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 being 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 Alicia and Benjamin that he doesn't need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square. Who is correct? O Only Caleb is correct. O Only Caleb and Benjamin are correct. O Only Benjamin is correct. O Only Alicia is correct. O Alicia, Benjamin, and Caleb are all correct.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
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 being 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 Alicia and Benjamin that he doesn't need to draw the second diameter. He says that
because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles,
one in each semicircle. Together the two triangles will make a square.
Who is correct?
O Only Caleb is correct.
O Only Caleb and Benjamin are correct.
O Only Benjamin is correct.
O Only Alicia is correct.
O Alicia, Benjamin, and Caleb are all correct.
Transcribed Image Text: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 being 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 Alicia and Benjamin that he doesn't need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square. Who is correct? O Only Caleb is correct. O Only Caleb and Benjamin are correct. O Only Benjamin is correct. O Only Alicia is correct. O Alicia, Benjamin, and Caleb are all correct.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education