To Complete: the statement /_RWZ=? in the figure shown.Given:Figure is shown below.12210202811.jpg

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

Write the triangle similarity statement and the reason for why the triangles are similar.

${\displaystyle \mathrm{△}XYZ\sim \mathrm{△}?By:?}$

State if the triangle in each pair are similar. If so,complete the similarity statement.

${\displaystyle \mathrm{△}EFG\sim }$?
-AA similarity: triangle RSE
-Not similar
-SSS similarity: triangle RSE
-SAS similarity: triangle SER

Determine whether the triangles are similar.
If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

Proving Similarity in the figure DEFG is a square. Prove the following:
${\displaystyle DE=\sqrt{AD\cdot EB}}$
Given:
The given figure is,

Compute the similarity dimension of a strictly self-similar fractal with a replacement ratio of 5 and a scaling ratio of 4. Round to the nearest thousandth.

To determine:To prove: ${\displaystyle \mathrm{△}RST\sim \mathrm{△}XYZ}$ by the SAS similarity theorem.
Given:
The triangles are similar by theorem SAS.
${\displaystyle \mathrm{\angle }R=\mathrm{\angle }X}$ (Given)