Explanation Given: The triangle A ′ B ′ C ′ is the image of triangle ABC under the translation ( x , y ) → ( x + 3 , y − 5 ) . The coordinates of triangle A ′ B ′ C ′ are A ′ ( 0 , 7.91 ) , B ′ ( 5 − , 4 − .93 ) , C ′ ( 4.83 , 0 ) . Calculation: The coordinates of A ′ is ( 0 , 7.91 ) . The coordinates of point A under the translation ( x , y ) → ( x + 3 , y − 5 ) can be found as follows: 0 = x + 3 and 7.91 = y − 5 x = 0 − 3 and 7.91 + 5 = y x = 3 − and y = 12.91 So, the coordinates of A is ( 3 − , 12.91 ) . The coordinates of B ′ is ( 5 − , 4 − .93 ) . The coordinates of point B under the translation ( x , y ) → ( x + 3 , y − 5 ) can be found as follows: − 5 = x + 3 and − 4 To determine b. To find: The translation under which Δ A ′ B ′ C ′ is the image of Δ A B C .

A PROBLEM SOLVING APPROACH TO MATHEMATIC

13th Edition

ISBN: 9780137659395

Author: BILLSTEIN

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Chapter 14.CR, Problem 10CR

To determine

a.

To find:

The coordinates A, B, and C of the triangle ABC under the translation (x,y)→(x+3,y−5).

To determine

b.

To find:

The translation under which ΔA′B′C′ is the image of ΔABC.

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Chapter 14.CR, Problem 9CR

Chapter 14.CR, Problem 11CR

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Chapter 14 Solutions

A PROBLEM SOLVING APPROACH TO MATHEMATIC

Ch. 14.1 - Prob. 1MC Ch. 14.1 - Prob. 3MC Ch. 14.1 - Prob. 5MC Ch. 14.1 - Prob. 6MC Ch. 14.1 - Prob. 7MC Ch. 14.1 - A drawing of a cube, shown in the following...Ch. 14.1 - Wall stenciling has been used to obtain an effect...Ch. 14.1 - Prob. 10MC Ch. 14.1 - The following figure is a partial tessellation of...Ch. 14.1 - Prob. 12MC

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a. To find: The coordinates A , B , and C of the triangle ABC under the translation ( x , y ) → ( x + 3 , y − 5 ) .

Solution Summary: The coordinates of A, B, and C of the triangle ABC under the translation (x,y)

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a.

To find:

The coordinates A, B, and C of the triangle ABC under the translation (x,y)→(x+3,y−5).

b.

To find:

The translation under which ΔA′B′C′ is the image of ΔABC.

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Chapter 14 Solutions

a. To find: The coordinates A , B , and C of the triangle ABC under the translation ( x , y ) → ( x + 3 , y − 5 ) .

Solution Summary: The coordinates of A, B, and C of the triangle ABC under the translation (x,y)

Concept explainers

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a. To find: The coordinates A, B, and C of the triangle ABC under the translation (x,y)→(x+3,y−5).

b. To find: The translation under which ΔA′B′C′ is the image of ΔABC.

Want to see the full answer?

Chapter 14 Solutions

a.

To find:

The coordinates A, B, and C of the triangle ABC under the translation (x,y)→(x+3,y−5).

b.

To find:

The translation under which ΔA′B′C′ is the image of ΔABC.