Area of Triangle Between Two Parallels

Q. The areas of trianlgles on the same base and between same parallel lines are equal.

1. True
2. False

Q.

Area of triangle MNO in the given figure is______.

1. ½ MN × NO

2. ½ NO × MO

3. ½ MN × OQ

4. ½ NO × OQ

Q.

Consider a triangle ABC in which BC is 6 cm, Angle B is ${75}^{\circ }$. What is the minimum value of AB+AC?

1. None of these

2. 5

3. 6

4. 10

Q. A triangle and a parallelogram are formed on the same base and between same parallel lines.

$\frac{\text{Area of the parallelogram}}{\text{Area of the triangle}}$ =

1. $\frac{1}{2}$
2. $\frac{1}{4}$
3. $\frac{4}{1}$
4. $\frac{2}{1}$

Q. In the given figure the area of $\Delta$MDC is equal to $25c{m}^2$. The area of $\Delta$NDC is equal to

1. $20c{m}^2$
2. $25c{m}^2$
3. $30c{m}^2$
4. $35c{m}^2$

Q. Area of a triangle with base b and height h
= ______ x (area of a parallelogram with base b and height h)

1. $\frac{2}{3}$
2. $\frac{1}{2}$
3. $\frac{1}{3}$
4. $\frac{3}{4}$

Q. In the given figure the area of $\Delta$EDC is equal to $30c{m}^2$. The area of $\Delta$FDC is equal to

1. $20c{m}^2$
2. $30c{m}^2$
3. $25c{m}^2$
4. $35c{m}^2$

Q. Ratio of areas of $\Delta MNO,\Delta MOP$ and $\Delta MPQ$ in Fig. is

1. $2:1:3$
2. $1:3:2$
3. $2:3:1$
4. $1:2:3$

Q. Two triangles between two parallel lines and having the same base have equal area.

1. True
2. False

Q. A triangle and a parallelogram are formed on the same base and between same parallel lines.

$\frac{\text{Area of the parallelogram}}{\text{Area of the triangle}}$ =

1. $\frac{1}{2}$
2. $\frac{1}{4}$
3. $\frac{4}{1}$
4. $\frac{2}{1}$

Q.

If $\overleftrightarrow{AD}||\overleftrightarrow{BC},$ then area $\left(\Delta ABC\right)$ = area $\left(\Delta BEC\right)$. = area $\left(\Delta DBC\right)$.

1. True

2. False