Question

determine whether each statement can or cannot be assumed from the figure.

1. ∠mtr and ∠ntp are vertical angles. select choice
2. ∠ntp and ∠ptr are supplementary. select choice
3. ∠qtr≅∠ptm select choice
4. ∠qtp is a right angle. select choice

Explanation:

Step1: Check vertical angles

∠MTR and ∠NTP: Not opposite intersecting lines.

Step2: Check supplementary angles

∠NTP and ∠PTR: Form linear pair (straight line RTN).

Step3: Check congruent angles

∠QTR ≅ ∠PTM: No congruence marks/vertical relation.

Step4: Check right angle

∠QTP: No right angle symbol in figure.

Answer:

1. Cannot be assumed
2. Can be assumed
3. Cannot be assumed
4. Cannot be assumed