Circle Parts 592C4C
1. **Problem Statement:** Draw a circle named H with radii, diameter, chords, tangent, and secant lines as described.
2. **Step 1: Draw circle H**
- Use a compass to draw a circle.
- Label the center as $H$.
3. **Step 2: Draw three radii $HA$, $HE$, and $HI$**
- From center $H$, draw lines to points $A$, $E$, and $I$ on the circle.
- These lines are radii, so $HA = HE = HI$ (all equal to the radius).
4. **Step 3: Draw diameter $AE$**
- Connect points $A$ and $E$ with a straight line passing through $H$.
- Since $AE$ passes through the center, it is a diameter.
- Diameter length $AE = 2 \, r$ where $r$ is the radius.
5. **Step 4: Draw chords $XE$ and $AE$**
- $AE$ is already a chord (also diameter).
- Choose point $X$ on the circle and connect it to $E$.
- $XE$ is a chord because it connects two points on the circle.
6. **Step 5: Draw tangent line $t$ at point $X$**
- Draw line $t$ touching circle $H$ only at $X$.
- Tangent line touches the circle at exactly one point and is perpendicular to radius $HX$ at $X$.
7. **Step 6: Draw secant line $EI$**
- Draw a line passing through points $E$ and $I$ extending beyond both.
- This line intersects the circle at two points, so it is a secant.
This completes the drawing and labeling of the circle and its parts as requested.