Question

put the shapes in the venn diagram.

has exactly six vertices has at least one right angle

Explanation:

To solve this, we analyze each shape:

Step 1: Identify vertices and right angles

• First shape (purple hexagon with two right angles): 6 vertices, ≥1 right angle → Overlap (both categories).
• Second shape (purple rectangle): 4 vertices, ≥1 right angle → Only "has at least one right angle".
• Third shape (red hexagon with two right angles): 6 vertices, ≥1 right angle → Overlap (both categories).
• Fourth shape (blue regular hexagon): 6 vertices, 0 right angles → Only "has exactly six vertices".

Step 2: Assign to Venn diagram regions

• Only "has exactly six vertices": Blue regular hexagon (6 vertices, no right angles).
• Only "has at least one right angle": Purple rectangle (4 vertices, right angles).
• Overlap (both): Purple hexagon (2 right angles, 6 vertices), Red hexagon (2 right angles, 6 vertices).

Answer:

• Only "has exactly six vertices": Blue regular hexagon.
• Only "has at least one right angle": Purple rectangle.
• Overlap (both): Purple hexagon, Red hexagon.

(Visually, place the blue hexagon in the left circle, the purple rectangle in the right circle, and the purple/red hexagons in the overlapping region.)