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Items 8-10. triangle DEF is shown below.8. What is measure DEF9.Select all the descriptions for segment GE.10. Select all the points that segment GE contains.

Items 810 triangle DEF is shown below8 What is measure DEF9Select all the descriptions for segment GE10 Select all the points that segment GE contains class=

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8.

ΔDEF is an isosceles triangle, therefore:

[tex]\begin{gathered} m\angle DEF=m\angle DEG+m\angle FEG \\ \text{where:} \\ m\angle DEG=3y+4 \\ m\angle FEG=5y-10 \\ m\angle DEG=m\angle FEG \\ 3y+4=5y-10 \\ \text{solving for y:} \\ 2y=14 \\ y=7 \\ m\angle DEG=m\angle FEG=3(7)+4=25 \\ m\angle DEF=25+25 \\ m\angle DEF=50 \end{gathered}[/tex]

9.

C. Perpendicular bisector

A. Angle bisector

D. Altitude ( If your teacher mean height)

B. Median

10.

A. Circumcenter

B. Incenter

C. Orthocenter

D. Centroid

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