Midpoint Theorem Problem

Here we will learn how to solve different types of midpoint theorem problem.

In the adjoining figure, find

(i) ∠QPR,

(ii) PQ if ST = 2.1 cm.
Midpoint Theorem Problem



Solution:

In ∆PQR, S and T are the midpoints of PR and QR respectively.

Therefore, ST = \(\frac{1}{2}\)PQ and ST ∥ PQ.

(i) ∠QPR = ∠RST (Corresponding angles),

i.e., ∠QPR = 55°.


(ii) PQ = 2 × ST = 2 × 2.1 cm = 4.2 cm.











9th Grade Math

From Midpoint Theorem Problem to HOME PAGE




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.



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.




Share this page: What’s this?

Recent Articles

RSS

  1. Addition of Capacity | Add the Different Units of Capacity | Examples

    Nov 14, 24 03:03 PM

    Addition of Measurement of Capacity
    In addition of capacity we will learn how to add the different units of capacity and volume together. While adding we need to follow that the units of capacity i.e., liter and milliliter

    Read More

  2. Measuring Capacity | Standard Unit of Capacity | Litre | Millilitres

    Nov 14, 24 02:40 PM

    2 Tablespoonful of Water
    We will discuss about measuring capacity. The milkman measures milk in liters. Petrol is given in liters. Mobil oil is sold in liters. Two milk bottles contain 1 liter of milk. One milk bottle

    Read More

  3. Subtraction of Mass | Difference Between the Units of Mass | Examples

    Nov 14, 24 09:16 AM

    Subtraction of Measurement of Weight
    In subtraction of mass we will learn how to find the difference between the units of mass or weight. While subtracting we need to follow that the units of mass i.e., kilogram and gram

    Read More

  4. Worksheet on Subtraction of Mass |Word Problems on Subtraction of Mass

    Nov 13, 24 02:00 PM

    Worksheet on Subtraction of Mass
    Practice the third grade math worksheet on subtraction of mass or weight. This sheet provides different types of questions where you need to arrange the values of mass under different columns

    Read More

  5. Worksheet on Addition of Mass | Word problems on Addition of Mass

    Nov 13, 24 10:24 AM

    Practice the third grade math worksheet on addition of mass/weight. This sheet provides different types of questions where you need to arrange the values of mass under different columns

    Read More