quadrilateral. Hence, prove that AB and DC are parallel. Is BC also parallel to AD
4. In quadrilateral ABCD, ZA: ZB : ZC : ZD = 3: 4: 6:7. Find all the angles of the
5. One angle of a parallelogram is two-third of the other. Find the angles of the
(i) ZD
parallelogram.
42°
6. In the adjoining figure, ABCD is a kite. If ZBCD = 52°
and ZADB = 42°, find the values of x, y and z.
[Hint. Join AC.]
A
y
520
X X
N
B
D
7. In the adjoining figure, ABCD is a rectangle. Prove
that AC = BD.
[Hint. AABC ABAD.]
A
8. In the adjoining figure, ABCD is a rhombus and
EDC is an equilateral triangle. If ZDAB = 48°, find
(i) angle BEC
(ii) angle DEB
(iii) angle BFC
F
ITT
ברוך
Answers
Answer:
a) a=2b
b) b=2a
c) a+2b=0
d) 22+b=0
3. If a pair of linear equations in two variables is consistent, then the lines represented by two
equations are
a) Intersecting
b) Parallel
c) Always coincident
d) Intersecting (or) coincident
4. SABC and ABDE are two equilateral triangles such that D is the mid point of BC. The ratio of
the areas of triangles ABC and BDE is
일 a) 2:1
b) 1:2
c) 4:1
d) 1:4
5. In an equilateral triangle ABC, ADIBC, then
le
a) 2AB2 = 3AD?
b) 4AB2 = 3ADZ
c) 3AB2 = 4AD2
d) 3 ABZ
2AD?
6. If the height of a vertical pole is v3 times the length of its shadow on the ground, then the
angle of elevation of the sun at that time is
a) 300
b) 60°
c) 45°
d) 750
7. The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is
a) 1:2
b) 2:3
c) 9:16
d) 16:9
8. The diameters of two circular ends of the bucket are 44cm and 24cm. The height of the
bucket is 35cm. The capacity of the bucket is
a) 32.71
b) 33.71
c) 34.71
d) 31.71
9. The probability of an impossible event is
5) ao
b) 1
c) /
d) non - existent
10. Two dice are thrown together. The probability of getting the same number on both dice is
a) 12
b) 1/3
c) 1/6
d) 1/12
plz answer me with step by step
Step-by-step explanation:
a) a=2b
b) b=2a
c) a+2b=0
d) 22+b=0
3. If a pair of linear equations in two variables is consistent, then the lines represented by two
equations are
a) Intersecting
b) Parallel
c) Always coincident
d) Intersecting (or) coincident
4. SABC and ABDE are two equilateral triangles such that D is the mid point of BC. The ratio of
the areas of triangles ABC and BDE is
일 a) 2:1
b) 1:2
c) 4:1
d) 1:4
5. In an equilateral triangle ABC, ADIBC, then
le
a) 2AB2 = 3AD?
b) 4AB2 = 3ADZ
c) 3AB2 = 4AD2
d) 3 ABZ
2AD?
6. If the height of a vertical pole is v3 times the length of its shadow on the ground, then the
angle of elevation of the sun at that time is
a) 300
b) 60°
c) 45°
d) 750
7. The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is
a) 1:2
b) 2:3
c) 9:16
d) 16:9
8. The diameters of two circular ends of the bucket are 44cm and 24cm. The height of the
bucket is 35cm. The capacity of the bucket is
a) 32.71
b) 33.71
c) 34.71
d) 31.71
9. The probability of an impossible event is
5) ao
b) 1
c) /
d) non - existent
10. Two dice are thrown together. The probability of getting the same number on both dice is
a) 12
b) 1/3a) a=2b
b) b=2a
c) a+2b=0
d) 22+b=0
3. If a pair of linear equations in two variables is consistent, then the lines represented by two
equations are
a) Intersecting
b) Parallel
c) Always coincident
d) Intersecting (or) coincident
4. SABC and ABDE are two equilateral triangles such that D is the mid point of BC. The ratio of
the areas of triangles ABC and BDE is
일 a) 2:1
b) 1:2
c) 4:1
d) 1:4
5. In an equilateral triangle ABC, ADIBC, then
le
a) 2AB2 = 3AD?
b) 4AB2 = 3ADZ
c) 3AB2 = 4AD2
d) 3 ABZ
2AD?
6. If the height of a vertical pole is v3 times the length of its shadow on the ground, then the
angle of elevation of the sun at that time is
a) 300
b) 60°
c) 45°
d) 750
7. The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is
a) 1:2
b) 2:3
c) 9:16
d) 16:9
8. The diameters of two circular ends of the bucket are 44cm and 24cm. The height of the
bucket is 35cm. The capacity of the bucket is
a) 32.71
b) 33.71
c) 34.71
d) 31.71
9. The probability of an impossible event is
5) ao
b) 1
c) /
d) non - existent
10. Two dice are thrown together. The probability of getting the same number on both dice is
a) 12
b) 1/3a) a=2b
b) b=2a
c) a+2b=0
d) 22+b=0
3. If a pair of linear equations in two variables is consistent, then the lines represented by two
equations are
a) Intersecting
b) Parallel
c) Always coincident
d) Intersecting (or) coincident
4. SABC and ABDE are two equilateral triangles such that D is the mid point of BC. The ratio of
the areas of triangles ABC and BDE is
일 a) 2:1
b) 1:2
c) 4:1
d) 1:4
5. In an equilateral triangle ABC, ADIBC, then
le
a) 2AB2 = 3AD?
b) 4AB2 = 3ADZ
c) 3AB2 = 4AD2
d) 3 ABZ
2AD?
6. If the height of a vertical pole is v3 times the length of its shadow on the ground, then the
angle of elevation of the sun at that time is
a) 300
b) 60°
c) 45°
d) 750
7. The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is
a) 1:2
b) 2:3
c) 9:16
d) 16:9
8. The diameters of two circular ends of the bucket are 44cm and 24cm. The height of the
bucket is 35cm. The capacity of the bucket is
a) 32.71
b) 33.71
c) 34.71
d) 31.71
9. The probability of an impossible event is
5) ao
b) 1
c) /
d) non - existent
10. Two dice are thrown together. The probability of getting the same number on both dice is
a) 12
b) 1/3
c) 1/6
d) 1/12
plz answer me with step by step
c) 1/6
d) 1/12
plz answer me with step by step
c) 1/6
d) 1/12
plz answer me with step by step