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a) Determine if the triangles are similar.b) If they are similar write the reason. (SSS, SAS, AA, NONE)c) The red segments are called...____(medians, heights, perpendicular bisectors, angle bisectors)d) ×=

a Determine if the triangles are similarb If they are similar write the reason SSS SAS AA NONEc The red segments are calledmedians heights perpendicular bisecto class=

Respuesta :

Answer:

• a. Yes

,

• b. SAS

,

• c. Height

,

• d. x=14

Explanation:

Part A

The two triangles have an angle of 76 degrees at the altitudes U and F respectively.

Similarly, the ratio of their corresponding sides are:

[tex]\begin{gathered} \frac{WU}{HF}=\frac{9}{21}=\frac{3}{7} \\ \frac{UV}{FG}=\frac{18}{42}=\frac{3}{7} \end{gathered}[/tex]

Part B

We conclude that:

Triangle HFG is similar to triangle WUV by the SAS congruence Theorem.

Part C

The red segments are called heights of the triangles.

Part D

The ratio of corresponding sides = 3/7

Thus:

[tex]\begin{gathered} \frac{6}{x}=\frac{3}{7} \\ 3x=6\times7 \\ x=\frac{6\times7}{3} \\ x=14 \end{gathered}[/tex]

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