Exercises Refer to AGHI in Example 2 above. Graph GHI after each rotation. Then give the coordinates of the vertices for G'H'I'. 1. 180° counterclockwise about vertex G 2. 180° clockwise about the origin Course 3• Chapter 6 Transformations 95

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I need help I’m struggling you have to use the graph on example 2 to do 1 and 2 on the bottom please help me
So, the coordinates of the vertices of AABC are A' (3, 2), B' (1, 4), C' (3, 5).
Example 2
Triangle GHI has vertices G(1, 2), H(3, 5), I(3, 2). Graph the figure and its
image after a clockwise rotation of 90° about the orig
coordinates of the vertices for AG'H'I'.
H
the
Step 1
coordinate plane.
Graph AGHI on a
Sketch connecting point G to
the origin. Sketch another
segment, G'O' so that the angle
between point G, O, and G'
measures 90° and the segment
is congruent to .
Step 2
Repeat Step 2 for points H
and I. Then connect the
Step 3
vertices to form AG'H'I'.
So, the coordinates of the vertices of AG'H'I are G'(2, –1), H'(5, –3), and I'(2,
-3).
Exercises
Refer to AGHI in Example 2 above. Graph GHI after each rotation.
Then give the coordinates of the vertices for G'H'I'.
1. 180° counterclockwise about vertex G
2. 180° clockwise about the origin
Course 3• Chapter 6 Transformations
95
Transcribed Image Text:So, the coordinates of the vertices of AABC are A' (3, 2), B' (1, 4), C' (3, 5). Example 2 Triangle GHI has vertices G(1, 2), H(3, 5), I(3, 2). Graph the figure and its image after a clockwise rotation of 90° about the orig coordinates of the vertices for AG'H'I'. H the Step 1 coordinate plane. Graph AGHI on a Sketch connecting point G to the origin. Sketch another segment, G'O' so that the angle between point G, O, and G' measures 90° and the segment is congruent to . Step 2 Repeat Step 2 for points H and I. Then connect the Step 3 vertices to form AG'H'I'. So, the coordinates of the vertices of AG'H'I are G'(2, –1), H'(5, –3), and I'(2, -3). Exercises Refer to AGHI in Example 2 above. Graph GHI after each rotation. Then give the coordinates of the vertices for G'H'I'. 1. 180° counterclockwise about vertex G 2. 180° clockwise about the origin Course 3• Chapter 6 Transformations 95
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