2. Ray
Line
Intersecting Lines
Parallel Lines
Line Segment

3. RAY: A part of a line, with one endpoint, that
continues without end in one direction
LINE: A straight path extending in both directions
with no endpoints
LINE SEGMENT: A part of a line that includes two
points, called endpoints, andall the points between
them

4. INTERSECTING LINE: The two lines in the same plane
are not parallel, they will intersect at a common point.
Those lines are intersecting lines. Here C is the common
point of AE and DB

5. PARALLEL LINES: Lines that never cross and are
always the same distance apart

6. Perpendicular Lines
Two lines that intersect to form a right angles

7. Right Angle:
An angle that
forms a square
corner
Acute Angle:
An angle less
than a right
angle
Obtuse Angle:
An angle
greater than a
right angle

8. Straight Angle: It is equal to 180°
Reflex Angle: An angle which is more than 180° but
less than 360°

9. Complementary Angles: Two angles adding up to
90° are called complementary angles.
Here ABD + DBC are
Complementary.

10. Supplementary Angles: Two angles adding up to
180° are called supplementary.
ABD + DBC are supplementary

11. Transversal: A Transversal is a line that
intersect two parallel lines at different points.

12. Vertical Angles: Two angles that are opposite
angles
1 2
3 4
5 6
7 8
t
∠1 ≅ ∠ 4
∠2 ≅ ∠ 3
∠5 ≅ ∠ 8
∠6 ≅ ∠ 7

13. Linear Pair: Two angles that form a line
(sum=180°)
1 2
3 4
5 6
7 8
t
∠5+∠6=180
∠6+∠8=180
∠8+∠7=180
∠7+∠5=180
∠1+∠2=180
∠2+∠4=180
∠4+∠3=180
∠3+∠1=180

14. Corresponding Angles: Two angles that occupy
corresponding positions are equal.
∠1 ≅ ∠ 5
∠2 ≅ ∠ 6
∠3 ≅ ∠ 7
∠4 ≅ ∠ 8
t
1 2
3 4
5 6
7 8

15. Alternate Interior Angles: Two angles that lie
between parallel lines on opposite side.
∠3 ≅ ∠ 6
∠4 ≅ ∠ 5
1 2
3 4
5 6
7 8

16. Co-Interior Angles: Two angles that lie between
parallel lines on the same side of the transversal
1 2
3 4
5 6
7 8
3 +∠5 = 180
4 +∠6 = 180

17. Alternate Exterior Angles: Two angles that lie
outside parallel lines on opposite sides of the
transversal
1 2
3 4
5 6
7 8
2 ≅ ∠ 7
1 ≅ ∠ 8

18. Angle Sum Property Of Triangle: The sum of the
angles of a triangle is 180°.
1
23
1 + 2 + 3 = 180°

19. Property of Exterior Angle: If a side of a triangle is
produced, then the exterior angle so formed is equal to the
sum of the two interior opposite angles.
Angle 1,2,3
are exterior
angles of
triangle

20. • Vertically Opposite Angles are equal
To Proof – Vertically Opposite Angles are equal

21. Solution - ∠b + ∠n = 180° ( LINEAR PAIR)
∠b + ∠m = 180° ( LINEAR PAIR)
EQUATING BOTH THE EQUATIONS
→ ∠b + ∠n = ∠b + ∠m
→ ∠n = ∠m
Hence Proved

22. • Angle Sum Property Of A Triangle is 180°
To Proof -Angle Sum Property Of a Triangle is
180°
Construction - Draw ↔m parallel to BC
Solution - ∠4 = ∠1 (Alternate Interior Angles)
∠5 = ∠2 (Alternate Interior Angles)

23. ∠3 + ∠4 + ∠5 = 180° ( Angles on the same line are
supplementary)
Substituting the values
∠3 + ∠1 + ∠2 = 180° (Angle Sum Property)
Hence Proved

24. Made by:
Shaik Mallika