THE TRIANGLE AND ITS PROPERTIES
THE TRIANGLE AND ITS PROPERTIES

298470 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): In triangles ABC and PQR, ∠A = ∠P, ∠C = ∠R and AC = PR. The two triangles are congruent by ASA congruence.
Reason (R): If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent.

1 Both A and R are true and R is the correct explanation of A.
2 Both A and R are true but R is not the correct explanation of A.
3 A is true but R is false.
4 A is false but R is true.
THE TRIANGLE AND ITS PROPERTIES

298368 In a triangle, one angle is of 90°. Then:
The other two angles are of 45° each.
In remaining two angles, one angle is 90° and other is 45°.
Remaining two angles are complementary.
In the given option(s) which is true?

1 (i) only
2 (ii) only
3 (iii) only
4 (i) and (ii)
THE TRIANGLE AND ITS PROPERTIES

298369 If the measures of the angles of a triangle are \((2\text{x}-5)^\circ,\Big(3\text{x}-\frac{1}{2}\Big)\) and \(\Big(30-\frac{\text{x}}{2}\Big)^\circ,\) then x =

1 \(\frac{311}{9}\)
2 \(\frac{309}{11}\)
3 \(\frac{310}{9}\)
4 \(\frac{301}{9}\)
THE TRIANGLE AND ITS PROPERTIES

298370 If p: The total measure of the three angles of a triangle is 180º and q: Sum of the length of any two sides of a triangle is less than the length of the third side, then which of the following options hold?

1 Both p and q are true
2 p is true and q is false
3 p is false and q is true
4 Both p and q are false
THE TRIANGLE AND ITS PROPERTIES

298470 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): In triangles ABC and PQR, ∠A = ∠P, ∠C = ∠R and AC = PR. The two triangles are congruent by ASA congruence.
Reason (R): If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent.

1 Both A and R are true and R is the correct explanation of A.
2 Both A and R are true but R is not the correct explanation of A.
3 A is true but R is false.
4 A is false but R is true.
THE TRIANGLE AND ITS PROPERTIES

298368 In a triangle, one angle is of 90°. Then:
The other two angles are of 45° each.
In remaining two angles, one angle is 90° and other is 45°.
Remaining two angles are complementary.
In the given option(s) which is true?

1 (i) only
2 (ii) only
3 (iii) only
4 (i) and (ii)
THE TRIANGLE AND ITS PROPERTIES

298369 If the measures of the angles of a triangle are \((2\text{x}-5)^\circ,\Big(3\text{x}-\frac{1}{2}\Big)\) and \(\Big(30-\frac{\text{x}}{2}\Big)^\circ,\) then x =

1 \(\frac{311}{9}\)
2 \(\frac{309}{11}\)
3 \(\frac{310}{9}\)
4 \(\frac{301}{9}\)
THE TRIANGLE AND ITS PROPERTIES

298370 If p: The total measure of the three angles of a triangle is 180º and q: Sum of the length of any two sides of a triangle is less than the length of the third side, then which of the following options hold?

1 Both p and q are true
2 p is true and q is false
3 p is false and q is true
4 Both p and q are false
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
THE TRIANGLE AND ITS PROPERTIES

298470 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): In triangles ABC and PQR, ∠A = ∠P, ∠C = ∠R and AC = PR. The two triangles are congruent by ASA congruence.
Reason (R): If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent.

1 Both A and R are true and R is the correct explanation of A.
2 Both A and R are true but R is not the correct explanation of A.
3 A is true but R is false.
4 A is false but R is true.
THE TRIANGLE AND ITS PROPERTIES

298368 In a triangle, one angle is of 90°. Then:
The other two angles are of 45° each.
In remaining two angles, one angle is 90° and other is 45°.
Remaining two angles are complementary.
In the given option(s) which is true?

1 (i) only
2 (ii) only
3 (iii) only
4 (i) and (ii)
THE TRIANGLE AND ITS PROPERTIES

298369 If the measures of the angles of a triangle are \((2\text{x}-5)^\circ,\Big(3\text{x}-\frac{1}{2}\Big)\) and \(\Big(30-\frac{\text{x}}{2}\Big)^\circ,\) then x =

1 \(\frac{311}{9}\)
2 \(\frac{309}{11}\)
3 \(\frac{310}{9}\)
4 \(\frac{301}{9}\)
THE TRIANGLE AND ITS PROPERTIES

298370 If p: The total measure of the three angles of a triangle is 180º and q: Sum of the length of any two sides of a triangle is less than the length of the third side, then which of the following options hold?

1 Both p and q are true
2 p is true and q is false
3 p is false and q is true
4 Both p and q are false
THE TRIANGLE AND ITS PROPERTIES

298470 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): In triangles ABC and PQR, ∠A = ∠P, ∠C = ∠R and AC = PR. The two triangles are congruent by ASA congruence.
Reason (R): If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent.

1 Both A and R are true and R is the correct explanation of A.
2 Both A and R are true but R is not the correct explanation of A.
3 A is true but R is false.
4 A is false but R is true.
THE TRIANGLE AND ITS PROPERTIES

298368 In a triangle, one angle is of 90°. Then:
The other two angles are of 45° each.
In remaining two angles, one angle is 90° and other is 45°.
Remaining two angles are complementary.
In the given option(s) which is true?

1 (i) only
2 (ii) only
3 (iii) only
4 (i) and (ii)
THE TRIANGLE AND ITS PROPERTIES

298369 If the measures of the angles of a triangle are \((2\text{x}-5)^\circ,\Big(3\text{x}-\frac{1}{2}\Big)\) and \(\Big(30-\frac{\text{x}}{2}\Big)^\circ,\) then x =

1 \(\frac{311}{9}\)
2 \(\frac{309}{11}\)
3 \(\frac{310}{9}\)
4 \(\frac{301}{9}\)
THE TRIANGLE AND ITS PROPERTIES

298370 If p: The total measure of the three angles of a triangle is 180º and q: Sum of the length of any two sides of a triangle is less than the length of the third side, then which of the following options hold?

1 Both p and q are true
2 p is true and q is false
3 p is false and q is true
4 Both p and q are false