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 radii HA, HE, HI** - Draw three lines from center $H$ 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, $AE$ is the diameter. - Diameter length $AE = 2 imes$ radius. 5. **Step 4: Draw chords XE and AE** - $AE$ is already a chord (also diameter). - Draw chord $XE$ connecting point $X$ on the circle to $E$. 6. **Step 5: Draw tangent line $t$ at point $X$** - Tangent line $t$ touches circle $H$ at exactly one point $X$. - It does not cross inside the circle. - By definition, tangent is perpendicular to radius at point of tangency: $t ot HX$. 7. **Step 6: Draw secant line $EI$** - Draw line passing through points $E$ and $I$ extending beyond both. - Secant line intersects circle at two points. **Summary:** - Circle $H$ with center $H$. - Radii $HA$, $HE$, $HI$ equal. - Diameter $AE = 2 imes$ radius. - Chords $AE$ and $XE$. - Tangent line $t$ at $X$ perpendicular to radius $HX$. - Secant line $EI$ passing through $E$ and $I$. This completes the drawing and understanding of the circle and its parts.