If quadrilateral A’B’C’D’ = DK (ABCD), which of the following statements are true?
Select all that apply. (Hint: Draw a picture)

The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.

The quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1.

The corresponding side lengths are related by AB = k(A'B')

The corresponding side lengths are related by k(CB) = C'B'.

Answers

Answer 1

Answer:

The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.

The corresponding side lengths are related by k(CB) = C'B'.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in size of a figure by a factor k. If k > 1, the figure is increased, if k < 1, the figure is reduced and if k = 1, the figure does not changes shape. The image of an dilated figure is similar to the original image.

a) If k = 1, then the resulting image produced by dilating ABCD is congruent. Hence, The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.

b) Dilation produce image similar to the original figure, hence quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1 and k < 1.

c) Since ABCD is dilated by a factor of k to produce A'B'C'D', hence A'B' = k(AB).

d) C'B' = k(CB)

Related Questions

Imagine Quan is going to buy a $50,000 car, but he must first make a 20% down payment
before he can get a car loan. Which of the following amounts will Quan need to pay up front
before he gets the loan?

Answers

Answer:

percentages

Step-by-step explanation:

20% of 50000

20/100 *50000

20 * 500

$10,000

The function f(x) = x² +9 and the other function P is given by P(x) = f(x) - 34 ÷x + 5 find P (5 )

Answers

Answer:

32.2

Step-by-step explanation:

Given :

f(x) = x² +9

P(x) = f(x) - 34 ÷ x + 5

P(5) =?

Substitute 5 for X on P(x)

P(5) = f(5) - 34 ÷ x + 5

f(5) = 5² + 9 = 25 + 9 = 34

P(5) = 34 - 34 ÷ 5 + 5

According to PEMDAS

-34 ÷ 5 = - 6.8

P(5) = 34 - 6.8 + 5

P(5) = 34 - 1.8

P(5) = 32.2

X2-8x+15=(ax+b)(cx+d)

Answers

Answer:

(x-5) (x-3)

Step-by-step explanation:

x^2-8x+15

What two numbers multiply to 15 and add to -8

-5*-3 = 15

-5+-3 = -8

(x-5) (x-3)

Answer:

Step-by-step explanation:

-5

Calculate half yearly payment required for each five year intervals

Answers

Answer:

bro im not going to download that pdf

Step-by-step explanation:

What is the relation between the variables in the equation
X^4/y=7?

a. x varies inversely as y
b. x4 varies directly as y
c. y varies directly as x4
d. y varies inversely as x4

Answers

Answer:

b. x^4 varies directly as y.

Step-by-step explanation:

x^4 = 7×y

x^4 is proportional to y.

Please help it's for my test.

The area of a parallelogram is 108 square inches. What is the length of the parallelogram if the height is 6 inches?

Answers

Answer:

18 inches

Step-by-step explanation:

just FYI this is using base and height this is not trigonometry or diagonals but whenever you want to find the area of a parallelogram you have the base times the height and so you have the formula A= B * H but here you want to find the base so we divide the area by the height since those are your givens

A/H=B

108/6=18

The measure of 2 bis 120° The measure of Z5 is 100°, What is the measure of 2 4?

A. 60
в. 80
c. 140
D. 40

Answers

The correct answer is B 80 I hope this help

How many inches are there in 3 yards?

A. 108 in.
B. 96 in.
C. 72 in.
D. 48 in.

Answers

Answer:

108

Step-by-step explanation:

3 yards equal 9 feet and 1 foot equals 12 inches so that means do 12 x 9 and you get 108

The correct option is A.

How to convert feet to yards?

Feet ÷ 3 = 1 yards. yard is 3 feet long, so all you have to do is divide the number of feet by 3 to get the number of yards for your measurement

We know that,

1 feet is equal to 12 inches.

1 feet = 12 inches.

1 yard = 36 inches.

3 yards = 36 × 3 = 108 inches.

3 yards = 108 inches.

Therefore, 108 inches are there in 3 yards.

Learn more about yard and inches here:

https://brainly.com/question/31327558

#SPJ6

A.)55
B.)38
C.)70
D.)20

Answers

Answer:

D) 20

Step-by-step explanation:

4x - 10 and x together equal 90

Set your formula up as

90 = 4x - 10 + x

90 + 10 = 4x + x

100 = 5x

100 / 5 = x

20 = x

Find the surface area of the regular pyramid

Answers

Answer:

surface are of the pyramid =(1/2×6×5.2)+(3×1/2×6×10) =15.6+90 =105.6 yd²

What is the value of 21 - 4 × ❒ = 5 ? in the equation below? (Show your work)

Answers

Answer:

Step-by-step explanation:

21 - 4 × ❒ = 5

-4x = 5 - 21

-4x = 16 (divide both sides)

x = 4

in a rectangle how many opposite sides are equal

Answers

Answer and Step-by-step explanation:

This is for your other question in case you don't see it.

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

what are the y and x intercepts?

Answers

Answer:

(18/5, 0) is the x intercept

(0,-2) is the y intercept

Step-by-step explanation:

-5x+9y = -18

Set y = 0 and solve for x to find the x intercept

-5x +0 = -18

Divide each side by -5

x = -18/-5

x = 18/5

(18/5, 0) is the x intercept

Set x = 0 and solve for y to find the y intercept

0 +9y = -18

Divide each side by 9

y = -18/9

y = -2

(0,-2) is the y intercept

Answer:

x- intercept is 18/5

y- intercept is -2

Step-by-step explanation:

See image below:)

Abby sells beauty products. She has a monthly salary of $1000. She also earns 1%
commission on the first $8000 of her sales for the month and 4% commission on
sales over $8000. What is Abby's gross income for the month if her sales were $12
500

Answers

Answer: $1260

Step-by-step explanation:

Based on the information given, Abby's gross income for the month if her sales were $12500 will be:

= $1000 + (1% × $8000) + [4% × ($12500 - $8000)]

= $1000 + (0.01 × $8000) + (0.04 × $4500)

= $1000 + $80 + $180

= $1260

Her gross income is $1260

What is the greatest prime you must consider to test whether 4295 is prime?

Answers

Answer:

Step-by-step explanation:

4295/5 = 859

4295 is divisible by the prime number 5

no need to test any higher priime

Answer for brainlest zzzz

Answers

Hope you understand it ;)

Answer:

A = 42 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 6 = 7 × 6 = 42 cm²

Find the answer to b and check if a is correct and explain plsss

Answers

Answer:

a. 105.84 cm²

b. 136 cm²

Step-by-step explanation:

a. The prism is a cube

Surface area of the cube = 6a²

a = 4.2 cm

Plug in the value

Surface area = 6*4.2²

Surface area = 105.84 cm²

b. The prism is a triangular prism

Surface area of triangular prism = bh + L(s1 + s2 + s3)

b = 6 ft

h = 4 ft

L = 7 ft

s1 = 5 ft

s2 = 5 ft

s3 = 6 ft

Surface area = 6*4 + 7(5 + 5 + 6)

Surface area = 24 +7(16)

Surface area = 24 + 112

Surface area = 136 cm²

If x-12y=-210and x-6y=90 then x =

Answers

Answer:

Step-by-step explanation:

−

210

−

210

−

PLEASE HELP ITS TIMED!! Which function is represented by the graph?

A)f(x) = -|x - 3l+ 4
B)f(x) = -lx + 3l+ 4
C)f(x) = -lx - 4l+ 3
D) f(x) = -lx + 4l+ 3

Answers

The answer is D) f(x) = -Ix+4I+3

i need help with this one plz! (marking BRAINLIST) :)

Answers

Answer: (a) = 110 degrees, (b) = 8

If I understand the picture correctly, (a) wants you to find the angle K. It first shows us that both J to K, and L to K are equal in length of 11, thus there is no deviation in angle 35 degrees with L (so they both equal each other). Therefore, the angle K will equal 180 degrees subtracted by the sum of J and L, which is 110 degrees.

For (b), it appears that all the angles have the same singular mark at the edges, so all sides will equal 8.

I hope this helped!

Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make?

Answers

Jonah should shade 6 parts of 10 equal parts to show 3/5.

Hope this helps! :)

1)Light travels at the speed of 3,00,000 km in one second ,if it has
already travelled 1,05,342 km, how much more distance is left for the
ray of light to travel?

Answers

Answer:

1,94,658km

Step-by-step explanation:

If you are talking about how much distance it has to travel in 1 second then you can simply subtract 1,05,342 from 3,00,000. This process gives total of 1,94,658km remaining for it to travel.

Goodluck

Question 22
Find the volume.

Answers

Answer:

Step-by-step explanation:

area times height dived by 3

note that the radius is 8

Answer:

D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9 m³

Step-by-step explanation:

Formula = πr²* h/3

Volume = π * 64 * 8/3

Volume = π * 512/3 = 535.89 ≈ 535.9

Answer = D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9m³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

is y=2x an inverse variation

Answers

Answer:

ha ha ha... yesno

Step-by-step wrong explanation:

becoause it is the dilemma of the miniyamma

y=2x is a direct variation. For example, doubling the value of x will double the value of y.

Therefore, it is not an inverse variation.

Help please!!! I don’t understand this question

Answers

Answer:

B) ASA - angle side angle

Hope it help

HELP PLS!!

A circle has been divided into 4 equal angles. is each angle acute, obtuse or right?

Answers

Answer:

Right

Step-by-step explanation:

360/4 = 90

90° is a right angle

Mariana baked 14 cakes. She gave 1/7 of them to her family before she took the rest to a party. How many cakes did Mariana give to her family?

Answers

Answer:

Step-by-step explanation:

14·[tex]\frac{1}{7}[/tex]=2

Answer:

Step-by-step explanation: 1/7th's of 14 is 2.

1/7 x 14 = 2.

The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.

The variable x represents the number of

Answers

Answer:

Square tables used

Step-by-step explanation:

x represents the number of square tables used since it is being multiplied times 8 which is the number of people a square table can fit

Answer:

answer in pictures

Step-by-step explanation:

A pizza is cut into 3 slices. The first piece was 2over 9 and the second one was 2 over 7. How big or small was the last piece

Answers

Answer:

2/5

Step-by-step explanation:

Decrease
M720.00 by 25%

Answers

Answer:

540

Step-by-step explanation:

720 (100-25) to find the decimal to use (below 1.00 is decreasing)

720 (.75) = 540

Other Questions

A child sits on a partially filled balloon and decreases the volume by half. What happens to the pressure inside of the balloon?It increasesIt decreasesIt stays the same which of the following is characteristic of both weathering and erosion? A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 centimeters cubed.A sphere with height h and radius r. A cylinder with height h and radius r.What is the volume of the sphere?12 centimeters cubed24 centimeters cubed36 centimeters cubed54 centimeters cubed Can someone help me please True or False: Age-adjusted mortality rate is as a ratio of deaths to number of individuals in a particular age group. O True O False identify which of the 3 freedoms guaranteed by the bill of rights are the most important to you. Explain your reasoning in 1-2 paragraphs.freedom of speech, press, or religion? PLZ HELP ME ANSWER THIS NO INCORRECT PLS THANK YOU The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approximate the population of the town 5 years from now. ________ residents (round to nearest whole number) Latoya earns 41 dollars per week working part-time at a book store. She makes one dollar more for each book that she sells. The amount, A (in dollars), that Latoya earns in a week if she sells b books is given by the following.A=41+bHow much does Latoya earn in a week if she sells 16 books? Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.XM = 11 and YM = 36.What is the area of circle M?What is the circumference of circle M?Find the length of XY .Find the measure of angle M.Find the area of triangle XYM.Find the area of the minor sector that has been created as part of triangle XYM.Find the arc length of the minor arc from point X to the point where YM intersects with the circle. In 1900, had more steel-producing countries than other continents. In the Excerpt from Minuk: Ashes in the Pathway, what type of text structure is being used throughout the text? Cite two pieces of evidence to prove your response. which answer represents the series in sigma notation 1+1/4+1/16+1/64+1/256+1/1024+1/4096 what is quasi natural what is the slope of the line that passes through (2,0) and (1,0)?? 1. Explain the social, economic, or political costs of the American Civil War. Your response shouldbe at least one paragraph and written in your own words. Use evidence from the lesson tosupport your response. Include a specific piece of evidence from the "Analyze it" portion of your lesson to supportyour explanation. Include a specific piece of evidence from the Visualize it" portion of your lesson to supportyour explanation Include a specific piece of evidence from the "Experience it portion of your lesson tosupport your explanation.2. Based on what you have learned, was the cost of the war higher for the North or the South? Besure to consider the social, political and economic effects. Explain, in a paragraph of your own words, which side paid a higher price for the war. Include at least two specific pieces of evidence from the lesson to support your response. Include information from at least two sections of the lesson (Social, Economic or Political)to support your response. write a short story on any one of the topics: 1.A village shop2. Seaside at sunset How stopwatch can measure accurate reading? Communication satellite use__sent by a transmitting station to transmit signals over long distances A microwaves B polar waves C light D radio waves Different between organic fertilizer and inorganic fertilizer