South Breeze School
Mathematics
Class VII
Angles and Triangles
Topic 1: Angles
1.1 Angles in Geometry
1.2 Angles in Group
1.3 Angles in a parallel line
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Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on
opposite sides of the transversal.
Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on
opposite sides of the transversal.
Vertical Angles are pair of opposite angles formed by two intersecting lines.
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Corresponding Angles are the angles which occupy the same relative position at each
intersection where a straight line crosses two others. If the two lines are parallel, the
corresponding angles are equal.
1.4 Angles Constructions
Topic 2: Triangles
2.1 Types of Triangle
2.2 Different formulas to find a rea of a triangle
2.3 Pythagorean Theorem
Pythagorean Theorem states that
In any right triangle, the sum of the squared lengths of the two legs is equal to the squared length of the
hypotenuse. Pythagorean Theorem only works for right triangles.