<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 560px;"><colgroup><col style="width: 19.6429%;"><col style="width: 41.0714%;"><col style="width: 39.2857%;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><strong>Property</strong></th><th style="text-align: center; --cell-justify: center"><strong>Statement and reason</strong></th><th style="text-align: center; --cell-justify: center"><strong>Diagram</strong></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">Angle at the centre</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"><div class="graph-block" data-graph-config="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" data-width="190" data-height="175" data-proportional style="width:190px;height:175px;max-width:100%;display:flow-root;margin-left:auto;margin-right:auto;margin-top:var(--graph-gap, 0px);margin-bottom:calc(var(--graph-gap, 0px) + 0px);--graph-width:190px;--graph-aspect:190 / 175;"></div></td></tr><tr><td style="text-align: center; --cell-justify: center">Angle in a semicircle</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"><div class="graph-block" data-graph-config="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" data-width="190" data-height="175" data-proportional style="width:190px;height:175px;max-width:100%;display:flow-root;margin-left:auto;margin-right:auto;margin-top:var(--graph-gap, 0px);margin-bottom:calc(var(--graph-gap, 0px) + 0px);--graph-width:190px;--graph-aspect:190 / 175;"></div></td></tr><tr><td style="text-align: center; --cell-justify: center">Angles in the same segment</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"><div class="graph-block" data-graph-config="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" data-width="190" data-height="175" data-proportional style="width:190px;height:175px;max-width:100%;display:flow-root;margin-left:auto;margin-right:auto;margin-top:var(--graph-gap, 0px);margin-bottom:calc(var(--graph-gap, 0px) + 0px);--graph-width:190px;--graph-aspect:190 / 175;"></div></td></tr><tr><td style="text-align: center; --cell-justify: center">Angles in opposite segments</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"><div class="graph-block" data-graph-config="eyJheGlzIjpmYWxzZSwiZ3JpZCI6ZmFsc2UsIndpZHRoIjoxOTAsImhlaWdodCI6MTc1LCJlbGVtZW50cyI6W3siaWQiOiJ1MTYtdDMtY2c4LWMiLCJ0eXBlIjoiY2lyY2xlIiwiY29sb3IiOiIjMDAwMDAwIiwiY2VudGVyIjpbMCwwXSwicmFkaXVzIjoyLCJzdHJva2VXaWR0aCI6MS41fSx7ImlkIjoidTE2LXQzLWNnOC1wcSIsInR5cGUiOiJzZWdtZW50IiwiY29sb3IiOiIjMDAwMDAwIiwicG9pbnQxIjpbLTEsMS43MzJdLCJwb2ludDIiOlsxLjUzMiwxLjI4Nl0sInN0cm9rZVdpZHRoIjoxLjV9LHsiaWQiOiJ1MTYtdDMtY2c4LXFyIiwidHlwZSI6InNlZ21lbnQiLCJjb2xvciI6IiMwMDAwMDAiLCJwb2ludDEiOlsxLjUzMiwxLjI4Nl0sInBvaW50MiI6WzAuNjg0LC0xLjg3OV0sInN0cm9rZVdpZHRoIjoxLjV9LHsiaWQiOiJ1MTYtdDMtY2c4LXJzIiwidHlwZSI6InNlZ21lbnQiLCJjb2xvciI6IiMwMDAwMDAiLCJwb2ludDEiOlswLjY4NCwtMS44NzldLCJwb2ludDIiOlstMS45NywtMC4zNDddLCJzdHJva2VXaWR0aCI6MS41fSx7ImlkIjoidTE2LXQzLWNnOC1zcCIsInR5cGUiOiJzZWdtZW50IiwiY29sb3IiOiIjMDAwMDAwIiwicG9pbnQxIjpbLTEuOTcsLTAuMzQ3XSwicG9pbnQyIjpbLTEsMS43MzJdLCJzdHJva2VXaWR0aCI6MS41fSx7ImlkIjoidTE2LXQzLWNnOC1hYSIsInR5cGUiOiJhbmdsZSIsImNvbG9yIjoiIzAwMDAwMCIsImxhYmVsIjoiXFwoYVxcKSIsInBvaW50MSI6Wy0xLjk3LC0wLjM0N10sInBvaW50MiI6Wy0xLDEuNzMyXSwicG9pbnQzIjpbMS41MzIsMS4yODZdLCJzdHJva2VXaWR0aCI6MS41LCJsYWJlbE9mZnNldCI6Wy01LjgsMTIuN119LHsiaWQiOiJ1MTYtdDMtY2c4LWFiIiwidHlwZSI6ImFuZ2xlIiwiY29sb3IiOiIjMDAwMDAwIiwibGFiZWwiOiJcXChiXFwpIiwicG9pbnQxIjpbMS41MzIsMS4yODZdLCJwb2ludDIiOlswLjY4NCwtMS44NzldLCJwb2ludDMiOlstMS45NywtMC4zNDddLCJzdHJva2VXaWR0aCI6MS41LCJsYWJlbE9mZnNldCI6Wy0wLjYsLTRdfSx7IngiOi0xLCJ5IjoxLjczMiwiaWQiOiJ1MTYtdDMtY2c4LXBwIiwidHlwZSI6InBvaW50IiwiY29sb3IiOiIjMDAwMDAwIiwiZml4ZWQiOnRydWUsImxhYmVsIjoiXFwoUFxcKSIsInBvaW50U2l6ZSI6MiwibGFiZWxPZmZzZXQiOlstOCwxMl19LHsieCI6MS41MzIsInkiOjEuMjg2LCJpZCI6InUxNi10My1jZzgtcHEyIiwidHlwZSI6InBvaW50IiwiY29sb3IiOiIjMDAwMDAwIiwiZml4ZWQiOnRydWUsImxhYmVsIjoiXFwoUVxcKSIsInBvaW50U2l6ZSI6MiwibGFiZWxPZmZzZXQiOlsxMCw2XX0seyJ4IjowLjY4NCwieSI6LTEuODc5LCJpZCI6InUxNi10My1jZzgtcHIiLCJ0eXBlIjoicG9pbnQiLCJjb2xvciI6IiMwMDAwMDAiLCJmaXhlZCI6dHJ1ZSwibGFiZWwiOiJcXChSXFwpIiwicG9pbnRTaXplIjoyLCJsYWJlbE9mZnNldCI6WzQsLTE0XX0seyJ4IjotMS45NywieSI6LTAuMzQ3LCJpZCI6InUxNi10My1jZzgtcHMiLCJ0eXBlIjoicG9pbnQiLCJjb2xvciI6IiMwMDAwMDAiLCJmaXhlZCI6dHJ1ZSwibGFiZWwiOiJcXChTXFwpIiwicG9pbnRTaXplIjoyLCJsYWJlbE9mZnNldCI6Wy0xNiwtNl19XSwiYWxpZ25tZW50IjoiY2VudGVyIiwic2hvd1hBeGlzIjpmYWxzZSwic2hvd1lBeGlzIjpmYWxzZSwiYm91bmRpbmdCb3giOlstMy4xNDg1NzE0Mjg1NzE0Mjg2LDIuOSwzLjE0ODU3MTQyODU3MTQyODYsLTIuOV0sInNob3dBeGlzTGFiZWxzIjpmYWxzZSwic2hvd05hdmlnYXRpb24iOmZhbHNlLCJrZWVwQXNwZWN0UmF0aW8iOnRydWUsImxhYmVsUmVzZXJ2ZUJvdHRvbVB4IjowfQ==" data-width="190" data-height="175" data-proportional style="width:190px;height:175px;max-width:100%;display:flow-root;margin-left:auto;margin-right:auto;margin-top:var(--graph-gap, 0px);margin-bottom:calc(var(--graph-gap, 0px) + 0px);--graph-width:190px;--graph-aspect:190 / 175;"></div></td></tr></tbody></table></div></div>
<p>The centre and circumference angles must stand on the same arc. An angle in a semicircle requires the opposite chord to be a diameter.</p>

The angle at the centre is twice any angle at the circumference standing on the same arc.
\(\angle AOB=2\angle ACB\)
(\(\angle\) at centre \(=2\angle\) at circumference)

If \(AB\) is a diameter, the angle at the circumference is a right angle.
\(\angle ACB=90^\circ\)
(\(\angle\) in semicircle)

Angles standing on the same chord, on the same side of it, are equal.
\(\angle ACB=\angle ADB\)
(\(\angle\)s in the same segment)

Opposite angles of a cyclic quadrilateral are supplementary.
\(a+b=180^\circ\)
(\(\angle\)s in opposite segments)

The centre and circumference angles must stand on the same arc. An angle in a semicircle requires the opposite chord to be a diameter.

Angle Properties of Circles

Angle Properties of Circles

Video Solution:

Solution:

Solution locked

Property	Statement and reason	Diagram
Angle at the centre
Angle in a semicircle
Angles in the same segment
Angles in opposite segments