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

Help please! Geometry will provide brainly

Answers

Answer:

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

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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.

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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.

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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 rational numbers are ______ Integers

Answers

A rational number are 2 integers

Answer:

A rational number is a fraction of 2 integers.

f(x) = -3x2 - 6x +1
Find f(8)

HELP HURRY!!

Answers

Answer:

not totally sure if this is right but if thats one of the answer choices then i think it is f(x)=-95 (so srry if i'm wrong)

I don’t think you really see it but if you can please help me I’m to lazy

Answers

Answer:

Step-by-step explanation:

c = 41.21 - 0.41L

hope this helps <3

i need help
with this

Answers

Answer:

Step-by-step explanation:

x=√3, y= 3

PLSSSS SOMEONE HELP MEEEEE !!!!!!!!

Answers

Answer:

First one

Step-by-step explanation:

Hope that helps!!!

Bens living room is a rectangle measuring 9 yards by 150 inches. By how many feet does the length of the room exceed the width?

Answers

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

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!

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)

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

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.

Find the nth term of the sequence:
9, 4, -1, -6, -11,.............

Answers

Answer:

-15

Step-by-step explanation:

goes down -5 each time

what is the gcf of 121, 0, -64

Answers

Answer: the answer is one

Step-by-step explanation:

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 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

PLEASE HELP ASAP!!!!!!!

Answers

Answer:

[tex]\frac{9}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1 \frac{1}{2} * \frac{3}{4}}{2}=\frac{9}{16}[/tex]

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:

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

Answers

Answer:

Step-by-step explanation:

Help neeed it right if not ill get beat

Answers

Answer:

Step-by-step explanation:

a b and d can be ruled out. brainliest.

Add a restaurant the ratio of kids meals sold two adult meals sold was 5:4 if there were 20 kids meals sold what is the combined amount of kids and adult meals sold?

Answers

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

The radius of a circle is 1 centimeter What is the circle's area?

Answers

Answer: It would be A= 3.14cm²

Step-by-step explanation:

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

Answers

Answer:

what the question

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?

Answers

The Tip amount was =7.77. So 49.77-42=7.77
The percent is 7percent

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:

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:

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:

help please i hate math

Answers

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

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!

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

Answers

Answer:

y=2x+2

I hope this helped out!

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!

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