Given: YZ and WZ are tangent to drde X, mWY =90°. Prove: WXYZ Is a square. Y. W Z because it is a central angle. Because a line tangent to a circle is Because mWY =90°, m YXW = a line perpendicular to a radius at the point of tangency, XYZ and ZXWZ are right angles. The sum of the measures of the angles of a quadrilateral is 360°, so mzWZY = %3D . Thus all 4 angles of WXYZ are right, so WXYZ is a (select) one pair of consecutive congruent sides is a (select) is both a rectangle and a rhombus, it (select) v.XY (select) v because they are radii. Because a parallelogram with v,WXYZ is a (select) v.Since WXYZ v also be a square.
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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