Question

in 4 and 5, make a conjecture based on the given information. draw a figure to illustrate your conjecture. 4. ∠abc is a right angle. 5. point p is the mid - point of nq.

Explanation:

Step1: Analyze right - angle conjecture

A right - angle measures 90 degrees. We can conjecture that the two non - hypotenuse sides of the right - triangle formed by ∠ABC are perpendicular to each other.

Step2: Analyze mid - point conjecture

If point P is the mid - point of $\overline{NQ}$, we can conjecture that $NP = PQ$ and that P divides $\overline{NQ}$ into two equal segments.

Answer:

Conjecture for 4: The two sides forming ∠ABC are perpendicular.
Conjecture for 5: $NP = PQ$ and P divides $\overline{NQ}$ into two equal parts.