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the diagram: ΔLMNΔLMN  is a right-angled triangle with vertices L(−6;7),M(a;b)L(−6;7),M(a;b) and N(−1;2)N(−1;2). LMLM is a vertical line parallel to the yy-axis and ΔLMNΔLMN has been translated to form ΔL′M′N′ 4.1 Determine the coordinate of M.   4.2 Determine the coordinate of N'.   4.3 Describe the translation in words.   4.4 Write an algebraic rule for this translation in the form (x;y)(x;y).   4.5 If A is reflected about the line y=xy=x, determine the coordinates of A’.   4.6 Write an algebraic rule for reflection about the line y=xy=x.

the diagram: ΔLMNΔLMN  is a right-angled triangle with vertices L(−6;7),M(a;b)L(−6;7),M(a;b) and N(−1;2)N(−1;2). LMLM is a vertical line parallel to the yy-axis and ΔLMNΔLMN has been translated to form ΔL′M′N′ 4.1 Determine the coordinate of M.   4.2 Determine the coordinate of N'.   4.3 Describe the translation in words.   4.4 Write an algebraic rule for this translation in the form (x;y)(x;y).   4.5 If A is reflected about the line y=xy=x, determine the coordinates of A’.   4.6 Write an algebraic rule for reflection about the line y=xy=x.

Elementary Geometry For College Students, 7e
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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In the diagram:

ΔLMNΔLMN  is a right-angled triangle with vertices L(−6;7),M(a;b)L(−6;7),M(a;b) and N(−1;2)N(−1;2).

LMLM is a vertical line parallel to the yy-axis and ΔLMNΔLMN has been translated to form ΔL′M′N′

4.1

Determine the coordinate of M.

 

4.2

Determine the coordinate of N'.

 

4.3

Describe the translation in words.

 

4.4

Write an algebraic rule for this translation in the form (x;y)(x;y).

 

4.5

If A is reflected about the line y=xy=x, determine the coordinates of A’.

 

4.6

Write an algebraic rule for reflection about the line y=xy=x.
In the diagram: ALMN is a right-angled triangle with vertices L (-6; 7), M (a; b) and N (-1; 2). LM is a vertical line parallel to the y-axis and ALMN has been translated to form AL'M'N' 4.2 Determine the coordinate of N'. 4.3 Describe the translation in words. 4.4 Write an algebraic rule for this translation in the form (x; y). 4.5 If A is reflected about the line y = x, determine the coordinates of A'. 4.6 Write an algebraic rule for reflection about the line y = x.
Transcribed Image Text:In the diagram: ALMN is a right-angled triangle with vertices L (-6; 7), M (a; b) and N (-1; 2). LM is a vertical line parallel to the y-axis and ALMN has been translated to form AL'M'N' 4.2 Determine the coordinate of N'. 4.3 Describe the translation in words. 4.4 Write an algebraic rule for this translation in the form (x; y). 4.5 If A is reflected about the line y = x, determine the coordinates of A'. 4.6 Write an algebraic rule for reflection about the line y = x.
L(-6; 7) A(4;6) N(1; 2) M(a; b) 0;0)ט M' N'
Transcribed Image Text:L(-6; 7) A(4;6) N(1; 2) M(a; b) 0;0)ט M' N'
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