Answer:
(-27,-3) (0,0) (1,1)
Step-by-step explanation:
Because I got it right xD
CQE is a right angle. Hope this helps!!!
For this case, the first thing we must do is define variables:
x: Jane's age
y: Helen's age
By writing the system of equations we have:
y = x + 8
y-20 = 3 (x-20)
Solving the system we have:
x = 24
y = 32
Answer:
Jane is 24 years old
Helen is 32 years old
the equation for Jane would look like:
x + 8 = 3 (x-20) + 20
<h2>
a) Select all that apply</h2>
<em> are each perpendicular to the line of reflection</em>
<em></em>
This option is the only one that is correct. The line of reflection is 
. When we talk about reflection, we are talking about reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. So in this case, this mirror is the line of reflection. As you can see, these three segments <em> </em>form a right angle at the point each segment intersects the line .
<h2>
b) Find each length</h2>
Since the line is an axis that allows to get a mirror image, therefore it is true that:
To find those values 
, count the number of units you get from the point S to L, which is 3 units. Do the same to find 
but from the point T to M, which is 6 units and finally, for 
but from the point U to N, which is 4 units. Therefore:
<h2>
c) Correct Statement</h2>
<em>The line of reflection is the perpendicular bisector of each segment joining a point and its image. </em>
<em />
A bisector is the line dividing something into two equal parts. In this case, the line of reflection divides each segment into two equal parts and is perpendicular because this line form a right angle with each segment. As we demonstrated in a) each segment is perpendicular to the line of reflection, so the first statement is false. On the other hand, each side of the original triangle is not perpendicular to its image and this is obvious when taking a look at the figure. Finally, as we said the line of reflection is perpendicular to each of the mentioned segments, so they can't be parallel as established in the last statement.
