transversal line

GEOMETRY

Angles in daily life

If we look around us, we will see angles everywhere

Also called an aerial, an antenna is a conductor that can transmit, send and receive signals such as microwave, radio or satellite signals. A high-gain antenna increases signal strength, where a low-gain antenna receives or transmits over a wide angle.

transversal

The parallel lines also have a transversal cutting through it. The picture is part of stair railings.

This is a picture of the Colosseum which is located in Rome, Italy. It was essentially a sports arena back when it was first built. They also have a transversal running through it.

A Line That Intersects two Or MoreLines At Different Points Is

Called A Transversal

31

7

2 4

865

X // y

x

y

31

7

2 4

865

x

y

Interior Angles

31

7

2 4

865

x

y

Exterior Angles

2 4

65x

y

Alternate interior Angles

1 3

78

x

y

Alternate exterior Angles

2 4

65x

y

Interior Angles on the same side of transversal

1 3

78

x

y

Exterior Angles on the same side of

transversal

31

7

2 4

865

x

y

Corresponding Angles

If 2 Parallel Lines Are Cut By A Transversal Then:

Corresponding Angles Are Congruent

Alternate Interior/ exterior angles are congruent

Interior/exterior angle on the same side of transversal are congruent

11 12

13 14

15 1617 18

Name The Angles

1. 11 and 152. 12 and 163. 13 and 164. 12 and 185. 14 and 166. 14 and 187. 11 and 148. 15 and 17

1.Corresponding2.Corresponding3.Alt Interior4.Exterior angles on the same side of t.5.Interior angles on the same side of t6.Corresponding7.Vertical Angles8.Linear Pair

GIVEN: a // b m ∟1 = 105

1 23 4

5 67 8

a

b

Find:1. ∟3 = 2. ∟6 =3. ∟7 =4. ∟4 =5. ∟5 =