Grades 5-6 Video Solutions 2023-2023_1-2

Video Transcription

Question 3. Which of the following shapes cannot be divided into two triangles by a single straight line?  Let's start off with the first shape, the triangle.  If we drew a line like so, we clearly get two triangles, so this will not be the answer.  Next, with our rectangle, we can draw a diagonal line like so, and also this will not be the answer.  Take our trapezoid. We can draw a line like so, making two more triangles,  so this will not be the answer. If we try the hexagon, if we draw a line like so, we are left with two trapezoids.  This cannot be it. If we drew a line like so, we would be left with two pentagons, so this can also not be the answer.  If we move on to our square, we see that we can draw a line like so and get two triangles. This means that our answer will be D.

Video Summary

The question asks which shape cannot be divided into two triangles by a single straight line. The options evaluated are a triangle, rectangle, trapezoid, hexagon, and square. The triangle, rectangle, trapezoid, and square can all be divided into two triangles with a single straight line, ruling them out as answers. However, the hexagon cannot be divided into two triangles by a single straight line, as it results in two trapezoids or pentagons instead. Therefore, the correct answer is the hexagon.

Keywords

shape division

hexagon

geometry

triangles

straight line