which figure does not show a line of symmetry? there's a n isosceles triangle, a wide hexagon, a rectangle and a long pentagon i think its either the rectangle or the wide hexagon.
To determine which figure does not show a line of symmetry, we need to understand what a line of symmetry is. A line of symmetry is a line that splits a figure into two congruent halves, such that when one half is folded over the line, it perfectly overlaps with the other half.
Let's analyze each figure:
1. Isosceles triangle: An isosceles triangle has two equal sides and two equal angles. If we draw a line through the vertex angle (the non-base angle), it will divide the triangle into two congruent halves. Therefore, the isosceles triangle has a line of symmetry.
2. Wide hexagon: A hexagon is a six-sided polygon. To check if it has a line of symmetry, we can draw lines between opposite pairs of vertices. If any of these lines divide the hexagon into two congruent halves, then it has a line of symmetry. In the case of a wide hexagon, if we draw a line from the midpoint of one side to the opposite midpoint, it will not divide the hexagon into congruent halves. Therefore, the wide hexagon does not have a line of symmetry.
3. Rectangle: A rectangle is a four-sided polygon with opposite sides that are equal in length and all angles equal to 90 degrees. To check its symmetry, we can draw a line through its center vertically or horizontally. By doing so, it divides the rectangle into two congruent halves. Therefore, the rectangle has both horizontal and vertical lines of symmetry.
4. Long pentagon: A pentagon is a five-sided polygon. Similar to the hexagon, we can draw lines between opposite pairs of vertices to check for symmetry. In the case of a long pentagon, if we draw a line from the midpoint of one side to the opposite midpoint, it does not divide the pentagon into congruent halves. Consequently, the long pentagon does not have a line of symmetry.
Based on this analysis, the figure that does not show a line of symmetry is the wide hexagon.