Question

draw a polygon with 3 angles and 2 equal sides.

Explanation:

Step1: Identify the polygon type

A polygon with 3 angles is a triangle (since a triangle has 3 angles and 3 sides). A triangle with 2 equal sides is an isosceles triangle.

Step2: Choose points on the dot grid

Select three points such that two sides are equal. For example, choose points \( A(2,1) \), \( B(3,3) \), \( C(4,1) \) (using a simple coordinate system for the dot grid, where the first number is the column and the second is the row, starting from the bottom - left). The distance between \( A \) and \( C \) can be calculated using the distance formula \( d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \). For \( A(2,1) \) and \( C(4,1) \), \( d = \sqrt{(4 - 2)^2+(1 - 1)^2}=\sqrt{4 + 0}=2 \). For \( A(2,1) \) and \( B(3,3) \), \( d=\sqrt{(3 - 2)^2+(3 - 1)^2}=\sqrt{1 + 4}=\sqrt{5} \). For \( B(3,3) \) and \( C(4,1) \), \( d=\sqrt{(4 - 3)^2+(1 - 3)^2}=\sqrt{1 + 4}=\sqrt{5} \). So \( AB = BC=\sqrt{5} \), and the triangle has 3 angles.

Step3: Draw the polygon

Connect the points \( A \), \( B \), and \( C \) with straight lines. This will form an isosceles triangle, which is a polygon with 3 angles and 2 equal sides.

Answer:

An isosceles triangle can be drawn on the dot - grid. For example, by connecting three points such that two of the sides have the same length (e.g., choosing three appropriate points from the dot - grid and drawing lines between them to form a triangle with two equal sides and three angles).