All categories

3 years ago

Which composition of transformations will create a pair of similar

Mathematics

1 answer:

Romashka [77]3 years ago

8 0

Answer:

A rotation, then a dilation

Step-by-step explanation:

When two triangles are congruent, the three sides and angles will be the same.

A dilation is a type of transformation that works with scale factors and enlarges or reduces a figure, to create a new figure.

Now, the composition of transformations that will create a pair of similar but not congruent triangles are - a rotation, then a dilation.

You might be interested in

Please help, seriously confused

Rufina [12.5K]

Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = $\frac{2}{3} *2x= \frac{4}{3}x$

3.She doubled the width...
height = 2x
width = $2*\frac{4}{3}x = \frac{8}{3}x$

height * width = area

$2x * \frac{8}{3}x=139 \ 968 \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}= 8 \ 748*3 = 26 \ 244 \\ \\ x= \sqrt{26 \ 244} = 162 \ mm$

Original height was 162 mm

6 0

3 years ago

Angles 4, 5, and 6 are in the ratio 2:5:3. Find the measure of each angle

garri49 [273]

Answer:

The angles 4, 5 and 6 are 36, 90 and 54 respectively.

Step-by-step explanation:

First, let's find the total number of parts:

2 + 5 + 3 = 10

The amount of degrees per part is 180 / 10 = 18.

Now, we multiply that factor to the ratio:

$2*18 : 5*18 : 3*18//36:90:54$

Thus, the angles 4, 5 and 6 are 36, 90 and 54 respectively.

4 0

4 years ago

Y=1/5x+3 what is the graphing for this problem

nirvana33 [79]

This is not clear sorry

4 0

3 years ago

What type of graph are you most likely to use if you are comparing 2 quantitative continuous variables.

givi [52]

The answer would be a histogram. It is an accurate display of numerical data. It shows the basic frequency distribution or shape of a data. We know that continuous data are measured on a scale or continuum (for example: weight or test scores). Histograms are useful for displaying continuous data.

7 0

3 years ago

What scale factor is shown in the graph?

oee [108]

The answer is 1/2 the last one

7 0

3 years ago

Read 2 more answers