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# You are tasked to divide a blank card into three equal rows/pieces but you do not have a ruler. instead, you will use a piece of equally lined paper and a straightedge. what is the sequence of the steps you are going to undertake in order to apply the theorem on parallel lines? i – mark the points where the second and third lines intersect the card. ii – place a corner of the top edge of the card on the first line of the paper. iii – repeat for the other side of the card and connect the marks. iv – place the corner of the bottom edge on the fourth line. a. i, ii, iii, ivb. ii, iii, iv, ic. i, iii, iv, iid. ii, iv, i, iii

• Réponse publiée par: danigirl12

1.D

2.B

3.C

4.C

5.C

6.A

7.A

8.C

9.C

• Réponse publiée par: kambalpandesal23

In the Triangle Proportionality Theorem , we have seen that parallel lines cut the sides of a triangle into proportional parts. Similarly, three or more parallel lines also separate transversals into proportional parts.

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

In the figure shown, if AD←→∥BE←→∥CF←→ , then ABBC=DEEF,ACDF=BCEF , and ACBC=DFEF .

Example:

Find the value of x .

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

So write a proportion .

GHHJ=KLLM

Substitute the values.

86=10x

Use the cross product .

(8)(x)=(10)(6)        8x=60

Divide each side by 8 .

8x8=608   x=7.5

Therefore, the value of x is 7.5 .

Step-by-step explanation:

• Réponse publiée par: jemuelpogi