Figure ABCD is transformed to obtain figure A′B′C′D′:

Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)

Part B: Are the two figures congruent? Explain your answer. (4 points)

Figure ABCD Is Transformed To Obtain Figure ABCD:Part A: Write The Sequence Of Transformations That Changes

Answers

Answer 1

Step-by-step explanation:

part A:

ABCD is transformed to obtain figure A′B′C′D′:

1) by reflection over x-axis, obtain the image :

A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)

2) by translation T (7 0), obtain the image :

A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)

part B:

the two figures are congruent.

the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)


Related Questions

find the equation of the straight line graph y= mx-6

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find the slope (m) :

[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \dfrac{0 - ( - 6)}{12 - 0} [/tex]

[tex] \dfrac{6}{12} [/tex]

[tex] \dfrac{1}{2} [/tex]

y - intercept (c) = -6

so, the equation of line will be :

[tex]y = \dfrac{x}{2} - 6[/tex]

ху
4 32
5 40
756
972
ОА. В
ОВ. 4
Ос. 32
OD. 8

Answers

Answer:

8

Step-by-step explanation:

mark me as brainliest ppls :)

Montrer que le carré d un nombre pairest un nombre pair

Answers

Answer:

soit n un nombre entier quelconque; 2n sera pair et 2n+1 sera impair.

1) (2n)² = 4n² = 2 * 2n²

2) (2n+1)² = 4n² + 4n + 1 = 2*(2n² + 2n) + 1

3) 2n + 2m = 2*(n+m)

la somme de 2 nombres pairs est paire

(2n + 1) + (2m + 1) = 2n + 2m + 2 = 2 *(n + m + 1)

la somme de 2 nombres impairs est paire

Step-by-step explanation:

Help?
Thanks guys!
Its math stufff, I also kinda need an explanation.

Answers

Answer:

Step-by-step explanation:

Aooalalslslslslpapwlqllslwlsposlskskskwkwjsjsjisisisw

Length from a to b is 6
Length from c to d is 2
Ratio is 6:2
Simplify by dividing both by 2
Ratio is 3:1

Length from e to f is 1
Length from a to g is 6+4+2+5+1+7
After addition, length from a to g is 25
Ratio is 1:25

what is 12,345 mm into km with work?

Answers

Answer:0.012345

Step-by-step explanation: km=mm/1000000 so 12345/1000000=0.012345mm

Fatmagul neushe mode

explain 7.32×3.95=
....​

Answers

Answer:

28.914

Step-by-step explanation:

Which of the following expression could be used to calculate the perimeter of the following circle?

Answers

The expression that could be used to calculate the perimeter of the following circle is 2π(5)

Perimeter of a circle

The perimeter is also known as the circumference of a circle. The formula for calculating the perimeter of a circle is expressed as;
C =2πr

where

r is the radius of the circle

Determine the radius

r = 10/2

r = 5cm

Substitute

C = 2π(5)

Hence the expression that could be used to calculate the perimeter of the following circle is 2π(5)

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What are the solutions to the following system of equations:
2x+y=9
3x - y = 16

Answers

2x+y=9
3x-y=16
————-
5x=25
x=5
————
10+y=9
y=-1

coordinates: (5,-1)

2X+y=9
3X-y=16
>>>>5X=25
X=5

Hope it helps you!?

Anyone know please answer

Answers

Answer:

[tex]f( - 9) = - 3 |( - 9) + 5| = - 3 | - 4| \\ = - 3 \times 4 = - 12[/tex]

The price was
The price of a watch was increased
by 20%
to £196
what was the price before
the
Increase

Answers

Answer: $165

Step-by-step explanation: Divide the new price by 1, + the percent of increase. 198 / 1.20 = 165

MARK AS BRAINLIEST PLEASE! ;D

Please help meh i dont know the answer

Answers

Answer:

To the second one:

Step-by-step explanation:7x-11>=-74

Add 11 on both sides

7x>=-63

You divided by a positive, the sign does not change, However when you multiply or divide by a Negative, It does.

x>=-9

This is greater than or equal to, the hole would be closed and pointing right

The answer would be B.

What is the slope of the line that passes through the points (0,7) and (8, 7)? In simplest form?

Answers

plug the points into y2-y1/x2-x1:

[tex] \frac{7 - 7}{8 - 0} [/tex]

Now do the subtraction on both the bottom and top:

[tex] \frac{7 - 7 }{8 - 0} = \frac{0}{8} [/tex]

0 divided by a number will equal 0, so the slope is 0.

HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given statement can be represented as :

2b³ - b

where, the number is assumed to be " b "

therefore, the correct choice is B. 2b³ - b

Write an equation of the line that passes through each pair of points.
(-3,9), (-3,-5)
** Will mark brainliest, please show work!**

Answers

Answer:

y = 0x - 5 or just y = -5

Step-by-step explanation:

use the slope intercept equation

y2 - y1

x2 - x1

- 5 - 9 = 14

-3 + 3 = 0

14 / 0 = 0

so the slope is undefined

take one of the points (let's use -3, -5) and plug that in the slope intercept form (y = mx+b)

so -5 = 0(-3)+b

0 • 3 = 0 so the b (or y intercept) equals -5

so the equation is y = -5

learn and answer please!


The solidifying agent used most successfully in bacterial nutrient media is?

Select one or more:

a. Agar

b. Gel agrose

c. Peptone

O d. Gelatin​

Answers

Answer:

The most successful is Peptone (C)

A basket contains dog toys and dog bones. If six-eights of the items in the basket are dog bones, what is the percent of dog toys in the basket?​

Answers

Answer:

[tex]\dfrac{2}{8}=25\%[/tex]

Answer: 2/8 (1/4 simplified.) 0.25(decimal form)

Step-by-step explanation:

If 6/8 are dog bones, then we subtract 8/8-6/8. We get 2/8. If the fraction needs to be simplified, then we get 1/4. If a decimal is needed, then we divide 2 by 8. We get 0.25.

 

The blue dot is at what value on the number line?
H
?
6
4

Answers

Answer:

my answer is 8

because 4 6 8

Multiply: (5m³+ 2x – 1) – (7 – 6m³ + 4x)

Answers

the answer is 5m^3 - 2x - 8 + 6m^3

2. Writing a set in Roster Method means you list the elements of sets inside the braces separated by commas; while writing the set using Set Builder Notation means writing the wet in words or description inside the braces. Examples are shown below: Given: Set A is a set of vowels The elements are a, e, i, o, u Roster Method A= {a, e, i, o, u Set Builder Notation A = {x / x is a vowels So, write the following sets in Roster Method and Set Builder Notation. a. Bis a set of days in the week that starts with letter S Roster Method Set Builder Notation: b. Cis a set of letters in the word PHILIPPINES Roster Method​

Answers

The sets can either be presented in set builder form or roaster form. The

given sets presented in the required form are;

a. The set B is the set of days in the week that starts with letter S

Therefore;

The elements of B are; Saturday, Sunday

In roster method, we have; B = {Saturday, Sunday}

In set builder notation, we have; B = {x | x is a days in the week that starts with letter S}

b. C is the set of letters in PHILIPPINES

In roster form, we have; C = {P, H, I, L, I, P, P, I, N, E, S}

In set builder notation, we have; C = {Letters in the word PHILLIPINES}

Learn more here:

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jacob earns extra cash for mowing neighbors lawns. On Saturday, he earned $70 for mowing 4 yards. On Sunday, he earned $35 for mowing 2 yards. Determine the rate of change of the data, what does jacob earn for each yard he mows?

A. 35/4
B. 70/1
C. 35/2
D.70/2

Answers

Answer:

c: 35/2

Step-by-step explanation:

70/4 = 35/2

35/2 is the simplest answer and how much Jacob earns for each yard he mows.

Target is having a sale on desks. They are regularly priced at $500. It is on sale for 60% off. What is the SALE PRICE of the tree? *

Answers

Answer:

$200

Step-by-step explanation:

first you find the percentage of the money

so 60% of $500

second add/subtract the answer you get to/from the amount given

in this case subtract the answer you get from 500 and thats it there's your answer.

Identify the vertex, focus, and directrix of the parabola with equation
x + y^2 + 4y - 1 = 0. (Hint: Complete the square to find the vertex form
of the equation.)

Answers

Answer:

Is y

[tex]y = \sqrt{ - } 5 \times + 1[/tex]

Answer:

Hello,

Here is your answer.

Vertex: (5, -2)

Focus: (19/4, -2)

Directrix: x = 21/4

Step-by-step explanation:

Decide if the following statement is valid or invalid. If two sides of a triangle are congruent then the triangle is isosceles. In ABC AB=BC so ABC is isosceles. Show work if you can

Answers

Answer:

Step-by-step explanation:

Properties of an Isosceles Triangle

(Most of this can be found in Chapter 1 of B&B.)

Definition: A triangle is isosceles if two if its sides are equal.

We want to prove the following properties of isosceles triangles.

Theorem: Let ABC be an isosceles triangle with AB = AC.  Let M denote the midpoint of BC (i.e., M is the point on BC for which MB = MC).  Then

a)      Triangle ABM is congruent to triangle ACM.

b)      Angle ABC = Angle ACB (base angles are equal)

c)      Angle AMB = Angle AMC = right angle.

d)      Angle BAM = angle CAM

Corollary: Consequently, from these facts and the definitions:

Ray AM is the angle bisector of angle BAC.

Line AM is the altitude of triangle ABC through A.

Line AM is the perpendicular bisector of B

Segment AM is the median of triangle ABC through A.

Proof #1 of Theorem (after B&B)

Let the angle bisector of BAC intersect segment BC at point D.  

Since ray AD is the angle bisector, angle BAD = angle CAD.  

The segment AD = AD = itself.

Also, AB = AC since the triangle is isosceles.

Thus, triangle BAD is congruent to CAD by SAS (side-angle-side).

This means that triangle BAD = triangle CAD, and corresponding sides and angles are equal, namely:

DB = DC,

angle ABD = angle ACD,

angle ADB = angle ADC.

(Proof of a).  Since DB = DC, this means D = M by definition of the midpoint.  Thus triangle ABM = triangle ACM.

(Proof of b) Since angle ABD = angle ABC (same angle) and also angle ACD = angle ACB, this implies angle ABC = angle ACB.

(Proof of c) From congruence of triangles, angle AMB = angle AMC.  But by addition of angles, angle AMB + angle AMC = straight angle = 180 degrees.  Thus 2 angle AMB = straight angle and angle AMB = right angle.

(Proof of d) Since D = M, the congruence angle BAM = angle CAM follows from the definition of D.  (These are also corresponding angles in congruent triangles ABM and ACM.)

QED*

*Note:  There is one point of this proof that needs a more careful “protractor axiom”.  When we constructed the angle bisector of BAC, we assumed that this ray intersects segment BC.  This can’t be quite deduced from the B&B form of the axioms.  One of the axioms needs a little strengthening.

The other statements are immediate consequence of these relations and the definitions of angle bisector, altitude, perpendicular bisector, and median.  (Look them up!)

Definition:  We will call the special line AM the line of symmetry of the isosceles triangle.  Thus we can construct AM as the line through A and the midpoint, or the angle bisector, or altitude or perpendicular bisector of BC. Shortly we will give a general definition of line of symmetry that applies to many kinds of figure.

Proof #2 (This is a slick use of SAS, not presented Monday.  We may discuss in class Wednesday.)

The hypothesis of the theorem is that AB = AC.  Also, AC = AB (!) and angle BAC = angle CAB (same angle).  Thus triangle BAC is congruent to triangle BAC by SAS.

The corresponding angles and sides are equal, so the base angle ABC = angle ACB.

Let M be the midpoint of BC.  By definition of midpoint, MB = MC. Also the equality of base angles gives angle ABM = angle ABC = angle ACB = angle ACM.  Since we already are given BA = CA, this means that triangle ABM = triangle ACM by SAS.

From these congruent triangles then we conclude as before:

Angle BAM = angle CAM (so ray AM is the bisector of angle BAC)

Angle AMB = angle AMC = right angle (so line MA is the perpendicular bisector of  BC and also the altitude of ABC through A)

QED

Faulty Proof #3.  Can you find the hole in this proof?)

In triangle ABC, AB = AC.  Let M be the midpoint and MA be the perpendicular bisector of BC.

Then angle BMA = angle CMA = right angle, since MA is perpendicular bisector.  

MB = MC by definition of midpoint. (M is midpoint since MA is perpendicular bisector.)

AM = AM (self).

So triangle AMB = triangle AMC by SAS.

Then the other equal angles ABC = ACB and angle BAM = angle CAM follow from corresponding parts of congruent triangles.  And the rest is as before.

QED??

Yes, This statement is valid.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The two sides of a triangle are congruent.

Then, In ΔABC;

⇒ AB ≅ BC

So, ΔABC is isosceles.

Now,

Since, The two sides of a triangle are congruent.

We know that;

In a triangle if two sides are equal then it is an Isosceles triangle.

So, The given statement '' ΔABC is isosceles'' is valid.

Learn more about the triangle visit;

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If f(x) = 2x³ = x² + 3x + 10 and g(x) = x³ + 3x² + 2x + 4, determine when f(x) > g(x).

Answers

Hope this helps, if not sorry.

State the range in proper interval notation

Answers

Answer:

the range in interval notation is (-4, 4).

Step-by-step explanation:

"Range" refers to the set of numbers that contains all possible values of y that a given function can take on.  In this diagram we see that the smallest possible y-value is -4 and the largest is +4, not inclusive (the set does not contain either -4 or +4).  Thus, the range in interval notation is (-4, 4).

Divide and Simplify completely, show your work: I want to see the problem rewritten
as a multiplication problem then solve as you wish and just put in the answer. 2
points for the problem written as a multiplication problem then 2 pts for correct
answer.
3/4 divided by 5/6=

Answers

Answer:

The answer is 9/10.

Step-by-step explanation:

Step 1: 3/4/5/6. This means, 3/4 is being divided by 5/6 and so you write it in that form. Take this for an example. 2/4 divided by 3 is 2/4/3.

Step 2: 3/4 ÷ 5/6. This is because, we want the question to be easy to simplify. Also, we want to write the division question as a multiplication problem. And this sign ( / ) means to divide.

Step 3: 3/4 × 6/5. This is because in Maths, when a fraction is dividing another fraction, that fraction is reciprocated ( the fraction at the right side.) Reciprocated here means the denominator is made the numerator and the numerator is made the denominator.

Step 4: 3/2 × 3/5. How? We cancelled out. 2 goes into 4 twice and into 6 thrice.

Step 5: 9/10. We multiplied 3/2 × 3/5 to get 9/10.

Which one is bigger?
|-4| □ |-6|​

Answers

Answer:

hello

Step-by-step explanation:

there is my answer

hope it helps

Help plz stick on this question

Answers

Answer:

126

Step-by-step explanation:

126

They are alternate exterior angles which makes them corresponding !

Any Help On This Would Make Me So Grateful !

Answers

Answer:

Any Help On This Would Make Me So Grateful

What is the solution of 5/2x - 7 = 3/4x+14, A.x=-6 B.x=6 C.x=8 D.x=12​

Answers

Answer:

D. x = 12

Step-by-step explanation:

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