Year 7 Math Quiz

Line symmetry is when a figure or shape can be divided into two equal halves that are mirror images of each other. An example of line symmetry is the letter 'M'. When the letter 'M' is divided vertically down the middle, the two halves are mirror images of each other.

Corresponding angles are pairs of angles that are in the same position at the intersection of two lines and a transversal. They are equal in measure. An example of corresponding angles is when a transversal intersects two parallel lines, the angles in the top left corner of each intersection are corresponding angles.

Rotation symmetry is when a figure or shape can be rotated by a certain angle and still look exactly the same. An example of rotation symmetry is a square. When a square is rotated by 90 degrees, it still looks the same.

Let's consider a triangle with angles A, B, and C. The sum of the angles can be represented as A + B + C. We can draw a straight line parallel to one side of the triangle. This creates a transversal that intersects the parallel sides. According to the property of corresponding angles, the angles A and C are corresponding angles. Therefore, A + C is equal to 180 degrees. Now, we can substitute A + C for B in the original equation, making it A + B + C = 180 degrees.

To solve the equation, we need to isolate the variable 'x'. First, we subtract 2 from both sides of the equation: 3x = 6. Then, we divide both sides by 3: x = 2. Therefore, x equals 2.