Circle Parts Bbe14D
1. **Problem Statement:** Draw a circle named H with specific parts: radii, diameter, chords, tangent, and secant lines.
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 $HI$**
- Draw lines from center $H$ to points $A$, $E$, and $I$ on the circle.
- These lines are radii, meaning $HA = HE = HI$ (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, $AE$ is the diameter.
- Diameter length $AE = 2 \times$ radius.
5. **Step 4: Draw chords $XE$ and $AE$**
- $AE$ is already a chord (and 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.
- The radius $HX$ is perpendicular to tangent $t$ 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.
**Summary:**
- Circle $H$ with center $H$.
- Radii: $HA$, $HE$, $HI$.
- Diameter: $AE$.
- Chords: $AE$, $XE$.
- Tangent line $t$ at $X$.
- Secant line $EI$.
This completes the drawing and identification of parts of circle $H$.