BYJUS CLASSES Centralized AssignmentSubject: MathematicsClass: 9th

!"ic: Euclids # C!!rdinate $e!metr%Level-11.State whether the statement are true or false:-(A) A line has a definite length (B) A ray has two end points(C) Two distinct lines may intersect in two points () A point has no part.(!) The num"er of dimensions a solid ha#e is $. (%) !uclidean geometry is #alid only for cur#ed surfaces$. &rite down the three steps from solids to points'(. )ro#e that an e*uilateral triangle can "e constructed on any gi#en line segment.+. ,f AB - ./ 0 (1 BC - (/ 0 1 and AC - 12/. Then for what #alues of /1 does A1 B and C are collinear... Answer the following *uestions:-(A) )int (-11 -$) lies in which *uadrant(B) )oint (21 -$) lies on which a/is'(C) &rite down the e*uations of /-a/is and y-a/is() &rite down the a"scissa and ordinate of the point (-(1 +)(!) &rite down the measure of the angle "etween the coordinate a/es.(%) &rite down the a"scissa and ordinate of the origin(3) 4ame the *uadrant in which the point )(/1 y) lies when / 5 2 and y 5 2.6. )lot the following points on the graph-paper(A) (21 2) (B) (21 () (C) ((1 2) () (.1 +)(!) (-(1 -+) (%) (-11 +) (3) (+1 -1)7. (A) 3i#en two points )(/1 y) and 8 (+1 -()1 find for what #alues of / and y will the line 9oining ) and 8 will "e parallel toy-a/is.(B) 3i#en two points )(/1 y) and 8 (+1 -()1 find for what #alues of / and y will the line 9oining ) and 8 will "e parallel to/-a/is.:. %ind the image of the point .1 -. if the mirror is placed at(A) /-a/is (B) y-a/is (C) / - $ () y - (;. &rite the coordinates of the #ertices of the rectangle whose length and "readth are ; units and + units respecti#ely1 one#erte/ lies at origin the length lies on the y-a/is and one of the #erte/ lies in the ,< *uadrant.BYJUs Classes BYJUS CLASSES Centralized AssignmentSubject: MathematicsClass: 9th

!"ic: Euclids # C!!rdinate $e!metr%12. )lot the following points on the graph paper. =oin the points and find the area of the *uadrilateral so formed:-(A) ($1 2) (B) (-$1 2)(C) (-$1 () () ($1 6)11. &rite down the e*uation of line:-(A) )arallel to /-a/is and at a distance of + units "elow /-a/is(B) )arallel to y-a/is and at a distance of $ units on the left of y-a/is1$. &rite down two solutions of the e*uations(A) / 0 y - . (B) y 0 / - .1(. ,f )8> is an e*uilateral triangle with coordinates of 8 and > as (-+1 2) and (+1 2) respecti#ely. %ind the coordinate of the#erte/ )1 if #erte/ ) lies on y-a/is.1+. ,f the coordinates of a point ? are (-$1 ;) which can also "e e/pressed as (1 0 /1 y$) and y @ 21 the find the which*uadrant is the followings lie'(A) )(y1 /) (B) 8((1 /) (C) >(/$1 y A 1) () S($/1 - +y)1.. Bse !uclidCs a/ioms1 postulates and definition to construct a e*uilateral triangle of a gi#es line segment. )ro#ided linesegment is AB.AB BYJUs Classes