Question

an exterior angle of a regular polygon cannot have the measure
select one:
a. 120
b. 50
c. 30
d. 40
e. 90

moving an image to the right is called a
select one:
a. rotation
b. translation
c. reflection

Explanation:

First Question

Step1: Recall exterior angle rule

The sum of exterior angles of any regular polygon is $360^\circ$. For a regular polygon, the number of sides $n = \frac{360^\circ}{\text{measure of one exterior angle}}$, and $n$ must be a positive integer.

Step2: Test each option

• For a. 120: $n = \frac{360}{120} = 3$ (valid, triangle)
• For b. 50: $n = \frac{360}{50} = 7.2$ (not integer, invalid)
• For c. 30: $n = \frac{360}{30} = 12$ (valid, 12-gon)
• For d. 40: $n = \frac{360}{40} = 9$ (valid, nonagon)
• For e. 90: $n = \frac{360}{90} = 4$ (valid, square)

Rotation involves turning an image around a fixed point, reflection flips an image over a line, while translation is the rigid movement of an image along a straight path (like right/left/up/down) without rotation or reflection.

Answer:

b. 50

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Second Question