Practical Geometry class 6 - Notes, MCQs, Mindmap and Extra Questions
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Practical geometry class 6 important questions for revision
Define the following terms: a) Point b) Line segment c) Ray d) Angle
What are the different types of angles? Provide examples for each.
Explain the concept of parallel lines and give an example from daily life.
Describe the process of constructing a line segment of a given length using a ruler and compass.
How can you bisect a line segment? Explain the steps involved in the process.
What are the steps to construct an angle of a given measure using a protractor?
How do you bisect an angle using a compass and a ruler? Explain the procedure step-by-step.
Define perpendicular lines and provide an example.
Explain the process of constructing a perpendicular bisector of a line segment using a compass and ruler.
How can you construct a pair of parallel lines using a ruler and compass?
Describe the steps to draw a triangle given the lengths of its three sides (SSS construction).
Explain how to construct a triangle when two sides and the included angle are given (SAS construction).
Describe the process of constructing a triangle when two angles and the included side are given (ASA construction).
Define the term "congruent triangles" and explain the conditions for triangles to be congruent.
What is the difference between similar and congruent triangles? Provide examples for each.
FAQs
Practical geometry is the study of constructing geometrical figures, such as lines, angles, and shapes, using tools like a compass, ruler, and protractor. It helps students understand the basic concepts of geometry and the relationships between different geometric elements.
The basic tools used in practical geometry are: a) Ruler (for measuring and drawing line segments) b) Compass (for drawing arcs and circles) c) Protractor (for measuring and constructing angles)
The different types of angles are: a) Acute angle (less than 90 degrees) b) Right angle (exactly 90 degrees) c) Obtuse angle (between 90 and 180 degrees) d) Straight angle (exactly 180 degrees) e) Reflex angle (between 180 and 360 degrees) f) Complete angle (exactly 360 degrees)
To bisect a line segment, follow these steps: a) Place the compass point on one end of the line segment and draw an arc above and below the line segment. b) Without changing the compass width, place the compass point on the other end of the line segment and draw another set of arcs intersecting the previous ones. c) Draw a line through the points of intersection of the arcs. This line is the perpendicular bisector, and it divides the line segment into two equal parts.
To construct a pair of parallel lines, follow these steps: a) Draw a line segment and a point not on the line segment. b) Construct a line through the given point, perpendicular to the given line segment. c) Construct the perpendicular bisector of the new line segment formed between the given point and the point where the perpendicular line intersects the given line segment. d) The line segment formed by the intersection of the perpendicular bisector and the given line segment will be parallel to the original line.
There are three main ways to construct a triangle: a) SSS (Side-Side-Side) construction: Given the lengths of all three sides. b) SAS (Side-Angle-Side) construction: Given the lengths of two sides and the measure of the included angle. c) ASA (Angle-Side-Angle) construction: Given the measures of two angles and the length of the included side.
Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal. If two triangles are congruent, they can be superimposed on each other to coincide perfectly.
Similar triangles have the same shape but may not be the same size. Their corresponding angles are equal, and their corresponding sides are proportional. Congruent triangles, on the other hand, have the same size and shape, meaning their corresponding sides and angles are equal.
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