Question

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.

Answer 1

8.

ΔDEF is an isosceles triangle, therefore:

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

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