Reflection Angle Math

Students should know that the reflection of a line always has equal angles that a straight line is 180 and that a right angle is 90.

Reflection angle math. When you reflect a shape in coordinate geometry the reflected shape remains congruent to the original but something changes. Though we showed this for θ in qi it is easy see exercise 4 to use similar arguments for the other quadrants. 1 5 1 sin θ 90 cos θ. For each corner of the shape.

Sin θ 90 x r cos θ cos θ 90 y r sin θ tan θ 90 x y cot θ. For example as you can see in the image the triangle in the mirror is flipped over compared with the real triangle. That something is the new shape s orientation. The normal is the direction directly away from the surface at right angles to it.

A familiarity with angles what they are how they are identified and characterized and examples of how they are used in action sports architecture navigation etc. In general the following relations hold for all angles θ. Angles are measured from the normal. A triangle s reflection in a mirror.

Measure from the point to the mirror line must hit the mirror line at a right angle 2. The law of reflection states that θ i θ r or in other words the angle of incidence equals the angle of reflection. In fact reflection of light may occur whenever light travels from a medium of a given refractive index into a medium with a different refractive index. Then connect the new dots up.

Measure the same distance again on the other side and place a dot.