In Exercises 27-32 find and then compare lengths of segments. 27. Show that the triangle with vertices A(- 3, 4), M(3, 1), and Y(0, - 2) is isosceles. 28. Quadrilateral TAUL has vertices T(4, 6), A(6, -4), U(- 4, -2), and L(- 2, 4). Show that the diagonals are congruent. 29. Triangles JAN and RFK have vertices J(- 2, – 2), A(4, – 2), N(2, 2), R(8, 1), F(8, 4), and K(6, 3). Show that AJAN is similar to ARFK. 30. The vertices of AKAT and AIES are K(3, - 1), A(2, 6), T(5, 1), I(- 4, 1), E(– 3, - 6), and S(- 6, - 1). What word best describes the relationship between AKAT and AIES? 31. Find the area of the rectangle with vertices B(8, 0), T(2, -9), R(-1, - 7), and C(5, 2). 32. Show that the triangle with vertices D(0, 0), E(3, 1), and F(-2, 6) is a right triangle, then find the area of the triangle.
In Exercises 27-32 find and then compare lengths of segments. 27. Show that the triangle with vertices A(- 3, 4), M(3, 1), and Y(0, - 2) is isosceles. 28. Quadrilateral TAUL has vertices T(4, 6), A(6, -4), U(- 4, -2), and L(- 2, 4). Show that the diagonals are congruent. 29. Triangles JAN and RFK have vertices J(- 2, – 2), A(4, – 2), N(2, 2), R(8, 1), F(8, 4), and K(6, 3). Show that AJAN is similar to ARFK. 30. The vertices of AKAT and AIES are K(3, - 1), A(2, 6), T(5, 1), I(- 4, 1), E(– 3, - 6), and S(- 6, - 1). What word best describes the relationship between AKAT and AIES? 31. Find the area of the rectangle with vertices B(8, 0), T(2, -9), R(-1, - 7), and C(5, 2). 32. Show that the triangle with vertices D(0, 0), E(3, 1), and F(-2, 6) is a right triangle, then find the area of the triangle.
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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Transcribed Image Text:In Exercises 27-32 find and then compare lengths of segments.
27. Show that the triangle with vertices A(- 3, 4), M(3, 1), and Y(0, - 2) is
isosceles.
28. Quadrilateral TAUL has vertices T(4, 6), A(6, -4), U(- 4, -2), and
L(- 2, 4). Show that the diagonals are congruent.
29. Triangles JAN and RFK have vertices J(- 2, – 2), A(4, – 2), N(2, 2),
R(8, 1), F(8, 4), and K(6, 3). Show that AJAN is similar to ARFK.
30. The vertices of AKAT and AIES are K(3, - 1), A(2, 6), T(5, 1),
I(- 4, 1), E(– 3, - 6), and S(- 6, - 1). What word best describes the
relationship between AKAT and AIES?
31. Find the area of the rectangle with vertices B(8, 0), T(2, -9),
R(-1, - 7), and C(5, 2).
32. Show that the triangle with vertices D(0, 0), E(3, 1), and F(-2, 6) is a
right triangle, then find the area of the triangle.
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