When parallel lines are cut by a transversal?
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Showing posts with label maths. Show all posts
Showing posts with label maths. Show all posts
Tuesday, July 25, 2017
Converse of Pythagoras Theorem 6.9 ll cbse class 10 ll chapter 6 triangles
Converse of Pythagoras Theorem 6.9 ll cbse class 10 ll chapter 6 triangles
Assumed mean method ll finding mean ll grouped data ll cbse class 10 statistics
Assumed Mean Method for Mean - Statistics , Maths, Class 10
CBSE Class 10 Maths | Mean of Grouped Data | NCERT
Mean of Grouped Data
Step deviation method ll finding mean ll cbse maths class 10 chapter 14 statistics
Step deviation Method (Mean Method) for Mean - Statistics , Maths, Class 10
CBSE Class 10 Maths | Mean of Grouped Data | NCERT
Mean of Grouped Data
Mode for grouped data ll cbse class 10 maths NCERT chapter 14 statistics
Mode method - Statistics , Maths, Class 10
CBSE Class 10 Maths | Mode of Grouped Data | NCERT
Mode of Grouped Data
Median for grouped data ll cbse class 10 maths chapter 14 statistics
Finding Median - Statistics , Maths, Class 10
CBSE Class 10 Maths | Median of Grouped Data | NCERT
Median of Grouped Data
pythagorean triplet ll pythagoras triplet II ncert class 8 maths squares...
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.
A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: ... When a triangle's sides are a Pythagorean Triple it is a right angled triangle.
Saturday, March 4, 2017
Worksheet class 9 chapter 8 quadrilaterals
Chapter - 8
(Quadrilaterals)
Key Concept
(1) Sum of the angles of a quadrilateral is 3600.
(2) A diagonals of a parallelogram divides it into two congruent triangles.
(3) In a parallelogram
(a) diagonals bisects each other.
(b) opposite angles are equal.
(c) opposite sides are equal
(4) Diagonals of a square bisects each other at right angles and are equal, and vice-
versa.
(5) A line through the mid-point of a side of a triangle parallel to another side bisects
the third side. (Mid point theorem)
(6) The line through the mid points of sides of a ∆║ to third side and half of it.
Section - A
Q.1 The figures obtained by joining the mid-points of the sides of a rhombus, taken in
order, is
(a) a square (b) a rhombus
(c) a parallelogram (d) a rectangle
Q.2 The diagonals AC and BD of a parallelogram ABCD intersect each other at the
point O, if ∟DAC = 320 and ∟AOB = 720
then ∟DBC is
(a) 320 (b) 240 (c) 400 (d) 630
Q.3 In a square ABCD, the diagonals AC and BD bisect at 0. Then ∆AOB is
(a) acute angled (b) right angled
(c) obtuse angled (d) equilateral
Q.4 ABCD is a rhombus such that ∟ACB = 400 then ∟ADB is
(a) 400 (b) 450 (c) 500 (d) 600
Q.5 A quadrilateral ABCD is a parallelogram if
(a) AD || BC (b) AB = CD
(c) AB = AD (d) ∟A = 600, ∟C =
600, ∟B = 1200
Q.6 Three angles of a quadrilateral are 600, 700 and 800. The fourth angle is
(a) 1500 (b) 1600 (c) 1400 (d) None of these
Section - B
Q.7 In the adjoining figure QR=RS
Find
Q.8 Prove that the sum of the four angles of a quadrilateral is 3600.
Q.9 Prove that the diagonals of a parallelogram bisects each other.
Q.10 The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the
quadrilateral.
Q.11 ABCD is a rectangle in which diagonal AC bisects ∟A as well as ∟C. Show that
ABCD is a square
Q.12 In the adjoining figure, ABCD is a ||gm. If ∟DAB = 600 and ∟DBC = 800 .
Find
∟CDB and ∟ADB.
Section - C
Q.13 Prove that the line segment joining the mid-points of two sides of a triangle is
parallel to the third side.
Q.14 ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD
and DA respectively. Show that the quadrilateral PQRS is a rhombus.
Q.15 Prove that the straight line joining the mid-points of the diagonals of a trapezium
is parallel to the parallel sides and is equal to half their difference.
Q.16 In the adjoining figure, D, E and F are mid-points of the sides BC, CA and AB of ∆ABC If AB = 4.3cm, BC = 5.6cm and AC = 3.5cm, find the perimeter of ∆EFD
Q.17 In a parallelogram ABCD, AP and CQ are drawn perpendiculars from vertices A
and C on diagonal BD. Prove that
Q.18 In a parallelogram ABCD, E and F are points on AB and CD such that AE = CE.
Prove that ED||BF.
Section - D
Q.19 If a line is parallel to the base of a trapezium and bisects one of the non-parallel
sides, then prove that it bisects either diagonal of the trapezium.
Q.20 AD is a median of
∆ABC and E is the mid-point of AD. BE Produced meets AC in
F. Prove that
AF = 1/3 AC.
Q.21 ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse
AB and parallel to BC intersects AC at D. Show that
(i) D is the mid-point of AC
(ii) CM =
MA = 1/2AB.
Q.22 Show that the bisectors of angles of a parallelogram form a rectangle.
Answers -
Q.1 (d) Rectangle
Q,2 (c) 400
Q.3 (b) Right angled
Q.4 (c) 500
Q.5 (d) ∟A = 600, ∟C = 600 , ∟B = 1200
Q.6 (a) 1500
Q. 7 ∟PSR = 1050
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