Number of line of symmetry in a right angled isosceles triangle is

Options

A. 0
B. 1
C. 2
D. 3

Answer

To determine the number of lines of symmetry in a right-angled isosceles triangle, follow these steps:

### Step 1: Understand the Properties of a Right-Angled Isosceles Triangle
A right-angled isosceles triangle has one angle that measures 90 degrees, and the two sides opposite the right angle are of equal length.

**Hint:** Remember that in an isosceles triangle, two sides are equal, which is a key property we will use.

### Step 2: Draw the Triangle
Begin by sketching a right-angled isosceles triangle. Label the right angle and the equal sides.

**Hint:** Make sure to clearly indicate the right angle (90 degrees) and the two equal sides.

### Step 3: Identify Possible Lines of Symmetry
A line of symmetry is a line that divides a figure into two mirror-image halves. For the right-angled isosceles triangle, consider where you might fold the triangle.

**Hint:** Think about folding the triangle along its height or its base.

### Step 4: Draw the Line of Symmetry
In a right-angled isosceles triangle, you can draw one line of symmetry that runs from the right angle to the midpoint of the hypotenuse. This line will divide the triangle into two equal halves.

**Hint:** Visualize folding the triangle along this line; both halves should match perfectly.

### Step 5: Count the Lines of Symmetry
After analyzing the triangle, you will find that there is only one line of symmetry.

**Hint:** Check if there are any other lines that could also serve as lines of symmetry. In this case, there are none.

### Conclusion
The number of lines of symmetry in a right-angled isosceles triangle is **1**.

**Final Answer:** 1 line of symmetry.

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