Quadrilateral ABCD has vertices A(-1, 5), B(4, 4), C(5, -3) and D(-4, -2). Quadrilateral SQUR is drawn with its vertices at the midpoints of the sides of quadrilateral ABCD. a) What are the coordinates of the vertices of the quadrilateral SQUR? b) Show that quadrilateral SQUR is a square by showing: i. that all its sides are the same length that there is a right angle at each corner (i.e. the two adjacent lines are perpendicular) ii. c) Find the equation of the line through A and C.

Quadrilateral ABCD has vertices A(-1, 5), B(4, 4), C(5, -3) and D(-4, -2). Quadrilateral SQUR is drawn with its vertices at the midpoints of the sides of quadrilateral ABCD. a) What are the coordinates of the vertices of the quadrilateral SQUR? b) Show that quadrilateral SQUR is a square by showing: i. that all its sides are the same length that there is a right angle at each corner (i.e. the two adjacent lines are perpendicular) ii. c) Find the equation of the line through A and C.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.2: More Angle Measures In The Circle

Problem 20E: A quadrilateral RSTV is circumscribed about a circle so that its tangent sides are at the endpoints...

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