Hi I need help with this homework so I can get a good grade on the test

What is not preserved under dilation? Select all that apply.

marusya05 [52]

Answer:

Hence, option D is correct (i.e. Distance is not preserved under dilation).

Step-by-step explanation:

<em>" A dilation is a transformation that produces an image that is the same shape as the original, but is a different size ".</em>

A) Angle measure:

Angle measures remains same as there is only a difference in their size the shape does not changes.

Hence angle measure is preserved.

B) Betweenness:

It is also preserved. since if any point in before dilation is between two points than after dilation it remain between them only.

C) Collinearity:

Points remain on the same line.

Hence, it is preserved.

D) Distance:

The distance is not preserved. since the length of the segment increase or decrease in dilation hence distance between two point also increase or decrease.

E) Proportionality:

In a dilation, the sides of the pre-image and the corresponding sides of the image are proportional. Hence it is also preserved.

3 0

3 years ago

Use the zero product property to find the solutions to the equation 2x2 + x-1 = 2

algol [13]

Answer:

see explanation

Step-by-step explanation:

Given

2x² + x - 1 = 2 ( subtract 2 from both sides )

2x² + x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 3 = - 6 and sum = + 1

The factors are - 2 and + 3

Use these factors to split the x- term

2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(2x + 3) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - $\frac{3}{2}$

3 0

3 years ago

Read 2 more answers

The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next

LenaWriter [7]

Answer:

D) 3768 inches

Step-by-step explanation:

Given,

No. of plates = 100

Diameter of each plate = 12inches

So, radius of each plate = 12 / 2 = 6 inches

So, circumference of each plate

$= 2\pi \: r$

= 2 × 3.14 × 6 inches

= 37.68 inches

Hence, circumference of 100 plates = 100 × 37.68 inches

= 3768 inches

Hence, <u>3768 inches</u> of gold trim is required (Ans)

4 0

3 years ago

If an angle is acute, then the measure of its complement must be greater than the measure of its

salantis [7]

Answer: acute angles are higher that 0° and smaller than 90°

Step-by-step explanation: obtuse are between 90° and 180°

5 0

3 years ago

Rewrite sin^4xtan^2x in terms of the first power of the cosine

Vikki [24]

$\sin ^4 x \tan ^2 x = \dfrac{\sin ^4 x\ \sin ^2 x }{\cos ^2 x} = \dfrac{\sin^6 x}{\cos ^2 x} = \dfrac{(\sin ^2 x)^3}{\cos^2 x}=\dfrac{(1-\cos^2 x)^3}{\cos^2 x}$

7 0

3 years ago