Mathematics High School

This diagram shows a pre-image △ABC, and its image, △A′′B′′C′′, after a series of transformations. Select from the drop-down menus to correctly complete the statements. △ABC is Choose... to become △A′B′C′. Then △A′B′C′ is Choose... to become △A′′B′′C′′ . Because the transformations are Choose... , the pre-image and image are Choose... . Triangles on a coordinate plane whose axes are labeled x and y. Triangle A B C has vertex A at 1 comma negative 1, vertex B at 4 comma negative 2, and vertex C at 7 comma 2. Triangle A prime B prime C prime has vertex A prime at negative 1 comma 1, vertex B prime at negative 4 comma 2, and vertex C prime at negative 7 comma negative 2. Triangle A double prime B double prime and C double prime has vertex A double prime at negative 1 comma negative 2, vertex B double prime at negative 4 comma negative 1, and vertex C double prime at negative 7 comma negative 5.

Answers

Answer 1

The answers that complete the statements of the series of transformations are;

- △ABC to △A′B′C′; because the △ABC has been rotated at angle of 180° about the origin.

- △A′B′C′ to △A′′B′′C′′; Because the △A′B′C′ has been shifted down by 3 units.

- All 3 transformations are rigid transformations

- All three transformations are congruent transformations.

The image showing triangles △ABC, △A′′B′′C′′, and △A′B′C′ is missing and so I have attached it.

From the image attached, we see the following coordinates of the triangles;

Coordinates of △ABC; A(1, -1), B(4, -2), C(7, 2)

Coordinates of △A′B′C′; A'(-1, 1), B'(-4, 2), C'(-7, -2)

Coordinates of △A′′B′′C′′; A''(-1. -2), B''(-4, -1), C''(-7, -5)

Now, in transformation from △ABC to △A′B′C′, we see that the pattern of transformation is; (x, y) → (−x ,−y). This pattern where coordinates of x and y are transformed to the negative part of them denotes that there has been a rotation at angle of 180° about the origin.

In transformation from △A′B′C′ to △A′′B′′C′′, we see that triangle shifted down because the y-coordinates have reduced by 3 units. Thus, we can say that the transformation was to shift △A′B′C′ down by 3 units.

In each of the transformations, we can tell that regardless of the position of the triangle, the distances AB, BC and AC remain the same. Thus, the transformation is rigid. The transformations are also congruent because all their corresponding sides are equal.

Read more at; https://brainly.com/question/11254677

This Diagram Shows A Pre-image ABC, And Its Image, ABC, After A Series Of Transformations. Select From

Related Questions

Please help me if you get the answer correct you become BRAINLIEST. It takes Diego 124 of an hour to complete a lap on a circular bike track. The track is 13 mile long. What is Diegoâ€™s bike speed?

Answers

Answer:

speed = distance × time

speed= 13 × 0.48

speed = 6.24 m/s

You roll a number cube . Find the probability of P(7)

Answers

Answer:

Step-by-step explanation:

there are 6 sides on a number cube that are 1 2 3 4 5 6 there are no 7s so the probability is 0

Two angles form a linear pair. The measure of one angle is 3.5 times the measure of the other angle. Find the measure of each angle.

Smallest angle:
$\degree$

Largest angle:
$\degree$

Answers

Answer:

¯¯¯¯¯¯¯¯¯¯¯¯

571428

…

angles per times

Step-by-step explanation:

Answer:

40° and 140°

Step-by-step explanation:

let one angle be x then the other is 3.5x

A linear pair sum to 180° , then

x + 3.5x = 180

4.5x = 180 ( divide both sides by 4.5 )

x = 40 and 3.5x = 3.5 × 40 = 140

The angles are 40° and 140°

triangle sum theorem and exterior angle theorem stuff need help pls this due by friday and 1st quarter about to end

Answers

Answer:

See below

Step-by-step explanation:

The Triangle Angle Sum Theorem states that the interior angles of a triangle always add up to 180°. The Exterior Angle Theorem states that an exterior angle of a triangle is equal to the sum of the two remote interior angles (see diagram).

Figure B is a scaled copy of Figure A

What is the scale factor from Figure A to Figure B?

Answers

Answer:

[tex]1/2[/tex]

Step-by-step explanation:

Because they are scaled copies, the ratios of the sides are equal.

Figure A has a base of 6 units by inspection.

Figure B has a base 3 units by inspection.

So, the scale factor from Figure A to Figure B is [tex]3/6=\boxed{1/2}[/tex] and we're done!

The scale factor from Figure A to Figure B is 1/2

What is the scale factor from Figure A to Figure B?

Figure A:

Base = 6 units

Height = 4 units

Figure B:

Base = 3 units

Heights = 2 units

Using Base of the shape:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

= 3 units / 6 units

= 1/2

Using Height of the shape:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

= 2 units / 4 units

= 1/2

Hence, 1/2 is the scale factor from Figure A to Figure B.

Answers

Answer

For picture 1 it's 13/20

and 2nd is 25/12 or 2 1/12

picture 3 it's 55/28 or 1 27/28

picture 4 it's 11/12

picture 5 it's 1/2 hour , 1 hour 1 1/2 hour

Step-by-step explanation:

your answers are correct.

graph the linear function. g(x)=2/5x-3

Answers

The answer is in the photo below

QUICK QUESTION: did I do this right?

Answers

It it fully correct
Hope you have a good day!
Can ai get brainliest?

Another surface area question:

The Diameter: 11in

the height: 15in

Answers

Answer:

Step-by-step explanation:

It is 165 because I did 11x15 (not sure this is right)

please help me!
x-7>10

x>__?

Answers

Answer:

[tex]x>17[/tex]

Step-by-step explanation:

We can treat an inequality just the same as an equality in terms of manipulation!(This doesn't hold for multiplying or dividing by negative numbers, but it holds for all addition).

So, we can add [tex]7[/tex] to both sides of the inequality to get [tex]x-7+7>10+7[/tex].

We can simplify [tex]-7+7[/tex] into [tex]0[/tex], and [tex]10+7[/tex] into [tex]17[/tex].

So, the answer is [tex]\boxed{x>17}[/tex] and we're done!

A contractor is creating a playground that has an area of 336 square meters. What is the approximate length of the side of the playground (round answer to the nearest meter). Is the playground a square? Explain.

Answers

Answer:

18m

Step-by-step explanation:

336*2 = area

area of square = base x height (both base and height have to be equal lengths)

sqrt. 336 = 18.33m = 1 side

In the year 2015 Emily was three times as old asKaitlin. By the year 2021 Kaitlin will be half asold as Emily will be. How old was Emily on theyear 2000?

Answers

In 2000 Emily was 9 years old.

Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:

2015 = E = 3K 2021 = E = 2K 24 /// 8 --- 30 /// 14 18 /// 6 --- 24 /// 12 18/6 = 3 24/12 = 2 2015 = Emily was 24 years old 24 - (2015 - 2000) = X 24 - 15 = X 9 = X

Therefore, in 2000 Emily was 9 years old.

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In mrs. Wilson’s math class, the ratio of girls to boys is 5 to 8. If there are 24 total students, how many boys are in the class

Answers

i got 9.3027… rounded to 9 in this case? i hope this helps…

< 1 and < 2 are supplementary angles . the m <2 =142, what is the m<1

Answers

They are additive > They add up to 180 Angle 1 + Angle 2 = 180 Angle 1 + 142 = 180 Angle 1=38

5 ( c+ 2) = -20

12a + 5 - 8a = -1

m - 3 - 6m = -27

please solve

Answers

c = -6

a = -3/2

m = -24/5

Step-by-step explanation:

5(c + 2) = -20

5c + 10 = -20

5c = -20 - 10

5c = -30

c = -6

12a + 5 - 8a = -1

4a + 5 = -1

4a = -1 - 5

4a = -6

a = (-6)/4

a = -3/2

m - 3 - 6m = -27

-5m - 3 = -27 → (times -1)

5m + 3 = 27

5m = 27 - 3

5m = 24

m = 24/5

What is the division of 6/11? Like how do you solve it with the work.

Answers

Answer

0.5454...

Step-by-step explanation:

0.5454

11⟌60000

- 0

- 55

- 44

- 55

- 44

Help me answer this fast please!

Answers

Answer:

y=x+2

Step-by-step explanation:

PLEASE HELP ASAPPP!!!!!

Answers

For part 1.

1 goes with A
2 goes with D
3 goes with E
4 goes with C
5 goes with F

For the second part I’m honestly not sure how to do it.

Write an equation of the line that passes through the point (4, –5) with slope 2.
A. y−4=−2(x+5)
B. y+5=2(x−4)
C. y−4=2(x+5)
D. y+5=−2(x−4)

Answers

Answer:

The correct choice is option B. y + 5 = 2(x−4)

Step-by-step explanation:

slope = 2

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

-8 -8

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

-13 = b

y = 2x - 13, in other words --> y + 5 = 2(x−4)

So, y + 5 = 2(x − 4) is the equation of the line that passes through (4, -5).

Which statement about this equation is true?
2x + 4 = 2(x + 2)

Answers

Answer:

number 3 is right

Step-by-step explanation:

this equation has infinitely many solutions

Graph a line that contains the point (-6,1) and has a slope of 5.

Answers

Answer:

Link: https://www.numerade.com/ask/question/graph-a-line-that-contains-the-point-61-and-has-a-slope-of-5-05016/

Step-by-step explanation:

Answer: find -6 on x or y axes then 1 on x or y axes then diagonal by five and count each spot.

Step-by-step explanation:find the -6 on what the question asked -6 x or y axes then 1 should be on the opposite axes then go diagonal by five and count each spot.

SOMEONE HELP ASAP!!! PLAeASE

Answers

Answer:

55 MPH

Step-by-step explanation:

55 x 2.4 = 132

33 x 4 = 132

Solve x please!!!!!!!

Answers

Answer:

X=7

Step-by-step explanation:

These are supplementary angles. So they measure to 180º. 180º-95º=85º. 85º-10= 84º. 84º÷12x= 7.

Answer:

12x+1°+95°=180° (int angles)

12x+96°=180°

12x=180°-96°

=84°

x=84÷12

Mrs.Roberts drives 3/4 miles in 1/2 minute. How many miles can she drive in 1 minute?

Answers

Answer:

1 1/2 OR 1.5 in decimal form

Step-by-step explanation:

If Mrs. Roberts drives 3/4 miles in half a minute, 1/2 x what = 1? 2. Multiply both items by 2. 3/4 x 2 = 6/4, also known as 1 1/2 or 1.5 Hope this helped!!

WILL MARK BRAINLIEST!
simplify 4b²−2b+7b−6b+1

Answers

Answer:

=4b^2−b+1

Step-by-step explanation:

4b2+−2b+7b+−6b+1

4b2+−2b+7b+−6b+1=(4b2)+(−2b+7b+−6b)+(1)

=4b^2−b+1

given:

4b²−2b+7b−6b+1

solution:

first combine light terms.

[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]

light terms equal:

[tex] - 2b + 7b - 6b[/tex]

let's solve:

[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]

[tex] = { 4b}^{2} - b + 1[/tex]

The area of a rectangle is 2 square meters. The width of the rectangle is 1/8 meter.
What is the length of the rectangle?
A. 1/16 meter
B. 2 1/8 meters
C. 4 meters
D. 16 meters

Answers

Answer:

Step-by-step explanation:

1/8x1/8=1/16

2÷1/16=32

32÷2=16

D. 16
2 divided by 1/8 = 16

Classify the following triangle. Check all that apply

Answers

Answer:

A. Acute and B. Equilateral

Step-by-step explanation:

Which graph represents the solution to this system of inequalities?
y<-x-3
y> 2x-4
(Please set graph in 10x10 scale)!!(:

Answers

Answer:

Heres your answer graphed

Step-by-step explanation:

List the characteristics of a proportinonal relationship

Answers

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

The two requirements for a proportional relationship are: The ratio of the two variables maintain the same ratio.

guys pls help me!!!!!!!

Answers

Answer:

The answer is t = 17

Step-by-step explanation:

Sum of angles on a straight line = 180⁰

(2t -7) + 90 + 49= 180

(2t -7) +139 = 180⁰

2t -7) = 180 - 139

2t - 7 = 41

2t = 41 - 7

2t = 34

Divide both sides by 2

t = 17

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