Answer:
D. ∠B = ∠B' = 74° and ∠C = ∠C' = 66°
Step-by-step explanation:
Given,

We know,sum of all 3 angles of a triangle is
°
Doing so ,

Simplifying all like terms,

Dividing both side by 12


Now we plug this in each angles and find their exact values.
°
°
°
Now substituting the
in angles of dilated triangle.
°
°
°
We see that all the corresponding angles are equal and as far as the options are concerned only option (D) matches.
Answer:
The scale factor of the smaller rectangle to the larger rectangle is 3/2
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
To find out the scale factor of the smaller rectangle to the larger rectangle. set up a proportion
----> ratio of corresponding heights
or
----> ratio of corresponding bases
therefore
The scale factor of the smaller rectangle to the larger rectangle is 3/2
Answer:

Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case you know that the triangle ABC was dilated by this scale factor:

With the origin as the center of dilation.
Since:

It is a Reduction.
You can identify that the vertices of the triangle ABC are:

So you need to multiply the coordinates of each vertex of the triangle ABC by
, in order to get the coordinates of the triangle A'B'C. Then, you get:

Answer:

Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>
<h3>let's solve:</h3>
- rewrite the given expression:(x)²-2.2x+(2)²
- (x-2)²
and
we are done