Vedantu’s Constructions (Ex 11.1) RD Sharma Solutions- Free PDF
Free PDF download of RD Sharma Class 10 Solutions Chapter 11 - Constructions Exercise 11.1 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 11 - Constructions Ex 11.1 Questions with Solutions for RD Sharma to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.
Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Vedantu.com is No.1 Online Tutoring Company in India Provides you with a Free PDF download of Class 10 Maths NCERT Solutions solved by Expert Teachers as per NCERT (CBSE) Book guidelines. All Chapter wise Questions with Solutions to help you to revise the complete Syllabus and Score More marks in your examinations.
Class 10 has a special chapter for the construction of figures using geometrical tools. Some students find construction difficult and they should practice it the most. They can refer to RD Sharma for good questions. RD Sharma also has solved examples that help the children to understand the method and study the steps of construction. The construction should be neat and tidy to get the full marks.
Important Topics from Class 10 Construction
Class 10 Construction is a short chapter with some important topics. Those are-
Divisions of a line segment.
Construction of tangents to a circle.
Calculating the number of tangents from a point on a circle.
Drawing similar triangles on a given scale factor.
2 circles with the same radius are called congruent circles.
Equal chords are always equidistant from the centre of the circle.
The perpendicular bisector of a chord passes through the centre of the circle.
When 2 circles intersect, the line connecting the intersecting points will always be perpendicular to the line connecting their centre points.
Tangents are drawn at the points, where the diameter meets the circle, are always parallel to each other.
If 2 circles touch each other at exactly 1 point, they are called Tangent circles.
2. What are some properties of Tangent of a Circle?
A Tangent of a circle is defined as a line or plane that touches the curved surface of the circle at exactly 1 point. Some of its properties are-
A tangent touches a circle's curve at only 1 point.
The tangent is a line that never enters the interior of circles.
The tangent touches the circle’s radius and forms a right angle.
These are some properties of Tangents of a circle. To study more about circles, students can check video lectures by teachers of Vedantuwhere they break the topics into parts and help the kids to solve circle problems.
3. What are some properties of the triangles?
Triangles are 3-sided polygons. Some properties of triangles are-
Triangle has 3 sides, vertices, and angles.
The (ASP) Angle Sum Property of a triangle states that the sum of the 3 interior angles of a triangle is always 180°.
The Triangle inequality property states that the sum of the length of the 2 sides of a triangle is greater than the 3rd side.
The Pythagorean theorem, (in right angle triangle) states that the square of the hypotenuse is always equal to the sum of the squares of the other 2 sides(Hypotenuse² = Base² + Altitude²).
The side opposite the greater angle is always the longest.
4. What are the different types of Tringles?
A triangle is a closed polygon with 3 angles, sides, and vertices. triangles can be differentiated based on angles or based on the measurement of their sides. Based on angles, there are 3 types of triangles. Acute angle triangles are triangles with all the angles less than 90 degrees. Obtuse angle triangles are ones with one angle more than 90 degrees. Right angle triangles are triangles with one right angle. Based on sides, there are 3 types of triangles. The equilateral triangle is a triangle with all equal sides. Isosceles triangles are triangles with 2 sides equal. Scalene triangles are triangles with no side equal. These are different types of triangles.
Students can access free chapter-wise solutions and free access to other online resources on Vedantu to improve their learning in several folds.
5. What is a perpendicular bisector?
A Perpendicular Bisector is a line that divides a particular line segment into 2 exact halves forming right angles(90 degrees) at the intersection point. Perpendicular bisector always passes through the midpoint of a line segment. Students can construct a perpendicular bisector of a line segment using a compass and a ruler. It makes 90° angles on both sides of the line segment. Perpendicular bisectors of all the sides meet inside the triangle in an acute angle triangle, outside in the triangle in an obtuse triangle, and at the hypotenuse of the right-angle triangle.