9514 1404 393
Explanation:
The three Reasons tell you what to look for to put in the Statement blank.
1. We are given that RE = 2AR and RT = 2GR.
2. The only vertical angles in the figure are ...
∠GRA ≅ ∠TRE
3. Using the given relation between the sides, we can write the proportion ...
RE/RA = RT/RG = 2
It is nice, though maybe not absolutely essential, to write the segment names in order of corresponding vertices.
4. Having shown that two sides are proportional and the angle between them is congruent, we can claim similarity using the SAS Theorem.
