Given: NM || PO and Angle 1 is congruent To angle 3 Prove: LM || NO

Given
Transitive property
Alternate interior angle theorem
Converse alternate interior angle theorem

i. LM || NO  (converse alternate interior angle theorem)

ii. <1 ≅ <2    (alternate interior angle theorem)

Step-by-step explanation:

Two or more lines are said to be parallel if they do not meet when extended, even till infinity.

Alternate angles are said to be equal in measure.

Given that;

<1 ≅ < 3,

Since <2 ≅ <3 (alternate interior angle theorem)

Then,

<1 ≅ <2 (transitive property)

Also,

<1 ≅ <2 (alternate interior angle theorem)

Therefore since <1 ≅ <2, thus;

LM || NO (converse alternate interior angle theorem)

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.

p

step-by-step explanation: