12. C ends up where A is, at (3, 3). 13. Straight across is 180°. 14. Following one point through this translation leads you to triangle KLM. 15. Since P is 3 units right of x = -3, it will end up 3 units left of it, at -6. As it's 4 units down from y = 4, it will end up 4 units above it, at 8. (-6, 8) 16. It appears to be the same as a translation (it's flipped twice and ends up in the same orientation).
12. C ends up where A is, at (3, 3). 13. Straight across is 180°. 14. Following one point through this translation leads you to triangle KLM. 15. Since P is 3 units right of x = -3, it will end up 3 units left of it, at -6. As it's 4 units down from y = 4, it will end up 4 units above it, at 8. (-6, 8) 16. It appears to be the same as a translation (it's flipped twice and ends up in the same orientation).
∠CTA because corresponding parts of congruent triangles are congruent.
The definition of congruent triangles says the corresponding parts of congruent triangles are congruent (CPCTC). Since ΔTOP ≅ ΔCAT, ∠TPO corresponds to ∠CTA.
it means that the points are taken in such an order that the congruent sides and angles can be easily found from the notation, i.e., if we take sides and angles from the notation of RHS in the same order as those taken from the notation in LHS, then the corresponding sides and angles will be congruent.
∠CTA because corresponding parts of congruent triangles are congruent.
The definition of congruent triangles says the corresponding parts of congruent triangles are congruent (CPCTC). Since ΔTOP ≅ ΔCAT, ∠TPO corresponds to ∠CTA.