Question

geometry module 2 (without section 2.5) select all of the angles for which ha and he are sides. a)∠1 b)∠6 c)∠ahe d)∠age e)∠eha f)∠ega g)∠hea

Explanation:

Step1: Recall angle - naming convention

An angle is named using the endpoints of the rays that form its sides. The vertex is usually in the middle of the angle - name. For an angle with sides $\overrightarrow{HA}$ and $\overrightarrow{HE}$, the vertex is $H$.

Step2: Analyze each option

• Option A: $\angle1$ has vertex $G$, not $H$, so it is not formed by $\overrightarrow{HA}$ and $\overrightarrow{HE}$.
• Option B: $\angle6$ has vertex $G$, not $H$, so it is not formed by $\overrightarrow{HA}$ and $\overrightarrow{HE}$.
• Option C: $\angle AHE$ has vertex $H$ and sides $\overrightarrow{HA}$ and $\overrightarrow{HE}$.
• Option D: $\angle AGE$ has vertex $G$, not $H$, so it is not formed by $\overrightarrow{HA}$ and $\overrightarrow{HE}$.
• Option E: $\angle EHA$ has vertex $H$ and sides $\overrightarrow{HE}$ and $\overrightarrow{HA}$.
• Option F: $\angle EGA$ has vertex $G$, not $H$, so it is not formed by $\overrightarrow{HA}$ and $\overrightarrow{HE}$.
• Option G: $\angle HEA$ has vertex $E$, not $H$, so it is not formed by $\overrightarrow{HA}$ and $\overrightarrow{HE}$.

Answer:

C. $\angle AHE$, E. $\angle EHA$