2-D shapes (Triangles, quadrilaterals, pentagons, hexagons and circles)：練習問題

Which of the following shapes has the fewest number of straight sides?

A 2-D shape is made by placing a triangle on top of a quadrilateral so that they share one full side. How many sides does the new combined shape have?

Consider a 2-D shape formed by joining two identical equilateral triangles such that they share one full side. If a circle is then drawn so that its circumference passes through all the vertices of this new combined shape, which of the following statements is true?

Which of the following 2-D shapes has exactly six sides and six vertices?
A. Triangle
B. Quadrilateral
C. Pentagon
D. Hexagon

In the diagram below, there is a 2-D shape with vertices labeled \(A\), \(B\), \(C\), and \(D\). The shape has exactly 4 sides. If all 4 sides are equal in length and all 4 angles are right angles, what is the specific name for shape \(ABCD\)?

State the number of sides and the number of vertices for a quadrilateral.

How many more sides does a hexagon have than a triangle?

If you divide a regular hexagon into several triangles by drawing lines from one vertex to all other non-adjacent vertices, what is the minimum number of triangles you will create?

A particular 2-D shape is perfectly round and can roll easily along a flat surface.
a) What is the mathematical name of this shape?
b) Explain how many vertices this shape has and why.

Three different shapes are placed on a table: a triangle, a quadrilateral, and a hexagon.
a) Arrange the names of these shapes in order, starting with the one that has the most sides.
b) If you have two quadrilaterals, how many vertices are there in total?
c) Which of the three shapes on the table has exactly twice as many vertices as a triangle?