## BASIC PROPORTIONALITY THEOREM WORKSHEET WITH ANSWERS

Basic Proportionality Theorem Worksheet with Answers :

Practice questions given in this section will be much useful for the students who would like to practice of geometry concept basic proportionality theorem.

To know more about the basic proportionality theorem, please visit the page "Basic proportionality theorem"

(1) In a triangle ABC,D and E are points on the sides AB and AC respectively such that DE is parallel to BC.

(i)  If AD = 6 cm, DB = 9 cm and AE = 8 cm, then find AC.

Solution

(ii)  If AD = 8 cm, AB = 12 cm and AE =12 cm, then find CE.         Solution

(iii)  If AD = 4 x – 3, BD = 3 x – 1, AE = 8 x – 7 and EC = 5 x – 3, then find the value of x.      Solution

(2) In the figure, AP = 3 cm, AR = 4.5 cm, AQ = 6 cm, AB = 5 cm and AC = 10 cm. Find the length of AD.

Solution

(3) E and F are points on the sides PQ and PR respectively, of a triangle PQR. For each of the following cases. Verify EF is parallel to QR.

(i)  PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm

Solution

(ii)  PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm

Solution

(4) In the figure, AC is parallel to BD and CF is parallel to DF, if OA = 12 cm, AB = 9 cm, OC = 8 cm and EF = 4.5 cm, then find FQ.

Solution

(5) ABCD is a quadrilateral with AB parallel to CD. A line drawn parallel to AB meets AD at P and BC at Q. Prove that (AP/PD)  =  (BQ/QC)           Solution

(6) In t he figure, PC and QK are parallel BC and HK are parallel, if AQ = 6 cm, QH = 4 cm, HP = 5 cm, KC = 18 cm, then find AK and PB.

(7) In the figure DE is parallel to AQ and DF is parallel to AR prove that EF is parallel to QR.

(8) In the figure the sides DE and AB are parallel and DF and AC are parallel. Prove that EF and BC are parallel.

After having gone through the stuff given above, we hope that the students would have understood, how to solve problems using the concept basic proportionality theorem.

Apart from the stuff given in this section , if you need any other stuff in math, please use our google custom search here.

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6