Answer:
slope of parral line is same as slope of line its 1
Answer:
CD ≠ EF
Step-by-step explanation:
Using the distance formula
d = 
with (x₁, y₁ ) = C(- 2, 5) and (x₂, y₂ ) = D(- 1, 1)
CD = 
= 
= 
= 
Repeat using (x₁, y₁ ) = E(- 4, - 3) and (x₂, y₂ ) = F(- 1, - 1)
EF = 
= 
= 
= 
Since ≈ , then CD and EF are not congruent
Where is it?
step by step:
Answer:
similar triangles
Step-by-step explanation:
First of all, what are similar shapes? Well, two shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. That means you can make one shape bigger or smaller. In this case, we know that triangles ABC and DEF are mathematically similar. The area of triangles ABC is , so we need to know the area of triangle DEF.
From math, let's call the scaling factor, so we know that for any similar figures, the ratio of the areas of any are in proportion to . In other words, if is the area of triangle ABC, and is the area of triangle DEF, then we can write the following relationship:
Given:
The values are 
.
To find:
The values of 
and 
.
Solution:
We have,
...(i)
Multiply both sides by 10.
...(ii)
Subtracting (i) from (ii), we get
And,
Now, the product of a and b is:
The quotient of a and b is:
Therefore, the required values are and .
