Please answer the following with one answer each! This lesson was confusing!

1. Triangle GHI is dilated to form a new triangle JKL. If angle H is congruent to angle K, what other information will prove that the two triangles are similar by the AA similarity postulate? (a) angle G is congruent to angle L, (b) side GH is congruent to side JK, (c) Angle I is congruent to angle L, (d) Side IG is congruent to side LJ.
2. In a quadrilateral ABCD, the diagonals intersect at point T. Heather has used the Alternate Interior Angles Theorem to show that angle ABD is congruent to angle CDB and that angle BAC is congruent to DCA. Which of the following can Heather use prove that segment DT is equal to segment TB? (a) AB =~ DC, (b) AC =~ DB, (c) DA =~ BC, (d) AC =~ AC
3. The vertices of ?ABC are A (1, 5), B (3, 9), and C (5, 3). The vertices of ?DEF are D (?3, 3), E (?2, 5), and F (?1, 2). Which conclusion is true about the triangles? (a)The ratio of their corresponding sides is 1:3, (b) They are congruent by the definition of congruence in terms of rigid motions, (c) The ratio of their corresponding angles is 1:3, (d) They are similar by the definition of similarity in terms of a dilation.
4. What is the length, in units, of segment CD? (a) 5.50, (b) 12.25, (c) 8, (d) 14
   

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