Question

State the postulate or theorem that justifies each statement.

$k\perp p$

Short answer

Theorem 3-4: If transversal is perpendicular to one of the parallel lines, then it is perpendicular to the other one also.

Step-by-step solution

Step 1. First observation from figure

Arrowheads are shown on lines $I$and $P$, so these lines are parallel

Step 2. Second observation from figure

Line $t$is transversal to the parallel lines $I$and$P$

Step 3. Third observation from figure

$k$is perpendicular $I$

Theorem 3-4: If transversal is perpendicular to one of the parallel lines, then it is perpendicular to the other one also.

$k\perp p$

Thus, theorem 3-4 justifies given statement.