Can someone please give me a detailed explanation for the answer? Please and tha
ID: 3003566 • Letter: C
Question
Can someone please give me a detailed explanation for the answer? Please and thank you!
Segments ox and oc are perpendicular to chords AB and YZ . If length of AB is 10 millimeters, what is the length of YZ? is congruent to , a and the 7 | A 8 millimeters B 9 millimeters Cl 10 millimeters D 12 millimeters 18718801 CCSs >> Grade: High School >> Circles >>Circles >> MA.9-12.HSG-C.A.2 Identify and describe relationships among inscribed angles, radii, and chords. g with Geometry >> Modeling with Geometry>MA.9-12.HSG-MG.A.1 Ccss >> Grade: High School >> Modeling >> Modelin Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree torso as a cylinder). trunk or a hExplanation / Answer
As given in the question OC and OX are congruent, so they are equal in length.
Now, try to move the chords AB and YZ in such a way that their length does not get affected, you only have to move it. Move the chords in such a way that both the end points of a chord lie on the circumference of the circle. On constant movement of the chords there will be an instant when these 2 chords will approach each other and in the final picture you'll have both the chords coinciding each other since OC and OX are equal.
Therefore we can state that if 2 chords are equidistant from the centre of a circle then the chords will be of equal length. This gives three length of YZ equal to 10mm.