Question

what do you mean by equal intercept theorem?
i want with full explanation
with a diagram and also a solved sum of it
i will mark you as brainliest
plz don't spam

Answer 1

Step-by-step explanation:

Step-by-step explanation:Equal intercept theorem ..the theorem states if a transversal makes equal intercepts on three or more parallel lines,then any other line cutting them will also make equal intercepts ...So any line passing through them , the intercept made by m on the line is twice the intercept made by m-n.

I have no diagram& sum but I explain with full explaination .

please mark me as brainliest answer.

Answer 2

║⊕ANSWER⊕║

The theorem states if a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts.

Given: Let there be three straight lines L1, L2, and L3 such that L1 ∥ L2 ∥ L3.

Transversal AB makes equal intercepts on L1, L2 and L3, I.e., PQ = QR. Another transversal CD makes intercepts KM and MN.

To Prove: KM = MN.

Construction: Join PN which cuts the L2 at O.

Proof:

Statement                                                                        

1. PQ = QR and QO ∥ line L3.                                      

Given.

2. O is the midpoint of PN, i.e., PO = ON.

By converse of Midpoint Theorem.

3. PO = ON and OM ∥ L1.

 By statement 2 and given.

4. M is the midpoint of NK, i.e., KM = MN (Proved)

By converse of Midpoint Theorem.