Question

The figure below shows two congruent triangular parks. What equation would help you to solve for the side length of BC and EF? Explain your reasoning using complete sentences. • I just need help

Answer 1

which figure?

Answer 2

@Easyaspi314

Answer 3

@Easyaspi314 did you got it ? and by the way thank you for answering.
I just need help, no the full answer .

Answer 4

Congruent Triangles means that you can setup the sides into a fraction and set them equal

Example if you had two congruent triangles ABC DEF

Then
\[\frac{AB}{DE} = \frac{BC}{EF}\]where these are side lengths

Answer 5

@PhysicsGuru I kind of get it right now, but I'm still confused, so after i have that. what do i do ?

Answer 6

Using this relationship you will find an equation involving x and solve for x

Answer 7

make sure you choose the sides that contain x

Answer 8

so it will turn like this ?\[\frac{ 15 }{ 15 } = \frac{ 3x-5 }{ X+6 }\]

Answer 9

3x -4 not 5 .... but yes then solve for x

Answer 10

Yeap, yeap... Here is where i get stuck. How do i solve for X now ?

Answer 11

You first want to get x out of the denominator so you will multiply by the x+6 term and then make sure to get x on one side... need to go through the steps?

Answer 12

Yeap please ... :)

Answer 13

\[1 = \frac{3x-4}{x +6}\] multiple by x+6 term first....

Answer 14

So it will be 1X+6 ?

Answer 15

1(X+6) where 1 multiplied by any term is the term itself so X+6

Answer 16

SO, x+6= 3x-4 ?

Answer 17

correct then move the x terms to one side

Answer 18

SO, 6=2x-4 ?

Answer 19

yes then you want to isolate (get by itself) x on the right side

Answer 20

X=5 ???

Answer 21

done!! :)

Answer 22

Thank You sooooo much !!! So the answer to the question will be ?

Answer 23

\[X + 6 = 3x -4\] because congruent triangles mean that the same sides are equal between both

Answer 24

Thank YOU SO MUUUUUUUUUUUUUUUUUUUUUUUCH !!!! Can you check the answer i putted for another question ?

Answer 25

Determine if the two figures are congruent and explain your answer. If they are congruent, tell which rigid motions were used.

MY ANSWER : They are congruent because each of its sides measure the same. The rigid motion they use is 90 degrees clockwise.