# A line segment has endpoints at #(5 ,9 )# and #(8 ,7 )#. If the line segment is rotated about the origin by #( pi)/2 #, translated vertically by #-8 #, and reflected about the y-axis, what will the line segment's new endpoints be?

##### 1 Answer

#### Answer:

#### Explanation:

**Given** : Two points

**Required** : New end-point of the segment

**Solution Strategy** : a) Rotate b) Translated Vertically c) Reflect

**a) Rotate using Rotation Matrix** :

**b) Translate Vertically** :

Translation Operation of vector,

**c) Reflection Vertically** :

Reflection Matrix about y, is