Question

If Triangle ABC ~ triangle DEC solve for x. Picture not drawn to scale.
a. x=2
b. x=3
c. x=3
d. x=13

Answer 1

First, you need to find which sides are corresponding sides.



Complete the sentences below:
Side 1 corresponds to side
Side 2 corresponds to side
Side 3 corresponds to side

Answer 2

side 1 corresponds to side 4
side 2 corresponds to side 5
side 3 corresponds to side 6 i think

Answer 3

This is a little tricky, that why I asked.
1 corresponds to 4. That is correct.
now let's look at the other sides.
Since sides 1 and 4 are parallel, we can conclude some pairs of angles are congruent by interior angles of parallel lines cut by a tranversal.

Answer 4

You understand how the pairs of corresponding angles are congruent?

Answer 5

no

Answer 6

Ok. I'll backtrack.

Answer 7

Let's start with 2 parallel lines.
Lines m and n are given as parallel.

Answer 8

Now we draw a transversal. Line t is a transversal to lines m and n.
Angles 1 and 2 are alternate interior angles.
When parallel lines are cut by a transversal, alternate interior angles are parallel.
That means angles 1 and 2 are congruent.