Final answer:
To prove that the triangles are similar by the SAS similarity theorem, we need to show that the corresponding angles are equal and the corresponding sides are in proportion.
Step-by-step explanation:
To prove that the triangles are similar by the SAS similarity theorem, we need to show that the corresponding angles are equal and the corresponding sides are in proportion.
Let's determine the x- and y-coordinates of point P for each given triangle:
A. OLCEZC - The x-coordinate of point P is the same as the x-coordinate of point C, and the y-coordinate is the same as the y-coordinate of point O.
B. OCEZG - The x-coordinate of point P is the same as the x-coordinate of point G, and the y-coordinate is the same as the y-coordinate of point Z.
C. HI - The x-coordinate of point P is the same as the x-coordinate of point H, and the y-coordinate is the same as the y-coordinate of point I.
D. BC - The x-coordinate of point P is the same as the x-coordinate of point C, and the y-coordinate is the same as the y-coordinate of point B.