65 Questions Lines And Angles worksheet class 7 with Answer

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Lines And Angles Class 7

lines and angles definition

Lines:

1. Line: A straight path that goes on forever in both directions.
2. Line Segment: A part of a line that has two endpoints and a definite length.
3. Ray: A part of a line that starts at one point and goes on forever in one direction.

Angles:

1. Angle: Made when two lines or rays meet at a point.
2. Complementary Angles: Two angles that add up to 90 degrees.
3. Supplementary Angles: Two angles that add up to 180 degrees.
4. Adjacent Angles: Angles that share one side and one vertex (corner point).
5. Linear Pair: Adjacent angles that add up to 180 degrees.
6. Vertically Opposite Angles: Angles opposite each other when two lines cross. These angles are always equal.

Relationships:

1. Parallel Lines: Lines that never meet and stay the same distance apart.

2. Transversal: A line that crosses other lines.

   • Corresponding Angles: Angles in the same spot on two lines cut by a transversal. They're equal if the lines are parallel.
   • Alternate Angles: Angles on opposite sides of the transversal but inside the parallel lines. They're equal if the lines are parallel.
   • Interior Angles on Same Side: Angles on the same side of the transversal but inside the parallel lines. They add up to 180 degrees if the lines are parallel.

Angles: Complementary and Supplementary

• When two angles add up to 90 degrees, they are called complementary.
• When two angles add up to 180 degrees, they are called supplementary.

Adjacent Angles

• These are angles that have the same starting point and share one side but don't overlap.

Linear Pair

• A linear pair is when two adjacent angles add up to 180 degrees.

Vertical Opposite Angles

• These angles are opposite each other when two lines cross. They are always equal.

Parallel Lines

• Lines that never meet are called parallel lines.

Transversal

• A line that cuts across two or more lines at different points is called a transversal.

Angles with Parallel Lines and Transversals

• Alternate angles are equal.
• Corresponding angles are equal.
• Interior angles on the same side of the transversal add up to 180 degrees.

Basic Shapes and Their Parts

Line

• A line goes on forever in both directions.

Ray

• A ray has one starting point and goes on forever in one direction.

Line Segment

• A line segment has two endpoints and a fixed length.

Angles

• An angle is formed by two rays or lines meeting at a point.

Types of Angles

• Less than 90 degrees: Acute Angle
• Exactly 90 degrees: Right Angle
• Between 90 and 180 degrees: Obtuse Angle
• Exactly 180 degrees: Straight Angle

Measuring Angles

• Angles are measured in degrees.
• A protractor can be used to measure angles.

More About Angles

• If a pair of corresponding or alternate angles are equal, or if the interior angles on the same side of a transversal add up to 180 degrees, the lines are parallel.

Triangle Basics

• All the angles in a triangle add up to 180 degrees.

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