Fifth graders push polygon reasoning into multi-step territory. Multiple-choice items ask for the interior angle sum of a hexagon (720°), the side count of a regular polygon with 135° interior angles, and the missing fifth angle in a pentagon when four are given as 100°, 110°, 120°, and 95°.
Fill-in work targets the 144° interior angle of a regular decagon, the 360° exterior-angle rule that holds for every convex polygon, and the count of triangles formed by diagonals from one vertex of a hexagon. By the end, you are running the angle formulas forward and backward — exactly the flexibility middle school geometry expects.
Style:
Classifying 2D Shapes
Part A: Multiple Choice
Circle the best answer for each question.
1. What is the sum of interior angles in a hexagon?
A) 540°
B) 720°
C) 900°
D) 1080°
2. A regular polygon has each interior angle measuring 135°. How many sides does it have?
A) 6
B) 7
C) 8
D) 10
3. Which of these shapes always has perpendicular diagonals?
A) Rectangle
B) Parallelogram
C) Rhombus
D) Trapezoid
4. A convex polygon has 5 sides. One of its angles is missing. The other four angles are 100°, 110°, 120°, and 95°. What is the missing angle?
A) 105°
B) 115°
C) 125°
D) 135°
Part B: Fill in the Blank
Write the correct answer on each line.
1. Each interior angle of a regular decagon measures 144 degrees.
2. A polygon with all sides and all angles equal is called a regular polygon.
3. The number of triangles formed by drawing all diagonals from one vertex of a hexagon is 4.
4. A regular pentagon has interior angles of 108° each and 5 lines of symmetry.
5. The sum of exterior angles of any convex polygon is always 360 degrees.
Classifying 2D Shapes
★ Part A: Multiple Choice
Circle the best answer for each question.
1. What is the sum of interior angles in a hexagon?
A) 540°
B) 720°
C) 900°
D) 1080°
2. A regular polygon has each interior angle measuring 135°. How many sides does it have?
A) 6
B) 7
C) 8
D) 10
3. Which of these shapes always has perpendicular diagonals?
A) Rectangle
B) Parallelogram
C) Rhombus
D) Trapezoid
4. A convex polygon has 5 sides. One of its angles is missing. The other four angles are 100°, 110°, 120°, and 95°. What is the missing angle?
A) 105°
B) 115°
C) 125°
D) 135°
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) Each interior angle of a regular decagon measures 144 degrees.
2) A polygon with all sides and all angles equal is called a regular polygon.
3) The number of triangles formed by drawing all diagonals from one vertex of a hexagon is 4.
4) A regular pentagon has interior angles of 108° each and 5 lines of symmetry.
5) The sum of exterior angles of any convex polygon is always 360 degrees.
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9 Questions
12-18 minutes
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