BUDS PUBLIC SCHOOL
WORKSHEET 5
MATHEMATICS
GRADE 9
Lines and angles
1. Two adjacent angles on a straight line are in the ratio 6:3. Find the measure of the greater angle.
2. In the given figure, if <COA = 620, then x is ….
C
A
x
O
B
3. If ray OC stands on the line AB such that <AOC = <COB, then show that <AOC = 900.
4. In the given figure p//q and r is a transversal, the values of x and y respectively are ……
( x+45)0
(3x + 15)0
5. In the figure, AB//DE, find the value of <BCD.
A
B
D
E
1300
F
800
C
6. In the given figure, l//m//n. The value of x is ….
l
m
400
n
x
7. In the given figure, EF//DQ and AB//CD. If <FEB = 640, <PDC = 270, then find <PDQ, <AED and <DEF.
P
C
A
Q
F
D
E
B
8. In the given figure, show that AB//EF.
A
B
560
E
260
C
F
1500
300
D
9. In the given figure, find <x if AB//CD.
C
D
1100
B
A………………… P
1000
X
10. In the given figure, AB//CD, if <BAO = 580 and <OCD = 420, then find the value of x?
A
B
580
O
x
C
D
11. In the given figure, PQ//RS and T is any point as shown in the figure, then show that <PQT + <QTS +
<RST = 3600
P
Q
T
R
S
12. In the given figure, if AB //CD, <APQ = 600 and <PRD = 1370, then find the value of x and y.
A
P
600
B
y
x
1370
C
Q
R
D
13. In the given figure, <CAB = 270, <ACB = 260, find x
C
260
E
x
270
A
450
B
D
14. In the given figure , AB//CD find the value of x
D
F
B
300
C
750
x
A
E
15. In the given figure, OP = OQ, <P = 600 and <R = 400, find the measure of <SOR.
600
P
Q
O
400
R
S
BUDS PUBLIC SCHOOL
WORKSHEET 6
MATHEMATICS
GRADE 9
TRIANGLES
1. In the figure, ABCD is a quadrilateral in which AB = AD and ACX bisects <A. Show that BC = DC.
B
A
C
D
2. In the figure, ABCD is a quadrilateral in which AD = BC and <DAB = <CBA. Prove that i)
II) BD = AC
A
ABD≅
BAC
D
B
C
3.
ABC is an isosceles triangle with AB = AC. Prove that the altitudes BD and CE of the triangle are
equal.
A
E
D
B
C
4. In the figure, ABC is a right triangle right angled at B. E is the midpoint of AC, prove that EA = EB = EC.
A
E
B
C
ABC, <DAC = <ECA and AB = BC. Prove that ABD ≅
5. In the figure ,in
CBE
B
E
D
A
C
6. In the figure, D is the midpoint of the side BC of ABC and
measure of <ACD.
A
ABD=500. If AD = BD = DC, then find the
500
50
B
D
C
7. In the figure, ABC is a triangle in which AB = AC and BE = CD. Prove that AD = AE.
A
B
D
E
C
8. Prove that the angles opposite to equal sides of a triangle are equal.
9. In the figure,
<ABD = <ACD
ABC and DBC are on the same base BC. If AB = AC and BD = CD, then prove that
A
D
B
C