Problems on Equal Intercepts Theorem

Here we will solve different types of problems on Equal Intercepts Theorem.


Problems on Equal Intercepts Theorem

In the above figure, MN ∥ KL ∥ GH and PQ = QR. If ST = 2.2 cm, find SU.


The transversal PR makes equal intercepts, PQ and QR, on the three parallel lines MN, KL and GH.

Therefore, by the Equal Intercepts Theorem, ST = TU = 2.2 cm.

Therefore, SU = ST + TU = 2.2 cm + 2.2 cm = 4.4 cm.

2. In a quadrilateral JKLM, JK ∥ LM. A line parallel to LM is drawn through the midpoint X of KL, which meets JM at Y. Prove that XY bisects JM.


Given: In the quadrilateral JKLM, JK ∥ LM. X is the midpoint of KL and XY ∥ LM.

Problems on Equal Intercepts

To prove: XY bisects JM.




1. JK ∥ LM ∥ XY.

1. JK ∥ LM and XY ∥ LM.

2. KL makes equal intercepts on JK, XY and LM.

2. Given that KX = XL.

3. JM also makes equal intercepts on JK, XY and LM.

3. By the Equal Intercepts Theorem.

4. JY = YM.

5. From statement 3.

5. XY bisects JM. (Proved).

5. From statement 4.

9th Grade Math

From Problems on Equal Intercepts Theorem to HOME PAGE

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Share this page: What’s this?

Recent Articles

  1. Roman Numerals | System of Numbers | Symbol of Roman Numerals |Numbers

    Feb 22, 24 04:21 PM

    List of Roman Numerals Chart
    How to read and write roman numerals? Hundreds of year ago, the Romans had a system of numbers which had only seven symbols. Each symbol had a different value and there was no symbol for 0. The symbol…

    Read More

  2. Worksheet on Roman Numerals |Roman Numerals|Symbols for Roman Numerals

    Feb 22, 24 04:15 PM

    Roman Numbers Table
    Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values. Write the number for the following: (a) V…

    Read More

  3. Roman Symbols | What are Roman Numbers? | Roman Numeration System

    Feb 22, 24 02:30 PM

    Roman Numbers
    Do we know from where Roman symbols came? In Rome, people wanted to use their own symbols to express various numbers. These symbols, used by Romans, are known as Roman symbols, Romans used only seven…

    Read More

  4. Place Value | Place, Place Value and Face Value | Grouping the Digits

    Feb 19, 24 11:57 PM

    Place-value of a Digit
    The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know th…

    Read More

  5. Math Questions Answers | Solved Math Questions and Answers | Free Math

    Feb 19, 24 11:14 PM

    Math Questions Answers
    In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students

    Read More