triangle? In every work of genius we recognize our own rejected thoughts: they come back to us with a certain alienated majesty. Great works of art have no more affecting lesson for us than this. They teach us to abide by our spontaneous impression with good-humored inflexibility then most when the whole cry of voices is on the other side. Else, to-morrow a stranger will say with masterly good sense precisely what we have thought and felt all the time, and we shall be forced to take with shame our own opinion from another.In this excerpt from "Self-Reliance," what idea does Emerson further develop?Imitation is the lack of trust in oneself.People have little appreciation of the classics.Great work is a source of peacefulness.Opinions are a form of religion. how to give feedbacks PART A: Which TWO reasons best explain why Edna and Leonce married?A. Edna's family didn't approveB. It was love at first sight for EdnaC. Leonce was a wealthy manD. They had a lot in commonE. Leonce felt strongly for Edna very quicklyF. Edna was pressured by her family to marry I will mark brainliest yo guysWhy should the voting age in America be changed from 18 to 16 A gas occupies 1.00cm^3 at STP. What volume does it occupy at 710.0 mm Hg and 55.0C 4. If x=2, which equation is true?A. 3(8-X)=18B. 3(9-x)=30C. 2(x-8)=24D. 4x-8=20 True or false - elderly people are living in poverty? What is the value of the expression?? PLEASE HELPPPPP