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Published on: 18/06/2021
QB365 provides detailed and simple solution for every book back questions in class 6 Maths subject.It will helps to get more idea about question pattern in every book back questions with solution.
Download Tamil Nadu 6th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
Study the given figure and identify the following triangles.
(a) equilateral triangle
(b) isosceles triangles
(c) scalene triangles
(d) acute triangles
(e) obtuse triangles
(f) right triangles
2.
Draw a line and mark a point R at a distance of 4.8 cm above the line. Through R draw a line parallel to the given line.
3.
Construct a line perpendicular to the given line through a point above it.
4.
Using the given information, write the type of triangle in the table given below
| S.No. | \(\angle \)1 | \(\angle \)2 | \(\angle \)3 | Type of triangle based on angles | Type of triangle based on sides |
| i. | 60° | 40° | 80° | Acute angled triangle. | Scalene Triangle |
| ii. | 50° | 50° | 80° | ||
| iii. | 45° | 45° | 90° | ||
| iv. | 55° | 45° | 80° | ||
| v. | 75° | 35° | 70° | ||
| vi. | 60° | 30° | 90° | ||
| vii. | 25° | 64° | 91° | ||
| viii. | 120° | 30° | 30° |
5.
Can a triangle be formed with the following angles? If yes, name the type of triangle.
(i) 60°, 60°, 60°
(ii) 90°, 55°, 35°
(iii) 60°, 40°, 42°
(iv) 60°, 90°, 90°
(v) 70°, 60°, 50°
(vi) 100°, 50°, 30°
1.
(a) Equilateral Triangle :
ABC (AB = BC = CA = 4 cm)
(b) Isoceles Triangles :
ABC,AEF
(c) Scalene Triangles :
AEB, AED, ADF, AFC, ABD, ADC, ABF, AEC
(d) Acute Triangles :
ABC, AEF, ABF, AEC
(e) Obtuse Triangles :
AEB, AFC
(f) Right Triangles :
ADB, ADC, ADE, ADF
2.
| Step 1: Using a scale draw a line AB and mark a point Q on the line. | |
| Step 2: Place the set square in such a way that the vertex of the right angle coincides with Q and one of the edges of right angle lies along AB. Mark the point R such that QR = 4.8 cm. | |
| Step 3: Place the scale and the set square as shown in the figure. | |
| Step 4: Hold the scale firmly and slide the set square along the edge of the scale until the other edge touches the point R. Draw a line RS through R. | |
| Step 5: The line RS is parallel to AB. That is, RS ║AB. |
3.
| Step 1: Draw a line PQ. Take a point X anywhere above the line PQ. | |
| Step 2: Place one of the arms of the right angle of a set square along the line PQ and the other arm of its right angle touches the point X. | |
| Step 3: Draw a line through the point X meeting PQ at Y. | |
| Step 4: The line XY is perpendicular to the line PQ at Y. That is, XY \(\bot \) PQ |
4.
| S.No. | \(\angle \)1 | \(\angle \)2 | \(\angle \)3 | Type of triangle based on angles | Type of triangle based on sides |
| i. | 60° | 40° | 80° | Acute angled triangle | Scalene Triangle |
| ii. | 50° | 50° | 80° | Acute angled triangle | Isoceles Triangle |
| iii. | 45° | 45° | 90° | Right angled triangle | Isoceles Triangle |
| iv. | 55° | 45° | 80° | Acute angled triangle | Scalene Triangle |
| v. | 75° | 35° | 70° | Acute angled triangle | Scalene Triangle |
| vi. | 60° | 30° | 90° | Right angled triangle | Scalene Triangle |
| vii. | 25° | 64° | 91° | Obtuse angled triangle | Scalene Triangle |
| viii. | 120° | 30° | 30° | Obtuse angled triangle | Isoceles Triangle |
5.
(i) 60°, 60°, 60°
The sum of the three angles of a triangle = 180°
Sum of three angles = 60° + 60° + 60° = 180° degrees
Yes, a triangle can be formed.
Type: Acute angled triangle.
(ii) 90°, 55°, 35°
The sum of three angles of a triangle = 90° + 55° + 35° = 180°
Yes, a triangle can be formed.
Type: Right angled triangle.
(iii) 60°, 40°, 42°
The sum of three angles of a triangle = 180°
Sum of the angles = 60° + 40° + 42° = 142°
No a triangle cannot be formed.
(iv) 60°, 90°, 90°
The sum of three angles of a triangle = 180°
Sum of the angles = 60° + 90° + 90°
= 240° \(\neq\) 180°
No a triangle cannot be formed.
(v) 70°, 60°, 50°
The sum of three angles of a triangle = 180°
Sum of the angles = 70° + 60° + 50° = 180° = 180° .
Yes, a triangle can be formed.
Type: Acute angled triangle.
(vi) 100°, 50°, 30°
The sum of three angles of a triangle = 180°
Sum of the angles = 100° + 50° + 30°
= 180° = 180°
Yes, a triangle cannot be formed.
Type: Obtuse angled triangle
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Tamilnadu Stateboard 6th Standard Subjects
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