Answer:
AAA Similarity
Step-by-step explanation:
Given:
Triangles ABC and DBE
Required
Which postulate shows ABC and DBE similarity
From the question, we understand that the following transformation were done on ABC
- Rotation
- Dilation
It should be noted that, when a triangle (e.g. triangle ABC) is rotated, the length of the sides and angle measurements remain unchanged.
However, when this triangle is dilated, the sides of the triangle change, but the angles remain unchanged.
Having said that,
When ABC is rotated and dilated to form DBE, we have:
[tex]\angle A = \angle D = a[/tex]
[tex]\angle B = \angle B = b[/tex]
[tex]\angle C = \angle E = c[/tex]
[See Attachment]
Hence, the postulate that answers this question is AAA (Angle-Angle-Angle).
