Question

b
a pentagon with exactly
1 right angle and exactly
1 acute angle

Explanation:

Step1: Recall pentagon angle basics

Sum of interior angles of a pentagon: $(5-2)\times180^\circ = 540^\circ$. A right angle is $90^\circ$, an acute angle is $<90^\circ$.

Step2: Define points on dot grid

Label dot grid rows 1-5, columns 1-5 (top to bottom, left to right).

Step3: Plot vertices for the pentagon

Choose vertices:

1. (1,1): forms right angle with (1,2) and (2,1)
2. (1,3): connects to (1,1)
3. (3,5): creates acute angle with (1,3) and (5,5)
4. (5,5): connects to (3,5)
5. (2,1): connects back to (1,1)

Connect these points in order: (1,1) → (1,3) → (3,5) → (5,5) → (2,1) → (1,1)

• Right angle at (1,1): between horizontal (1,1)-(1,3) and vertical (1,1)-(2,1)
• Acute angle at (3,5): angle between (1,3)-(3,5) and (3,5)-(5,5) measures $<90^\circ$
• Remaining 3 angles are obtuse, satisfying "exactly 1 right, 1 acute"

Answer:

A pentagon meeting the requirements is formed by connecting the dot grid points in the order: (1,1) → (1,3) → (3,5) → (5,5) → (2,1) → (1,1)
Visual description:

• A right angle at the top-left dot (1,1)
• An acute angle at the dot in the third row, fifth column (3,5)
• The shape closes to form a 5-sided figure with only these one right and one acute angle.