Given : angle 1 is congruent to angle 2 . prove : p || q

Step-by-step explanation:

Given : ∠1 ≅ ∠2

To prove : p║q

Solution :

In the figure attached,

                Statements                 Reasons

1). m∠1 ≅ m∠2                      1). Given

2) m∠1 ≅ m∠3                      2). Vertical angles

3) m∠2 ≅ m∠3                     3). Transitive property of congruence of the                                                     angles

4). Line p║q                         4). Corresponding angles are equal                                                                                     (m∠2 ≅ m∠3)

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl