Table of Contents
Which of the following contains shapes with only 2 axes of symmetry?
Rhombus
Solution : Rhombus has only 2 lines of symmetry, and they are two diagonals.
What shapes has exactly 2 lines of symmetry?
Rhombus
- A rhombus has two lines of symmetry.
- It has rotational symmetry of order two.
What shapes have an axis of symmetry?
Total Order of Symmetry
| Shape | Axes of symmetry | Total order of symmetry |
|---|---|---|
| Rectangle | 2 | 4 |
| Square | 4 | 8 |
| Regular pentagon | 5 | 10 |
| Regular hexagon | 6 | 12 |
What is axis symmetry graph?
The axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetric. To simplify, this line splits the graph of a quadratic equation into two mirror images.
How many axes of symmetry does a rectangle have?
2 symmetry lines
There are 2 symmetry lines of a rectangle which are from its length and breadth. These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.
Does a square have 2 lines of symmetry?
For the square, it can be folded in half over either diagonal, the horizontal segment which cuts the square in half, or the vertical segment which cuts the square in half. So the square has four lines of symmetry.
Which triangle has 2 lines of symmetry?
Isosceles triangle has 2 lines of symmetry The equilateral triangle has lines of symmetry.
Which graph has line of symmetry?
A parabola is the graph of a quadratic function. Each parabola has a line of symmetry. Also known as the axis of symmetry, this line divides the parabola into mirror images. The line of symmetry is always a vertical line of the form x = n, where n is a real number.
How do you find the axis of symmetry on a parabola graph?
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
What is axis of symmetry of a parabola?
The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
Does a parallelogram have axes of symmetry?
The parallelogram has no lines of symmetry and, as with the rectangle, students should experiment with folding a copy to see what happens with the lines through the diagonals as well as horizontal and vertical lines.
How many axes of symmetry does a rhombus have?
2 lines of symmetry
A rhombus has 2 lines of symmetry which cuts it into two identical parts. Both the lines of symmetry in a rhombus are from its diagonals.
What rectangle has two lines symmetry?
What are Lines of Symmetry in a Rectangle? There are two lines of symmetry in a rectangle. When one line is drawn through the center along its length and the other is drawn along the width (breadth), we get the two lines of symmetry. By doing this, we get four equal and matching shapes.
How many axes of symmetry does a parallelogram have?
It has 4 lines of symmetry – two diagonals and two lines running through the central points of opposite sides.
What does 2 lines of symmetry mean?
What is meant by two lines of symmetry? A figure is said to have two lines of symmetry if a figure can be divided into two equal parts with two lines.
What is line of symmetry in quadratic graph?
How many lines of symmetry does a parabola have?
one line of symmetry
A parabola has one line of symmetry. The axis of the symmetry is the straight line that divides a parabola into two symmetrical parts. The parabola can be in four forms. It can be either horizontal or vertical, facing left or right.
What do you call the graph of quadratic function?
The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of a parabola is its vertex. It is the highest or the lowest point on its graph. You can think of like an endpoint of a parabola.
Why does a rhombus have 2 lines of symmetry?
Why Does a Rhombus have only 2 Lines of Symmetry? A rhombus has only 2 lines of symmetry because when we fold the rhombus along its diagonal lines, we get the same shape as two halves which can superimpose on each other showing the symmetric nature.
Which graph shows symmetry about the axis x = 3?
Graph A: This graph is symmetric about its axis; that is, it is symmetric about the line x = 3. There is no other symmetry. This graph shows a function.
What does it mean for a graph to be symmetric?
A graph is said to be symmetric about the origin if whenever (a,b) (a, b) is on the graph then so is (−a,−b) (− a, − b). Here is a sketch of a graph that is symmetric about the origin. Note that most graphs don’t have any kind of symmetry. Also, it is possible for a graph to have more than one kind of symmetry.
Which graph is symmetric about slanty lines?
Graph C: This graph is symmetric about the lines x = 1 and y = –2, and symmetric about the point (1, –2). Since a vertical line can be drawn to cross the ellipse twice, this is not a function. Graph D: This graph is symmetric about slanty lines: y = x and y = –x. It is also symmetric about the origin.
Which graph is symmetric about the Y-axis?
A graph is said to be symmetric about the y y -axis if whenever (a,b) ( a, b) is on the graph then so is (−a,b) ( − a, b). Here is a sketch of a graph that is symmetric about the y y -axis.