Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C. Alicia draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle. Benjamin tells Alicia that she was not beirng very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle. Caleb tells Alica and Benjamin that he doesn't need to draw the second diameter. He says that because a triangle inscribed in a semicinde is a rght triangle. he will simply draw two such triangle one in cach semicircle. Together the two triangles will make a square. Who is correct? C Akca. Benamin.and Caleb are all corec. OyBenjarin is correct. C Ony Aliciis correct. COy Caleos.correst 0DyCile and Eenjanie ane cormext

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with
center at pointC.
Alicia draws twwo diameters and connects the points where the diameters intersect the circe, in
order, around the circle.
Benjamin tels Alica that she was not bang very accurate. He says that the diameters must be
perpendicular to each other. Then she can connect the points, in order, around the circle
Caleb tells Alicla and Denjamin
because a triangle inscribed in semicirce is a right triangle he will simply draw two such triangles,
one in cach semcrcle. Together the two triangles will make a square.
that he doesn't need to draw the second diameler He says that
Wiso
Who is correct?
OAk.Benjnn and Carb are allcor
Transcribed Image Text:Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at pointC. Alicia draws twwo diameters and connects the points where the diameters intersect the circe, in order, around the circle. Benjamin tels Alica that she was not bang very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle Caleb tells Alicla and Denjamin because a triangle inscribed in semicirce is a right triangle he will simply draw two such triangles, one in cach semcrcle. Together the two triangles will make a square. that he doesn't need to draw the second diameler He says that Wiso Who is correct? OAk.Benjnn and Carb are allcor
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