Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.
Select ALL statements that MUST be true. *
A. Angle ABC is 60 degrees.
B. Angle AQA' is 60 degrees.
C. Points C and C' coincide.
D. Triangles ABC and A'B'C' are congruent.
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
G. Segment BQ is congruent to segment C'Q.
H.Segment AQ is congruent to segment A'Q.

Answers

Answer 1

Answer:

The correct options are;

D. Triangles ABC and A'B'C' are congruent

E. Angle ABC is congruent to angle A'B'C'

F. Segment BC is congruent to segment B'C'

H. Segment AQ is congruent to segment A'Q'

Step-by-step explanation:

The given information are;

The angle of rotation of triangle ABC = 60°

Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;

1) The length of the sides of the figure of the preimage and the image are congruent

Therefore;

BC ≅ B'C'

2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image

Therefore;

∠ABC ≅ ∠A'B'C'

3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation

Therefore;

Segment AQ ≅ A'Q'.


Related Questions

plzzzzzzzz help 30 brainlist

Answers

It is 896 cubic inches

Answer: 896

(1)/(2)12*14*6=504

(1)/(2)8*7*14=392

504+392=896

Katy's 4 dogs eat a total of 16 dog biscuits every day. How many biscuits will they eat in 45 days?

Answers

Answer:

720

Step-by-step explanation:

16*45=720

Answer:

720

Step-by-step explanation:

If in 1 day they eat 16 biscuits, then in 45 days they eat 45 * 16 biscuits.

45 * 16 = 720

Answer: 720

Find the value of x to the nearest tenth.
х
34°
48

Answers

Answer:

x ≈ 39.8

Step-by-step explanation:

cos∅ = adjacent / hypotenuse

Since we are given a right triangle, we can use trigonometry to help us solve for missing values:

cos34° = x/48

x = 48cos34°

x = 39.7938

x ≈ 39.8

X= 39.79
(39.8 rounded)
Cos= adj/hyp

Find the slope of the line through the given points. c (1,3) and (0,−9)

Answers

if you put it in the slop calculator it will tell you

Each marble bag sold by Jina's Marble Company contains 4 orange marbles for every 3 green marbles. If a bag has 18 green marbles, how many orange
marbles does it contain?
marles

Answers

24 orange marbles
18/3=6 - 6 groups of 3 green marbles
6x4=24

Evaluate ab for a = 2 3/4 and b = 4/5.

Answers

Rewrite a as an improper fraction:

2 3/4 = 11/4

Now you have 11/4 x 4/5

Multiply the two top numbers together and the two bottom numbers together.

11x4 / 4x5 = 44/20 now rewrite as 2 4/20 which can simplify to 2 1/5

There are 144 children performing in 3 school bands each band has the same number of children how many children are performing in each school brand

Answers

Answer:

48 children performing.

Step-by-step explanation:

Well all you do is divide 144 by 3 and you will get the answer of 48.

The answer is 48, because 144 students divided by 3 school bands is 48.

What early human development was necessary for survival in cold environments?

A finding shelter in caves
B banding together in clan groups
C wearing wool clothing for warmth
D creating language to communicate

Please: It is not C, so do not bother with that. I checked several others and people have different answers. If it right, i will mark brainliest

Answers

I thought it would be c but try b or a
(A) finding shelter in caves that’s where they also developed a form of illustration by drawing on caves

7.) What is -10 has a fraction?

Answers

-10/1 is the correct answer
ANSWER : -10/1
Nothing further can be done to this topic

Cynthia is making peanut butter cookies. Her recipe calls for 2 cup of peanut butter to make 1 dozen cookies. Which fraction best represents the ratio of cups of peanut butter to number of cookies? A 1/36 B. 1/12 C 1/6 D 1/4​

Answers

Answer:

D I think

Step-by-step explanation:

one dozen is 12 so you reduce it so you make it smaller

Solve the following literal equation for x.

ax-b/c=d

Answers

Answer:

x = (d + b/c)/a

or x = d/a + ba/c

Step-by-step explanation:

1. ax - b/c = d

2. ax = d + b/c

3. x = (d + b/c)/a  (can also be written as x = (d + b/c)*1/a)

4. x = d/a + ba/c

Step 1 is given.

In step 2, b/c was added to both sides of the equation. This works because division is ahead of subtraction in the order of operations.

In step 3, both sides were divided by a.

(optional) In step 4, 1/a was multiplied by the values inside the parenthesis as a means to further simplify the equation.

Elsa has $ 48.65 in her savings account and $ 23.40 in her wallet.
Part A: How much money does Elsa have in total?
O $61.16
O S 71.05
S 72.05
O S 73.05
Part B:
Elsa decides to take half of the money that's in her wallet and deposit it into her savings account
How much money will she add to the account?
O $11.70
O $ 24.33
O $ 46.80
0 $ 60.35

Answers

Answer:

did you say elsa lol

Step-by-step explanation:

LET IT GO LET IT GOOOOOOOOOOOO

Answer: A 71.05

B 11.7

It can be confusing but here are your answers

Factor the following polynomial
a^4 b^3-a^3b^4 +a^2b^5

Answers

Answer:

a^2 b^3 (b^2 - a b + a^2)

Step-by-step explanation:

Factor the following:

a^2 b^5 - a^3 b^4 + a^4 b^3

Hint: | Factor common terms out of a^2 b^5 - a^3 b^4 + a^4 b^3.

Factor a^2 b^3 out of a^2 b^5 - a^3 b^4 + a^4 b^3:

Answer: a^2 b^3 (b^2 - a b + a^2)

What is an equation of the line that passes through the point (6,6) and is parallel to the line 3x-2y=4?

Answers

Answer:

Fraction: y= 3/2x-3

or

Decimal: y= 1.5x-3

Step-by-step explanation:

Turn 3x-2y=4 into y=mx+b form

Subtract 3x from both sides

-2y=4-3x

Divide -2 from both sides

y= -2+3/2x

y= 3/2x-2

Since the line is parallel, use slope 3/2

Put point (6,6) into equation to find b

6=3/2(6) + b

6=9 + b

-3 = b

Put into equation

y= 3/2x-3

Answer:

Step-by-step explanation:

y= 3/2x-3

You must find the lowest common denominator to perform which math functions?

Answers

Answer:

i think it's fractions

Step-by-step explanation:

20POINTS!
HELP ME PLZZ I NEED HELP WITH THIS IT IS DUE TOMORROW !!

Answers

Step-by-step explanation:

The denominators are 2, 3, and 4.  The least common denominator is the least common multiple (LCM) of these numbers.

To find the LCM, first write the prime factorizations.

2 = 2¹

3 = 3¹

4 = 2²

The LCM is therefore 2² × 3 = 12.

Rewrite the fractions with a denominator of 12.

⁷/₄ + ¹/₂ + ⁵/₃ + ¹/₃ + ¹/₄ + ¹/₂

= ²¹/₁₂ + ⁶/₁₂ + ²⁰/₁₂ + ⁴/₁₂ + ³/₁₂ + ⁶/₁₂

Now that the denominators are the same, we can simply add the numerators.

= ⁽²¹⁺⁶⁺²⁰⁺⁴⁺³⁺⁶⁾/₁₂

= ⁶⁰/₁₂

= 5

solve for r. ( geometry )

Answers

Answer:

r i r

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

First, distribute. 12r + 16 = -16r - 40

Then get r on one side by adding 16r to both sides then subtracting 16 from both sides.                  28r = -56

Finally, divide by 28 on both sides to get r by itself.

r = -2

Please help me with this...
Jay’s car gets 35 miles for every 2 gallons of gas. Give the slope.

Answers

Answer:

17.5? i think

Step-by-step explanation:

35 miles for every 2 gallons of gas

jay's car would go 17.5 miles for one gallon of gas


What conclusion can you draw from the following statements using the Law of Syllogism?
• If a figure is a square, then it has four sides.
• If a figure has four sides, then it is not a triangle


The potions for the answer is in the photo

Answers

Using the Law of Syllogism, the conclusion that you can draw from the two given premises is: C. If a figure is a square, then it is not a triangle.

The law of Syllogism is a method of deductive reasoning which involves drawing a conclusion from two premises.

Applying this law, there are usually three statements.

The first and second statements are the premises. The first statement is the major premise that connects to the second statement.

The third statement is the conclusion derived from the two premises stated earlier.

For example:

Statement 1: If a, then b (premise)

Statement 2: If b then c (premise)

Statement 3: If a, the c (conclusion)

In the question above, in the same vein, from the first and second statement, we can conclude that:

If a figure is a square, then it is not a triangle, because a square has 4 sides and a triangle doesn't.

Therefore, using the Law of Syllogism, the conclusion that you can draw from the two given premises is: C. If a figure is a square, then it is not a triangle.

Learn more about the Law of Syllogism here:

https://brainly.com/question/1622136

Convert 6 ounces into grams. Round your answer to the nearest whole
number.

Answers

Answer:

170

Step-by-step explanation:

You have to multiply the amount of ounces you want converted by 28.35. Then you have your ounces converted to grams.

If you use this formula then you would have, 170 X 28.35 = 170.1

When you round 170.1 to the nearest whole number you will get 170.

The conversion of 6 ounces into grams is 170 grams.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number.

Multiply the number of ounces you want to be converted by 28.35. Use the conversion.

1 ounces = 28 .35 grams

6 ounces = 6 x 28.35 grams

6 ounces = 170 grams.

Hence, 6 ounces is equal to 170 grams.

To know more about unit conversion follow

https://brainly.com/question/9921605

#SPJ2

I really need help. pls help
What congruent triangles have in common with similar triangles is that ....

What the main difference between congruent triangles and similar triangles is that ....

Answers

Common: Both equal to 180 sides
Difference: Congruent has all sides the same
Similar has all angles the same

Plz help I will mark you brainlist plz ​

Answers

I gotchu.

8. -10
9. 1
10. 13
11. 2/5
12. 8
13. -11/7
14. 20
15. -4
16. 12

A store sells a certain digital camera model for $108. During a special promotion, the camera is discounted by 30%. What is the discounted price?

Answers

Answer:

$108

30% discount=30/100*(108)

.......(30*108)/100

........3240/100

=$32.4

Discount=$108-$32.4=$75.6

Step-by-step explanation:

Answer:

$32.4

Step-by-step explanation:

0.35 rational or irrational

Answers

Answer:

Irrational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

The number 35 is a rational number if 35 can be expressed as a ratio, as in RATIOnal. A quotient is the result you get when you divide one number by another number. For 35 to be a rational number, the quotient of two integers must equal 35

If the measures of two angles of a triangle are 87 and 17 ​, what is the measure of the third​ angle

Answers

Answer:

76 degrees

Step-by-step explanation:

The total of the three angles in a triangle should equal 180 degrees. So to find the third angle, subtract the two given angles from 180

180 - 87 = 93

93 - 17 = 76

The third angle is 76 degrees because then all angles will add up to 180

-3, 6, -12, 24, -48, what are the next two numbers in the set?

Answers

The next two answers would be 96 and -192.

Write the absolute value equation that has these two solutions x= (-8,22)

Answers

Answer:

8,22

Step-by-step explanation:

19 - 3 x 4 ÷ (-6)


Please explain step by step :)

Answers

Answer:

21

Step-by-step explanation:

21

Answer:

21

Step-by-step explanation:

we can simplify -3×4÷(-6) which is equivalent to =2

so grab the 19 and add the simplified expression which is the 2 so 19+2= 21

Sharon is planning a holiday for 4 people for 7 days

Here are the costs for the holiday for each person

Travel-£130 hotel-£60 for each day spending money-£350
Work out the total cost of the holiday for 4 people for 7 days

Answers

Answer:

3600

Step-by-step explanation:

Each PERSON cost:

Travel cost 130 (assume for whole 7 days since per day is not written)

Hotel 60 per day (so 7 days = 60 * 7 = 420)

Money Spend 350 (assume for whole 7 days since per day is not written)

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

Now, that sums to:

130 + 420 + 350 = £900 [each person for whole 7 days]

Now, there are 4 person, so total cost of whole group (4 persons):

900 * 4 = £ 3600

some please help!!!!!!!!!!!​

Answers

Answer:

its d you welcome

Step-by-step explanation:

you need -6 times 2 = 12 in absolute value

Answer: 12

Step-by-step explanation:

12/-1=12.000000

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