On a coordinate plane, 2 rectangles are shown. Rectangle P Q R S has points (1, 1), (1, 5), (3, 5), (1, 5). Rectangle P double-p
rime Q double-prime R double-prime S double-prime has points (negative 1, negative 1), (negative 5, negative 1), (negative 5, negative 3), (negative 1, negative 3). Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"? 270 degree rotation about point 0 composition. Translation of negative 2 units x, 0 units y. Translation of negative 2 units x, 0 units y composition 270 degree rotate about point 0. 270 degree rotation about point 0 composition reflected across the y-axis Reflected across the y-axis composition 270 degree rotation about point 0.
2 answers:
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Answer:
Therefore the value of k = 6.
Step-by-step explanation:
Given:
LN = m
NM = l
OM = k
NO = 4
LO = 8
LM = 8 + k and
Δ LNM ,Δ LON and Δ MON are right Triangle.
To Find :
Om = k = ?
Solution:
In Right angle Triangle By Pythagoras Theorem we have,
So, In Right angle Triangle Δ LON we have,
LN² = ON² + OL²
m² = 4² + 8²
m² = 80 ............( 1 )
Now in Right angle Triangle Δ MON we have,
MN² = ON² + MO²
l² = 4² + k² ....................( 2 )
Now In Right angle Triangle Δ LNM we have,
LM² = LN² + MN²
(8 + k)² = m² + l² .................( 3 )
Substituting equation 1 and equation 2 in equation 3
(8+k)² = 80 + 4² + k²
Applying (A+B)² = A² +2AB + B² we get
Therefore the value of k = 6.
