|Duplex triangle (all sides equal, all angles equal)||Isosceles triangle (two equal sides, two equal angles)||Scalene triangle (no equal sides, no equal angles)|
|3 axes of symmetry||1 axis of symmetry||No line of symmetry|
Answer and explanation: An equilateral triangle or a triangle with all sides of the same length has three axes of symmetry.
The distribution of the triangles in the shell, isosceles and equilateral, can be seen as a line of symmetry. A ladder triangle is a triangle with no symmetry, while an isosceles triangle has at least one symmetry and an equilateral triangle has three axes of symmetry.
Step by step explanation:
Symmetry Art Project
The line of symmetry (shown here in white) is the imaginary line where you can fold the image and seamlessly join the two halves. See: symmetry. Symmetry of reflection.
You can tell if a shape has an axis of symmetry by bending it. If the folded part sits perfectly at the top (all edges fit together), the fold line is a line of symmetry.
An isosceles triangle:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply the height by the width. For a square, all you have to do is find the length of one of its sides (since each side is the same length) and then multiply it by itself to find the area.
A line through a shape so that each side is a mirror image. When the shape is folded in half along the axis of symmetry, the two halves fit together. In this image, the white line in the center is a vertical line of symmetry.
Scalene triangle. A ladder triangle is a triangle with three different sides, as shown above. SEE ALSO: Acute Triangle, Equilateral Triangle, Isosceles Triangle, Obtuse Triangle, Triangle. THIS SESSION: Weisstein, Eric W.
A shape with at least one line of symmetry is a rectangle. A rectangle has two lines of symmetry. Other examples of shapes with at least one axis of symmetry are a square with four axes of symmetry and an equilateral triangle with three axes of symmetry.
There are shapes and forms that can have more than one symmetry. A circle has an infinite number of lines of symmetry. Similarly, a triangle has three lines of symmetry, while a rectangle and a square have four of these lines that divide them into identical parts.
Symmetrical reflective triangles are isosceles. The squares with mirror symmetry are dragons, deltoids (concave), diamonds, and isosceles trapezoids. All smooth polygons have two simple reflective shapes, one with reflective lines through the corners and one through the edges.
These letters cannot be folded in half with the appropriate parts. The other letters A, B, C, D and E all have a single axis of symmetry. Note that A has vertical symmetry while B, C, D and E have horizontal symmetry.
(a) Yes, we can draw an isosceles triangle that has only one symmetry. (b) No, we cannot draw a triangle with 2 lines of symmetry. (c) Yes, we can draw an equilateral triangle with 3 lines of symmetry. (d) Yes, we can draw a scale triangle without symmetry.
Similarly, an isosceles triangle has only one mirror symmetry because it has only one pair of congruent sides.