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.
(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.
(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
(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm
(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.
(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
Area and perimeter word problems
Word problems on direct variation and inverse variation
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
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
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
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 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
Recent Articles
-
Finding Equation of Parallel Line
Feb 20, 20 03:09 AM
Finding Equation of Parallel Line - Concept and examples with step by step solution
-
Discount Problems in Profit and Loss
Feb 19, 20 04:35 AM
Discount Problems in Profit and Loss - Examples with step by solution
-
Find the Selling Price if we Want to Make a Given Profit or Loss
Feb 15, 20 06:47 AM
Find the Selling Price if we Want to Make a Given Profit or Loss - Example problems with step by step solution
