# Holiday Worksheets for Grade 9 continuing ```BUDS PUBLIC SCHOOL
WORKSHEET 5
MATHEMATICS
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 &lt;COA = 620, then x is ….
C
A
x
O
B
3. If ray OC stands on the line AB such that &lt;AOC = &lt;COB, then show that &lt;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 &lt;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 &lt;FEB = 640, &lt;PDC = 270, then find &lt;PDQ, &lt;AED and &lt;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 &lt;x if AB//CD.
C
D
1100
B
A………………… P
1000
X
10. In the given figure, AB//CD, if &lt;BAO = 580 and &lt;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 &lt;PQT + &lt;QTS +
&lt;RST = 3600
P
Q
T
R
S
12. In the given figure, if AB //CD, &lt;APQ = 600 and &lt;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, &lt;CAB = 270, &lt;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, &lt;P = 600 and &lt;R = 400, find the measure of &lt;SOR.
600
P
Q
O
400
R
S
BUDS PUBLIC SCHOOL
WORKSHEET 6
MATHEMATICS
TRIANGLES
1. In the figure, ABCD is a quadrilateral in which AB = AD and ACX bisects &lt;A. Show that BC = DC.
B
A
C
D
2. In the figure, ABCD is a quadrilateral in which AD = BC and &lt;DAB = &lt;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, &lt;DAC = &lt;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 &lt;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,
&lt;ABD = &lt;ACD
ABC and DBC are on the same base BC. If AB = AC and BD = CD, then prove that
A
D
B
C
```