Determine which method (AA\cong AA, SAS Theorem of Similarity, SSS Theorem of Similarity) proves that the following triangles are similar.

Find the point on the line $y=2x+3$ that is closest to the origin.

If hearts are geometrically similar and the volume of blood pumped in one beat is proportional to the volume of the heart, how much more blood will a heart 5 cm wide pump in one beat than a heart that is 3cm wide?

Solve for x.
${\displaystyle \mathrm{△}FGH\sim \mathrm{△}KJH}$

To calculate:The ratio of line AB and BC.
Given information:
The following diagram is given

To determine:To prove:The congruency of ${\displaystyle \mathrm{\angle }PBC\stackrel{\sim }{=}\mathrm{\angle }PBD}$.
Given information:
The following information has been given
${\displaystyle \mathrm{\angle }BPC=\mathrm{\angle }BPD={90}^{\circ }}$
${\displaystyle \mathrm{\angle }C=\mathrm{\angle }D}$

Determine whatever each pair if figures is similar. If so, write the similarity statement and scale factor. If not, explain your reasoning.

Determine (if possible) the similarity postulate that proves the following two triangles are similar:

SAS similarity postulate
There is not enough information to determine whether the triangles are similar or not
AA similarity postulate
SSS similarity postulate