Reflection Exercise

1. Copy the diagrams below and draw their images after reflection in the given mirror lines.

 (a) (b) (c) (d)

2. In the diagram below, m is a mirror line for the reflection M.

 Complete the following sentences: (a) The image of B is ........... (b) M(D) = ............. (c) Length of AE = length of ............ (d) A ´ =............. (e) E and F are ........................... points. (f) BFE = ...................

3. In the diagram, n is a mirror line. Find the size of:

 (a) ADC (b) x (c) y (d)  BAC
 4. Under reflection in the y-axis, give the coordinates of: (a) A´ (b) B´ (c) C´ (d) D´ (e) E´

 5. Lines p and q are mirror lines. (a) Name an angle congruent toWXY. (b) Name a line segment equal in length to ZY. (c) What type of triangle is WXZ? (d) What is the image of Y under reflection in p ? (e) Name an invariant point.

6. The diagram shows a triangle and its image under a reflection.

i.e. ABC  A´B´C´

 (a) Draw in the mirror line. (b) Join A to A´, B to B´ and C to C´ (c) What is the angle between AA´ and the mirror line you have drawn? (d) Triangle ABC and Triangle A´B´C´ are: A) DirectB) InvariantC) CongruentD) Complementary