Worksheet on Same Base and Same Parallels
Worksheet on same base and same parallels will help us to practice the different types of questions on area proportions.
1. Parallelogram PQRS and rectangle PQUT are on the same base PQ and between the same parallels PQ and TR. Also, the area of the parallelogram is 63 cm^2 and the width of the rectangle is 9 cm. Find the length of the rectangle and its area.
2. In the adjoining figure, ∆PQR is right angled at Q in which QR = 6 cm and PQ = 7 cm. Find the area of ∆QSR; given that PS∥QR.
3. Parallelogram PQRS and PQTU are on the same base PQ and between same parallels PQ and UR. Area of parallelogram PQRS = 56 cm^2 and the altitude of the parallelogram PQTU = 7 cm. Find the length of the common side of two parallelograms.
4. Parallelogram PQRS, ∆PQS, and rectangle PQTU have the same base PQ. If the area of ∆PSQ = 48 cm^2, then find the area of parallelogram PQRS and the area of rectangle PQTU.
5. LM is median of ∆JKL, JK = 10 cm and the altitude of the ∆JKL = 4 cm, find the area of ∆JLM and area of ∆LMK
6. AD is the median of ∆ABC. E is any point on AD. Show that area of ∆ABE = area of ∆ACE
7. The diagonal of the quadrilateral ABCD, (DB, AC) intersect at O. If OB = OD, then show that ∆ABC and ∆ADC have same areas.
[Hint: AO is the median of ∆ADB. Find area of triangles AOD and AOB …………… (1)
OC is the median ∆DCB. Find areas of triangles DOC and BOC …………… (2)
Add (1) and (2)].
8. In the parallelogram ABCD, E, F are any two points on sides AB and BC respectively. Show that ∆DFA and ∆DEC have same areas.
9. ∆PQR is isosceles triangle with ST//QR. The medians SR and QT intersect each other at O.
Prove that area of (1) ∆QTS = ∆RST
(2) ∆QOS = ∆ROT
(3) ∆PQT = ∆PRS
Answers for the worksheet on same base and same parallels are given below to check the exact answer.
Answers:
1. Length = 7 cm, Area = 63 cm^2
2. Area = 21 cm^2
3. Length = 8 cm
4. Area = 96 cm^2
5. Area = 10 cm^2
Math Home Work Sheets
From Worksheet on Same Base and Same Parallels 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.
Recent Articles
-
3rd Grade Math Worksheets |3rd Grade Math Sheets|3rd Grade Math Lesson
Jan 14, 25 02:50 PM
3rd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students. -
3rd Grade Subtraction Worksheet | 3-Digit Subtraction Worksheets | Ans
Jan 14, 25 01:57 PM
In 3th Grade Addition Worksheet we will solve how to subtract 3-digit numbers by expansion, subtraction of 3-digit numbers without regrouping, subtraction of 3-digit numbers with regrouping, propertie… -
Facts about Subtraction | Subtraction of Small Numbers|Solved Examples
Jan 14, 25 12:29 AM
The operation to finding the difference between two numbers is called subtraction. Let us know some facts about subtraction which will help us to learn subtraction of large numbers. 1. Subtraction wit… -
Word Problems on Subtraction |Worksheet on Subtraction Word Problems |
Jan 14, 25 12:21 AM
In word problems on subtraction we need to read the question carefully and understand what we need to find out. We know, in subtraction the larger number from which we subtract the other number (the s… -
Worksheet on Estimating Sums and Differences | Find the Estimated Sum
Jan 13, 25 01:34 PM
In 4th grade worksheet on estimating sums and differences, all grade students can practice the questions on estimations.This exercise sheet on estimating sums and differences can be practiced
Figure on Same Base and between Same Parallels
Parallelograms on Same Base and between Same Parallels
Parallelograms and Rectangles on Same Base and between Same Parallels
Triangle and Parallelogram on Same Base and between Same Parallels
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.