298464
Triangle DEF of Figure. is a right triangle with \(\angle=90^{\circ}\). What type of angles are \(\angle\text{D}\) and \(\angle\text{F}\)? 9
1 They are equal angles.
2 They form a pair of adjacent angles.
3 They are complementary angles.
4 They are supplementary angles.
Explanation:
They are complementary angles. Since, \(?\text{D}\) and \(?\text{F}\) are complementary angles. In \(\triangle\text{DEF},\) \(?\text{D}+\angle\text{E}+\angle\text{F}=180^{\circ}\) [angle sum property of a triangle] \(\Rightarrow \ ?\text{D}+90^{\circ}+\angle\text{F}=180^{\circ}\)\([\because\angle\text{E}=90^{\circ},\text{given}]\) \(\Rightarrow \ ?\text{D}+\angle\text{F}=180^{\circ}-90^{\circ}\) \(\Rightarrow \ ?\text{D}+\angle\text{F}=90^{\circ}\) Note: Two angles whose measures add to 180° are known as supplementry angles and two angles whose measures add to 90° are known as complementary angles.
THE TRIANGLE AND ITS PROPERTIES
298465
A triangle whose all three sides are of different lengths is called..........
1 Isosceles triangle
2 Acute angled triangle
3 Equilateral triangle
4 Scalene triangle
Explanation:
Scalene triangle A triangle whose all three sides are of different lengths is called a scalene triangle.
THE TRIANGLE AND ITS PROPERTIES
298466
By which congruency criterion, the two triangles in Figure. are congruent? 0
1 RHS.
2 ASA.
3 SSS.
4 SAS.
Explanation:
SSS. S = a cm RQ = SQ = b cm PQ = PQ = Common line segment By SSS congruence criterion, \(\triangle\text{PQR}\cong\triangle\text{PQS}\)
THE TRIANGLE AND ITS PROPERTIES
298467
In an isosceles triangle, one angle is 70°. The other two angles are of: 55° and 55° 70° and 40° any measure In the given option(s) which of the above statement(s) are true?
1 (i) Only
2 (ii) Only
3 (iii) Only
4 (i) And (ii)
Explanation:
(i) And (ii) As we know, the sum of the interior angles of a triangles is 180°. According to the qustion, 70° +55° + 55° = 180° 1 According to the question, 70° + 70° + 40° = 180° Not possible, because two angles must be equal in an isosceles triangle. So, (i) and (ii) can be possible.
298464
Triangle DEF of Figure. is a right triangle with \(\angle=90^{\circ}\). What type of angles are \(\angle\text{D}\) and \(\angle\text{F}\)? 9
1 They are equal angles.
2 They form a pair of adjacent angles.
3 They are complementary angles.
4 They are supplementary angles.
Explanation:
They are complementary angles. Since, \(?\text{D}\) and \(?\text{F}\) are complementary angles. In \(\triangle\text{DEF},\) \(?\text{D}+\angle\text{E}+\angle\text{F}=180^{\circ}\) [angle sum property of a triangle] \(\Rightarrow \ ?\text{D}+90^{\circ}+\angle\text{F}=180^{\circ}\)\([\because\angle\text{E}=90^{\circ},\text{given}]\) \(\Rightarrow \ ?\text{D}+\angle\text{F}=180^{\circ}-90^{\circ}\) \(\Rightarrow \ ?\text{D}+\angle\text{F}=90^{\circ}\) Note: Two angles whose measures add to 180° are known as supplementry angles and two angles whose measures add to 90° are known as complementary angles.
THE TRIANGLE AND ITS PROPERTIES
298465
A triangle whose all three sides are of different lengths is called..........
1 Isosceles triangle
2 Acute angled triangle
3 Equilateral triangle
4 Scalene triangle
Explanation:
Scalene triangle A triangle whose all three sides are of different lengths is called a scalene triangle.
THE TRIANGLE AND ITS PROPERTIES
298466
By which congruency criterion, the two triangles in Figure. are congruent? 0
1 RHS.
2 ASA.
3 SSS.
4 SAS.
Explanation:
SSS. S = a cm RQ = SQ = b cm PQ = PQ = Common line segment By SSS congruence criterion, \(\triangle\text{PQR}\cong\triangle\text{PQS}\)
THE TRIANGLE AND ITS PROPERTIES
298467
In an isosceles triangle, one angle is 70°. The other two angles are of: 55° and 55° 70° and 40° any measure In the given option(s) which of the above statement(s) are true?
1 (i) Only
2 (ii) Only
3 (iii) Only
4 (i) And (ii)
Explanation:
(i) And (ii) As we know, the sum of the interior angles of a triangles is 180°. According to the qustion, 70° +55° + 55° = 180° 1 According to the question, 70° + 70° + 40° = 180° Not possible, because two angles must be equal in an isosceles triangle. So, (i) and (ii) can be possible.
298464
Triangle DEF of Figure. is a right triangle with \(\angle=90^{\circ}\). What type of angles are \(\angle\text{D}\) and \(\angle\text{F}\)? 9
1 They are equal angles.
2 They form a pair of adjacent angles.
3 They are complementary angles.
4 They are supplementary angles.
Explanation:
They are complementary angles. Since, \(?\text{D}\) and \(?\text{F}\) are complementary angles. In \(\triangle\text{DEF},\) \(?\text{D}+\angle\text{E}+\angle\text{F}=180^{\circ}\) [angle sum property of a triangle] \(\Rightarrow \ ?\text{D}+90^{\circ}+\angle\text{F}=180^{\circ}\)\([\because\angle\text{E}=90^{\circ},\text{given}]\) \(\Rightarrow \ ?\text{D}+\angle\text{F}=180^{\circ}-90^{\circ}\) \(\Rightarrow \ ?\text{D}+\angle\text{F}=90^{\circ}\) Note: Two angles whose measures add to 180° are known as supplementry angles and two angles whose measures add to 90° are known as complementary angles.
THE TRIANGLE AND ITS PROPERTIES
298465
A triangle whose all three sides are of different lengths is called..........
1 Isosceles triangle
2 Acute angled triangle
3 Equilateral triangle
4 Scalene triangle
Explanation:
Scalene triangle A triangle whose all three sides are of different lengths is called a scalene triangle.
THE TRIANGLE AND ITS PROPERTIES
298466
By which congruency criterion, the two triangles in Figure. are congruent? 0
1 RHS.
2 ASA.
3 SSS.
4 SAS.
Explanation:
SSS. S = a cm RQ = SQ = b cm PQ = PQ = Common line segment By SSS congruence criterion, \(\triangle\text{PQR}\cong\triangle\text{PQS}\)
THE TRIANGLE AND ITS PROPERTIES
298467
In an isosceles triangle, one angle is 70°. The other two angles are of: 55° and 55° 70° and 40° any measure In the given option(s) which of the above statement(s) are true?
1 (i) Only
2 (ii) Only
3 (iii) Only
4 (i) And (ii)
Explanation:
(i) And (ii) As we know, the sum of the interior angles of a triangles is 180°. According to the qustion, 70° +55° + 55° = 180° 1 According to the question, 70° + 70° + 40° = 180° Not possible, because two angles must be equal in an isosceles triangle. So, (i) and (ii) can be possible.
298464
Triangle DEF of Figure. is a right triangle with \(\angle=90^{\circ}\). What type of angles are \(\angle\text{D}\) and \(\angle\text{F}\)? 9
1 They are equal angles.
2 They form a pair of adjacent angles.
3 They are complementary angles.
4 They are supplementary angles.
Explanation:
They are complementary angles. Since, \(?\text{D}\) and \(?\text{F}\) are complementary angles. In \(\triangle\text{DEF},\) \(?\text{D}+\angle\text{E}+\angle\text{F}=180^{\circ}\) [angle sum property of a triangle] \(\Rightarrow \ ?\text{D}+90^{\circ}+\angle\text{F}=180^{\circ}\)\([\because\angle\text{E}=90^{\circ},\text{given}]\) \(\Rightarrow \ ?\text{D}+\angle\text{F}=180^{\circ}-90^{\circ}\) \(\Rightarrow \ ?\text{D}+\angle\text{F}=90^{\circ}\) Note: Two angles whose measures add to 180° are known as supplementry angles and two angles whose measures add to 90° are known as complementary angles.
THE TRIANGLE AND ITS PROPERTIES
298465
A triangle whose all three sides are of different lengths is called..........
1 Isosceles triangle
2 Acute angled triangle
3 Equilateral triangle
4 Scalene triangle
Explanation:
Scalene triangle A triangle whose all three sides are of different lengths is called a scalene triangle.
THE TRIANGLE AND ITS PROPERTIES
298466
By which congruency criterion, the two triangles in Figure. are congruent? 0
1 RHS.
2 ASA.
3 SSS.
4 SAS.
Explanation:
SSS. S = a cm RQ = SQ = b cm PQ = PQ = Common line segment By SSS congruence criterion, \(\triangle\text{PQR}\cong\triangle\text{PQS}\)
THE TRIANGLE AND ITS PROPERTIES
298467
In an isosceles triangle, one angle is 70°. The other two angles are of: 55° and 55° 70° and 40° any measure In the given option(s) which of the above statement(s) are true?
1 (i) Only
2 (ii) Only
3 (iii) Only
4 (i) And (ii)
Explanation:
(i) And (ii) As we know, the sum of the interior angles of a triangles is 180°. According to the qustion, 70° +55° + 55° = 180° 1 According to the question, 70° + 70° + 40° = 180° Not possible, because two angles must be equal in an isosceles triangle. So, (i) and (ii) can be possible.
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