1) ,
,
,
(given)
2) (reflexive property)
3) (SSS)
4) (CPCTC)
5) and
are right angles (perpendicular lines form right angles)
6) and
are right triangles (a triangle with a right angle is a right triangle)
7) (HA)
8) (CPCTC)
Note: Consider we need to find the vertices of the triangle A'B'C'
Given:
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).
To find:
The vertices of the triangle A'B'C'.
Solution:
If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then
Using this rule, we get
Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).