TRIANGLES
TRIANGLES

90676 DIRECTION: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion: If a line intersects sides AB and AC of a \( △ \) ABC at D and E respectively and is parallel to BC, then \(\frac{\text{AD}}{\text{AB}}=\frac{\text{AE}}{\text{AC}} \)
Reason: If a line is parallel to one side of a triangle then it divides the other two sides in the same ratio.

1 Both assertion (A) and reason (R) are true and reason (R) isthe correct explanation of assertion (A).
2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 Assertion (A) is true but reason (R) is false.
4 Assertion (A) is false but reason (R) is true
TRIANGLES

90677 In \(\triangle\text{ABC}\sim\triangle\text{DEF} \) and the perimeters of \(\triangle\text{ABC} \) and \(\triangle\text{DEF} \) are 30cm and 18cm respectively. If BC = 9cm then EF =?

1 6.3cm
2 5.4cm
3 7.2cm
4 4.5cm
TRIANGLES

90678 In an equilateral triangle ABC if \(\text{AD}\perp\text{BC}, \) then AD\(^{2}\) =

1 CD\(^{2}\)
2 2CD\(^{2}\)
3 3CD\(^{2}\)
4 4CD\(^{2}\)
TRIANGLES

90679 It is given that \(\triangle\text{ABC}\sim\text{PQR} \), with \(\frac{\text{BC}}{\text{QR}}=\frac{1}{4} \) then, ar\(\frac{\text{ar}\text({\triangle{\text{PRQ}}})}{\text{ar}\text({\text{ABC}})} \) is equal to:

1 16
2 4
3 \(\frac{1}{4} \)
4 \(\frac{1}{16} \)
TRIANGLES

90676 DIRECTION: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion: If a line intersects sides AB and AC of a \( △ \) ABC at D and E respectively and is parallel to BC, then \(\frac{\text{AD}}{\text{AB}}=\frac{\text{AE}}{\text{AC}} \)
Reason: If a line is parallel to one side of a triangle then it divides the other two sides in the same ratio.

1 Both assertion (A) and reason (R) are true and reason (R) isthe correct explanation of assertion (A).
2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 Assertion (A) is true but reason (R) is false.
4 Assertion (A) is false but reason (R) is true
TRIANGLES

90677 In \(\triangle\text{ABC}\sim\triangle\text{DEF} \) and the perimeters of \(\triangle\text{ABC} \) and \(\triangle\text{DEF} \) are 30cm and 18cm respectively. If BC = 9cm then EF =?

1 6.3cm
2 5.4cm
3 7.2cm
4 4.5cm
TRIANGLES

90678 In an equilateral triangle ABC if \(\text{AD}\perp\text{BC}, \) then AD\(^{2}\) =

1 CD\(^{2}\)
2 2CD\(^{2}\)
3 3CD\(^{2}\)
4 4CD\(^{2}\)
TRIANGLES

90679 It is given that \(\triangle\text{ABC}\sim\text{PQR} \), with \(\frac{\text{BC}}{\text{QR}}=\frac{1}{4} \) then, ar\(\frac{\text{ar}\text({\triangle{\text{PRQ}}})}{\text{ar}\text({\text{ABC}})} \) is equal to:

1 16
2 4
3 \(\frac{1}{4} \)
4 \(\frac{1}{16} \)
TRIANGLES

90676 DIRECTION: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion: If a line intersects sides AB and AC of a \( △ \) ABC at D and E respectively and is parallel to BC, then \(\frac{\text{AD}}{\text{AB}}=\frac{\text{AE}}{\text{AC}} \)
Reason: If a line is parallel to one side of a triangle then it divides the other two sides in the same ratio.

1 Both assertion (A) and reason (R) are true and reason (R) isthe correct explanation of assertion (A).
2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 Assertion (A) is true but reason (R) is false.
4 Assertion (A) is false but reason (R) is true
TRIANGLES

90677 In \(\triangle\text{ABC}\sim\triangle\text{DEF} \) and the perimeters of \(\triangle\text{ABC} \) and \(\triangle\text{DEF} \) are 30cm and 18cm respectively. If BC = 9cm then EF =?

1 6.3cm
2 5.4cm
3 7.2cm
4 4.5cm
TRIANGLES

90678 In an equilateral triangle ABC if \(\text{AD}\perp\text{BC}, \) then AD\(^{2}\) =

1 CD\(^{2}\)
2 2CD\(^{2}\)
3 3CD\(^{2}\)
4 4CD\(^{2}\)
TRIANGLES

90679 It is given that \(\triangle\text{ABC}\sim\text{PQR} \), with \(\frac{\text{BC}}{\text{QR}}=\frac{1}{4} \) then, ar\(\frac{\text{ar}\text({\triangle{\text{PRQ}}})}{\text{ar}\text({\text{ABC}})} \) is equal to:

1 16
2 4
3 \(\frac{1}{4} \)
4 \(\frac{1}{16} \)
TRIANGLES

90676 DIRECTION: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion: If a line intersects sides AB and AC of a \( △ \) ABC at D and E respectively and is parallel to BC, then \(\frac{\text{AD}}{\text{AB}}=\frac{\text{AE}}{\text{AC}} \)
Reason: If a line is parallel to one side of a triangle then it divides the other two sides in the same ratio.

1 Both assertion (A) and reason (R) are true and reason (R) isthe correct explanation of assertion (A).
2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 Assertion (A) is true but reason (R) is false.
4 Assertion (A) is false but reason (R) is true
TRIANGLES

90677 In \(\triangle\text{ABC}\sim\triangle\text{DEF} \) and the perimeters of \(\triangle\text{ABC} \) and \(\triangle\text{DEF} \) are 30cm and 18cm respectively. If BC = 9cm then EF =?

1 6.3cm
2 5.4cm
3 7.2cm
4 4.5cm
TRIANGLES

90678 In an equilateral triangle ABC if \(\text{AD}\perp\text{BC}, \) then AD\(^{2}\) =

1 CD\(^{2}\)
2 2CD\(^{2}\)
3 3CD\(^{2}\)
4 4CD\(^{2}\)
TRIANGLES

90679 It is given that \(\triangle\text{ABC}\sim\text{PQR} \), with \(\frac{\text{BC}}{\text{QR}}=\frac{1}{4} \) then, ar\(\frac{\text{ar}\text({\triangle{\text{PRQ}}})}{\text{ar}\text({\text{ABC}})} \) is equal to:

1 16
2 4
3 \(\frac{1}{4} \)
4 \(\frac{1}{16} \)