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3 years ago

What is the scale factor of a dilation in which the original polygon and its dilated image are congruent ?

Mathematics

2 answers:

krek1111 [17]3 years ago

6 0

Answer:

If the original polygon and its dilated image are congruent then they have the same number of sides, and all corresponding sides and interior angles are congruent. That is, the corresponding sides and angles have the same measure. This means that the scale factor of a dilation is equal to one.

Alekssandra [29.7K]3 years ago

4 0

The scale factor of a dilation in which the original polygon and its dilated image are congruent is 1.0. If the scale factor is greater than 1, the image is in enlargement. I hope my answer has come to your help. God bless and have a nice day ahead!

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Polygon ABCD has vertices A(1,3) , B(1,6) , C(4,6) , and D(5,2) .

Bond [772]

Answer:

check below for explanation.

explanation:

➢ Given coordinates:

A( 1, 3 )
B( 1, 6 )
C( 4, 6 )
D( 5, 2 )

➢ after a dilation with a scale factor of 1/2:

A( 1, 3 ) ÷ 2 ☛ A'(0.5,1.5)
B(1, 6 ) ÷ 2 ☛ B'(0.5, 3)
C( 4, 6) ÷ 2 ☛ C'( 2, 3 )
D( 5, 2) ÷ 2 ☛ D'( 2.5, 1)

➢ Plot the after dilation coordinates on the graph:

check the image below:

5 0

2 years ago

Is 0.062 equal to .062

Alona [7]

yes. The zero to the left of the decimal point does not affect the overall value of the problem when removed, since it is zero.

4 0

3 years ago

Read 2 more answers

Represent the electricity bill using a linear equation in 2 variables with respect to fixed charge and unit consumption in the m

ruslelena [56]

Answer:

Step-by-step explanation:

If the kilowatt-hours stay proportional to the total bill, then you are using more electricity. If the bill goes up a lot more than the kilowatt-hours, then you are on some sort of "rate plan" that punishes peak usage

6 0

3 years ago

Sunny_sXe [5.5K]

The solutions of the equations are -1.3 and -7.7

Step-by-step explanation:

The quadratic formula of solving the quadratic equation

ax² + bx + c = 0, where a, b and c are constant is:

$x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}$

To solve the quadratic equation by using the quadratic formula

1. Find the values of a , b and c from the equation

2. Substitute the values of a , b and c in the quadratic formula

3. Find the two values of x

∵ x² + 9x + 10 = 0

∴ a = 1 , b = 9 and c = 10

∵ $x=\frac{-9+\sqrt{(9)^{2}-4(1)(10)}}{2(1)}$

∴ $x=\frac{-9+\sqrt{81-40}}{2}$

∴ $x=\frac{-9+\sqrt{41}}{2}$

∴ x = -1.3

∵ $x=\frac{-9-\sqrt{(9)^{2}-4(1)(10)}}{2(1)}$

∴ $x=\frac{-9-\sqrt{81-40}}{2}$

∴ $x=\frac{-9-\sqrt{41}}{2}$

∴ x = -7.7

The solutions of the equations are -1.3 and -7.7

Learn more:

You can learn more about quadratic equation in brainly.com/question/8196933

#LearnwithBrainly

6 0

3 years ago

4b+13/2 equivalent expressions

k0ka [10]

The equivalent expression of 4b+13/2 is (8b+13)/2.

Given an expression be 4b+13/2.

We are required to find the equivalent of the expression 4b+13/2.

Expression is combination of numbers, symbols, fractions, coefficients, determinants, indeterminants. In an expression we do not find any equal to sign. It shows some relationship. In this expression b is the only variable that exists. If we have been given some value of th expression at some point then we can get the value of variable.

The expression is 4b+13/2.

Taking LCM first.

The LCM of any two numbers is basically the value that is evenly divisible by the two given numbers.

=(8b+13)/2

Hence the equivalent expression of 4b+13/2 is (8b+13)/2.

Learn more about expressions at brainly.com/question/723406

#SPJ1

5 0

2 years ago