il VOLTE8:09 p.m.27%Janhavi K School< 7minuteseigolauncher.comHOTS1. If the bisectors of angles of a quadrilateralenclose a rectangle, then show that it is aparallelogram.2. L, M, N, K are mid-points of sides BC, CD, DA andAB respectively of square ABCD, prove that DL, DK,BM and BN enclose a rhombus.3. PQRS is a parallelogram. PS is produced to meetM so that SM = SR and MR is produced to meet PQproduced at N. Prove that QN= QR.4. In a AABC, DE is parallel to BC and D is the mid-point of side AB. Find the perimeter of AABC when AE= 4.5 cm, DE = 5 cm and DB = 3.5 cm.5. If an angle of a parallelogram is 4/5 of it adjacentangle, then find the measures of all the angles of theparallelogram.6. ABCD is a trapezium in which AB is parallel to CD.If LA = 36° and LB = 81°, then find LC and LD.7. In a AABC, DE is parallel to BC and D is the mid-point of side AB. Find AE and BC if DE = 6 cm and EC= 5 cm.8. In a parallelogram ABCD find the measure of allthe angles if one angle measures 68°.9. The lengths of diagonals of a rhombus are 24 cmand 18 cm respectively. Find the length of each sideof the rhombus.10. In a parallelogram ABCD find the measure of allthe angles if one its angles is 15° less than twice thesmallest angle.inf•..

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1. If the bisectors of angles of a quadrilateral enclose a rectangle, then show that it is a parallelogram.

Linear Algebra: A Modern Introduction

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ISBN:9781285463247

Author:David Poole

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Chapter1: Vectors

Section1.2: Length And Angle: The Dot Product

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Question

il VOLTE
8:09 p.m.
27%
Janhavi K School
< 7minuteseigolauncher.com
HOTS
1. If the bisectors of angles of a quadrilateral
enclose a rectangle, then show that it is a
parallelogram.
2. L, M, N, K are mid-points of sides BC, CD, DA and
AB respectively of square ABCD, prove that DL, DK,
BM and BN enclose a rhombus.
3. PQRS is a parallelogram. PS is produced to meet
M so that SM = SR and MR is produced to meet PQ
produced at N. Prove that QN= QR.
4. In a AABC, DE is parallel to BC and D is the mid-
point of side AB. Find the perimeter of AABC when AE
= 4.5 cm, DE = 5 cm and DB = 3.5 cm.
5. If an angle of a parallelogram is 4/5 of it adjacent
angle, then find the measures of all the angles of the
parallelogram.
6. ABCD is a trapezium in which AB is parallel to CD.
If LA = 36° and LB = 81°, then find LC and LD.
7. In a AABC, DE is parallel to BC and D is the mid-
point of side AB. Find AE and BC if DE = 6 cm and EC
= 5 cm.
8. In a parallelogram ABCD find the measure of all
the angles if one angle measures 68°.
9. The lengths of diagonals of a rhombus are 24 cm
and 18 cm respectively. Find the length of each side
of the rhombus.
10. In a parallelogram ABCD find the measure of all
the angles if one its angles is 15° less than twice the
smallest angle.
in
f
•..

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