In Exercises 1-3, graph AABC and its image after a reflection in the given line.
1. A(0, 2), B(1, -3), C(2, 4); x-axis
1.
2. A(-2,-4), B(6,2), C(3. – 5); y-axis
3. A(4, -1), B(3, 8), C(-1, 1); y = -2

Answer:

1. Point A: (0, 2)

Point B: (-1, -3)

Point C: (-2, 4)

2. Point A: (-2, 4)

Point B: (6, -2)

Point C: (3, 5)

3. Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

1.

Reflection of point A:

Reflections over the x-axis are really easy. All you have to do is change the x-coordinate to the opposite sign.

In this case, 0 does not need to change since it already lies on the x-axis.

The coordinate for A will stay the same as (0, 2).

Reflection of point B:

Again, change the x-coordinate to negative.

1 → -1

The coordinate for B will now be (-1, -3).

Reflection of point C:

2 → -2

The coordinate for C will now be (-2, -4).

2.

Reflection of point A:

Reflections over the y-axis are also really easy. This time, all you have to do is change the y-coordinate to the opposite sign.

In this case, -4 would change to just 4.

The coordinate for A will stay the same as (2, 4).

Reflection of point B:

Again, change the y-coordinate to negative.

2 → -2

The coordinate for B will now be (6, -2).

Reflection of point C:

-5 → 5

The coordinate for C will now be (-1, 5).

3.

This is going to be a bit harder than the previous two, but I know you can handle it. :)

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line.

Hope this helped!

The graph of  Exercises 1-3 that shows AABC and its image after a reflection in the given line can be done using the example from the graph attached.

A reflection over line is known to be a kind of  transformation where each point of the main or original figure (that is the pre-image) is said to be made up of an image that has similar distance from the reflection line.

Note that In a reflection, the image is said to be of similar size and also of the same shape as the original image.

Therefore to be able to construct the graph of  Exercises 1-3, one can use the image example by tracing the number values such as A(0, 2), B(1, -3), C(2, 4); x-axis, A(-2,-4), B(6,2), C(3. – 5); y-axis and  A(4, -1), B(3, 8), C(-1, 1); y = -2 on the graph and linking them up together to form an angle.

Learn more about graphing from

https://brainly.com/question/24696306

#SPJ2

If 270 students bought a cheese pizza or a pepperoni pizza, how many lunches were sold on Friday?

In the function, f(x) = 6x2 – 4 , what is the value of f(-2)?

A runner is running a 10k race. The runner completes 30% of the race in 20 minutes. If the runner continues at this pace, how long will it to finish?​

2х + Зу = 3 y = 8 – 3х​

What is the range of f(x) = -2x + 5 with domain {1, 2, 3, 4}?
O A. {3, 1, -1, -3}
O
B. {7, 9, 11, 13}
O C. {1, 2, 3, 4}
O D. {-7.-9, -11, -13}

PLZZZZZZ HELP!!!!!!!!!!!

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 15 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles. Do not include the degree symbol in your answer.

Willam has 24 cans of fruit and 60 cans of vegetables that he will put in bags for a food drive he wants each bag to be the same

Solve: 6n + 5 < 11
Wich graph shows the solution?

Which is the equation of a line that has a slope of 1/2 and passes through poúru (2,-3)?
o y = 1/2X-4
o y = 1/2 X-2
o y = 1/2 x + 2
o y= 1/2 x+3

Consider the line that passes through each pair of given points, and decide what type of slope the line has.
(2, 4) and (5, 1)
undefined slope
(3,5) and (-1,2)
negative slope
(-7, 8) and (-7,0)
positive slope
(6.-3) and (4, -3)
zero slope

help please due at 11:00 PM please help

In the diagram above, 24 = 240°.
Find the measure of Z3.
23 = [ ? 1°

A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
To answer the question, you need to write a conversion factor to convert: The correct conversion factor has the inches in the: The correct conversion factor has the feet in the: . The tortoise can walk feet per second:

i don't know the answer ​

In the figure, what is the value of X?

The area of a trapezoid is 864 cm. It has a height of 24 cm, and the length
of one of its bases is 30 cm. What is the length of the other base?

A number N divided by -9 is -16

5z-8-4z-3z+6
What is the simplified form of their expression?

A plant was 46 centimetres tall. After a month it had grown 7% taller. How tall was the plant after a month?

A study found that on average there were 566,000 tweets per hour.
Using this data, how many tweets are there per minute?
A
33, 960,000
B
13,584,000
С
18,866.6
D
9,433. 3

A train can travel 744 miles in 3 hours .what is the unit rate that this train is traveling per hour in miles

QRS = _____
By _____

70 POINTS
Select the correct answer.
Here are four decimal numbers:

0.39, 0.85, 0.731, 0.773

Choose the list that shows the numbers in order from smallest to largest.

A.
0.773, 0.39, 0.85, 0.731
B.
0.773, 0.85, 0.39, 0.731
C.
0.39, 0.731, 0.773, 0.85
D.
0.85, 0.773, 0.731, 0.39

A farmer plants 22,680 wheat plants in 126 rows. Each row contains the same number of plants. How many wheat plants are in each row?
Help me please

The box plots compare the number of students in Mr. Ishimoto’s classes and in Ms. Castillo’s classes over the last two semesters. A number line goes from 22 to 42. Mrs. Ishimoto's class's whiskers range from 28 to 40, and the box ranges from 31 to 35. A line divides the box at 33. Mr. Castillo's class's whiskers range from 24 to 38, and the box ranges from 30 to 34. A line divides the box at 31. Which statement is true about the box plots? Select three options.

An architect draws a blueprint of a house using the scale 1 inch equals 6 feet. If the kitchen measures 19 12 feet by 22 12 feet, what are the dimensions of the kitchen on the blueprint?

PLEASE HELP WILL GIVE BRAINLIEST!!! PLEASEEE NO S P A M!!!!!
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 5 hours at 950 km/h, how long would it take at 850 km/h?
I know the answer is 5.588 but why like what are the steps to solve it?

C.18 of the houses are for sale How many houses are for sale?​

the audience thinks 30% of Brandon's jokes are funny. what fraction of brandons jokes does the audience think are funny??​