Question

name - moriah sanaa mclevanmrs wardmathematics5. what is the difference between the $delta$s? draw an image of each.equilateral $delta$isosceles $delta$right $delta$6. true or falsea vertex is the point where 2 or more lines intersect.a. trueb. false7. if a $delta$ has remote interior angles measuring $50^circ$ & $70^circ$ the exterior angle measures:a. $120^circ$b. $130^circ$c. $110^circ$d. $40^circ$8. a pair of angles formed when a transversal line intersects 2 || lines, they are on the outside of the || lines and on the opposite side of the transversal are called__.a. cab. aeac. complementary anglesd. aia9. what are the pairs of non-adjacent angles located on opposite sides of a line, inside the 2 || lines.a. cab. aiac. supplementary anglesd. vertical angles

Explanation:

Step1: Q5: Confirm triangle definitions

• Equilateral triangle: All 3 sides equal, all angles $60^\circ$.
• Isosceles triangle: At least 2 equal sides/angles.
• Right triangle: 1 angle = $90^\circ$.

Step2: Q6: Define vertex

A vertex is the intersection of 2+ lines.

Step3: Q7: Apply exterior angle theorem

Exterior angle = sum of remote interior angles: $50^\circ + 70^\circ = 120^\circ$

Step4: Q8: Identify angle pair

Angles outside parallel lines, opposite transversal sides: Alternate Exterior Angles (AEA).

Step5: Q9: Identify angle pair

Non-adjacent angles inside parallel lines, opposite transversal sides: Alternate Interior Angles (AIA).

Answer:

5.

• Equilateral Triangle: All sides and angles are equal; each angle measures $60^\circ$ (matches the drawn figure with 3 equal side marks).
• Isosceles Triangle: Has at least 2 equal sides and 2 equal angles (matches the drawn figure with 2 equal side marks).
• Right Triangle: Contains one $90^\circ$ right angle (marked with a square in the drawn figure).

1. a. True
2. a. $120^\circ$
3. b. AEA
4. b. AIA