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)

Answer:

126

Step-by-step explanation:

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.

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Let's find the slope (m) :

y - intercept (c) = -6

so, the equation of line will be :

Answer:0.012345

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

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:

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.

Answer:

Step-by-step explanation:

Aooalalslslslslpapwlqllslwlsposlskskskwkwjsjsjisisisw

Answer:

my answer is 8

because 4 6 8

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The given statement can be represented as :

where, the number is assumed to be " b "

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

Answer:

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

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.

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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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

Answer:

Any Help On This Would Make Me So Grateful

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

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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Hope this helps, if not sorry.

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

Answer:

The most successful is Peptone (C)

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.

Answer:

hello

Step-by-step explanation:

there is my answer

hope it helps

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:

https://brainly.com/question/13642904

Answer:

8

Step-by-step explanation:

mark me as brainliest ppls :)

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).

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.

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.

Answer:

D. x = 12

Step-by-step explanation:

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:

Answer:

28.914

Step-by-step explanation:

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.