Subjects geometry

Circle Parts 592C4C

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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.