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ELEN [110]
3 years ago
13

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that

a dilation will produce similar figures? Explain.
Mathematics
2 answers:
worty [1.4K]3 years ago
8 0
A translation is a transformation that slides each point of a figure the same distance in the same direction. The lines connecting each point of the preimage to its image are congruent. One type of transformation that is not an isometry is called a dilation<span>.</span>
12345 [234]3 years ago
8 0

Answer:

Dilations produce similar figures because the image and pre-image will have congruent corresponding angles. The corresponding side lengths of the figures will be proportional based on the scale factor. The shape is preserved and the sides are enlarged or reduced by the scale factor.

Step-by-step explanation:

You might be interested in
A 12-inch diameter pizza has 22 calories per square inch.
kipiarov [429]

Answer:

2,486.88\ calories

Step-by-step explanation:

step 1

<u>Find the area of the pizza</u>

The area of a circle is equal to

A=\pi r^{2}

we have

r=12/2=6\ in

substitute

A=(3.14)(6^{2})=113.04\ in^{2}

step 2

we know that

A 12-inch diameter has 22 calories per square inch

By proportion

Find how many calories are in the entire pizza

so

\frac{22}{1}\frac{cal}{\ in^{2}}=\frac{x}{113.04}\frac{cal}{\ in^{2}}\\ \\x=22*113.04\\ \\x=2,486.88\ calories


7 0
3 years ago
Read 2 more answers
How do you do this anyone know how
IceJOKER [234]
Slope is rise over run, or the change in y over the change in x. So, you go up vertically then directly horizontal and whatever the change is is the slope.

For example, the first one is -1/3. It's slope is going down to the right, so it's negative . It goes down 1 (y value) and over to the right 3 (x value). Since it goes down and to the right it is a slope of -1/3.
5 0
4 years ago
3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks
german

Answer:

533.33 ft/min

Step-by-step explanation:

We are given that

x=3 feet

y=4 feet

Height of person,h=6 feet

\frac{dx}{dt}=400 ft/min

Triangle ABC and A'B'C are similar because all right triangles are similar

By using similarity property

\frac{h'}{6}=\frac{7}{4}

h'=10.5 feet

x+y=3+4=7 feet

\frac{h'}{6}=\frac{x+y}{y}

\frac{10.5}{6}=\frac{x+y}{y}

10.5y=6x+6y

10.5y-6y=6x

4.5y=6x

Differentiate w.r.t t

4.5\frac{dy}{dt}=6\frac{dx}{dt}

\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min

\frac{dy}{dt}=533.33ft/min

Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min

7 0
3 years ago
Which of the following best describes a simple random sample?
Mice21 [21]
The answer is A hope this helps
3 0
3 years ago
Ea+ec=5.40, ec*2=s,ea/2=s<br><br> What is Ec?
alexandr402 [8]
I have no idea I am only in  Middle School

3 0
3 years ago
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