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NCERT Solutions for Class 10 Maths Exercise Chapter 6- triangles
Class 10 Maths - Basic vs Standard. Sample Papers Class 10 Solution. Sample Papers Class 12 Solution. CBSE Datesheet Boards. CBSE Previous Year Papers.� Get NCERT Solutions of Chapter 6 Class 10 Triangles free at teachoo. Solutions to all NCERT Exercise Questions, Examples, Theorems, Optional Exercises are available with Videos of each and every question. We have studied Congruency of Triangles in Class 9. Class 10 Maths MCQs for Chapter 6 (Triangles) are now available at BYJU�S for students preparing for board exams. Solve these problems and score well in the examination.� Class 10 Maths Chapter 6 Triangles MCQs. Class 10 Maths Chapter 6 (Triangles) MCQs are provided here online for students, who are preparing for the board exam, along with their answers. The objective questions are as per the latest CBSE syllabus and NCERT curriculum. These multiple-choice questions for triangles are presented here with detailed explanations, by which students can easily score good marks. This whole video is enough to learn this full chapter. Watch this video till end and learn all the concept, questions, theorems etc. Ask your doubts in comment box.

Using the definition of similarity prove that all the isosceles right angled triangles are similar. Therefore, all the isosceles right angled triangles are similar. All congruent triangles are similar. All similar triangles are congruent. Solution :. Given statement is false.

For equilateral triangles, all the six correspondences are similarity. But in triangles other than equilateral triangles, the measures of all the angles are not same. Hence, any one of the angles of the first triangle cannot be congruent to all the angles of the second triangle.

Given statement is true. Congruent triangles are equal with respect to size and shape, while for triangles to be similar, it is sufficient that their shapes are same. Similar triangles are equal in shape but not in size. For triangles to be congruent, they must be equal in both, shape as well as size. Hence, all similar triangles are not congruent. Question 10 1 :. Solution : d. Solution : b.

Fill in the Ch 10 Maths Class 10 Theorems Mod blanks shown in the table :. A line m passing through D and parallel to intersects in K. A line parallel to and passing through X intersects in Y. A line parallel to and passing through Y intersects in Z.

Prove that. A line passing through X and parallel to intersects in Y. A line passing through X and parallel to intersects in Z. State giving reasons, whether the following statements are True or false : In all the following questions the line does not contain a side of the triangle. A line can be drawn in the plane of a triangle not intersecting any of the sides of a triangle. A line can be drawn in the plane of a triangle which is not passing through any of the three vertices and intersecting all the three sides of the triangle.

If a line drawn in the plane of a triangle intersects the triangle at only one point, the line passes through a vertex of the triangle. If a line intersects two of the three sides of a triangle in two distinct points and does not intersect the third side, then the line is parallel to the third side. The given statement is true. Reason: For a line in the plane of a triangle, there are three possibilities: i.

The line does not intersect the triangle. The line intersects the triangle at one point iii. The line intersects the triangle at two points. According to the first possibility, the given statement is true.

The given statement is false. Reason: According to theorem 6. Thus, a line not passing through a vertex of a triangle cannot intersect all the three sides. Reason: A line intersecting a triangle and not passing through any vertex will intersect the triangle at two points. The given statement is false Reason: If a line intersects two sides of a triangle and does not intersect the third side, it can intersect Ch 10 Maths Class 9 Theorems Dates the line containing the third side.

Correct Ch 10 Maths Class 10 Theorems Guide Answer: The given statement is true. Prove that X, Y, Z are the mid-points of , , respectively. Two triangles are similar. Prove that if sides in one pair of corresponding sides are congruent, then the triangles are congruent. A line passing through P and parallel to intersects in Q. Two similar triangles can have the same area.

If triangles are congruent, then they are similar and have the same area. AAA criterion of similarity of triangles can not be the criterion for congruence of triangles. SAS criterion for congruence of triangles can not be a criterion for similarity of triangles. Two congruent triangles have the same area. Two similar triangles always have the same area. Area of similar triangles are proportional to the squares of measures of their corresponding angles.

Reason: By the AAA criterion, we get the shape of the triangles equal but, for congruence of triangles their size also must be equal. Reason: SAS criterion is also a criterion for similarity. But, for congruence, the corresponding sides should be congruent while for similarity, the corresponding sides must be proportionate.

Reason: The shape and size area of two congruent triangles is equal. For a closed geometric figure, its size represents its area. Reason: The shape of two similar triangles is equal but their sizes areas are not equal. Reason: The areas of similar triangles are proportional to the squares of their corresponding sides. The measures of corresponding angles of two similar triangles are always equal.

Question Areas of two similar triangles are 25 and The ratio of the perimeters of the triangles Is ���.. ABCD is trapezium in which. The diagonals intersect in P. Solution : c. You are commenting using your WordPress. You are commenting using your Google account. You are commenting using your Twitter account. You are commenting using your Facebook account. Notify me of new comments via email. Notify me of new posts via email. Skip to content. If , find and Solution : Ch 6 Maths Class 10 Theorems Ltd Question 7: Using the definition of similarity prove that all the isosceles right angled triangles are similar.

Solution : Question 9: State whether the following statements are true or false. Solution : Given statement is false. Question 10 1 : Solution : d. Fill in the blanks shown in the table : Solution : No. If , prove that. Solution : Question 7: State giving reasons, whether the following statements are True or false : In all the following questions the line does not contain a side of the triangle.

Prove that the line bisects. Solution : Question Two triangles are similar. Solution : Question 3: Can two similar triangles have same area? If yes, in which case they have the same area? Solution : Yes. Solution : Question 5: Explain with reasons, whether the following statements are true or false : AAA criterion of similarity of triangles can not be the criterion for congruence of triangles.

Solution : The given statement is true. Solution : Question 6 4 : Areas of two similar triangles are 25 and Share this: Twitter Facebook. Like this: Like Loading Previous Post Ch 7. Next Post Ch 5. Leave a Reply Cancel reply Enter your comment here Fill in your details below or click an icon to log in:. Email required Address never made public.

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