Answered: The vertices of the triangle are A (-2,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.1: Rectangular Coordinate Systems

Problem 15E

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Question

The vertices of the triangle are A (-2, 0), B (0, 2), and C (0, -2) is dilated by the scale factor of 5 with respect to the origin k. Find the vertices of the dilated triangle.

A.A' (-10, 0), B' (0, 10), and C' (0, -10)

B.A' (-10, 10), B' (0, 10), and C' (0, -10)

c.A' (-10, 0), B' (10, 10), and C' (0, -10)

D.A' (-10, 0), B' (0, 10), and C' (-10, -10)

The coordinates of the square are (20, 14), (14, -6), (-14, -8), and (-6, 10). If the square is dilated by 2, then find the coordinates of the dilated square.

A.(40, 28), (28, -12), (-28, -16), (-12, 20)

B.(40, -28), (28, -12), (-28, -16), (-12, 20)

C.(40, 28), (-28, -12), (-28, -16), (-12, 20)

D.(40, -28), (-28, -12), (-28, -16), (-12, 20)

A triangle with vertices (1, -1), (2, -5) and (5, -3) is dilated by a
scale factor of 3 about the origin. Find the new coordinates
of the vertices of the triangle.
O (2, -2), (4, -10) and (10, -6)
O (3, -3), (6, -15) and (15, -9)
O (-2, 2), (-4, 10) and (-10, 6)
O (-3, 3), (-6, 15) and (-15, 9)

Find the vertices of the triangle A (4, 8), B (6, 12), and C (3,
8) after dilation of a scale factor of 2 whose center of dilation
is the origin.
О А(4, 8), В (6, 12), С (3, 8)
О A (8, 16), В (12, 24), С' (6, 16)
O A' (8, 4), B' (8, 24), C' (16, 6)
ОA (8, 32), В (10, 24), С (8, 16)

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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