Given:
Triangle:
height = 6ft
base = 4ft
Rectangle:
length = x
Width = 6 ft
Surface Area = 150ft²
Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²
Area of a rectangle = Surface Area - Area of a Triangle
A = 150 ft² - 12 ft² = 138 ft²
138 ft² = x * 6ft
138 ft² / 6 ft = x
23 ft = x.
It means that the two vectors are perpendicular or orthogonal
ΔXYZ was reflected to form ΔLMN, hence ΔXYZ ≅ ΔLMN, ∠X ≅ ∠L and XZ ≅ LN
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, translation, reflection and dilation.</em>
Reflection is a rigid transformation, hence it produces congruent figures with congruent angles.
∠Y + ∠X + ∠Z = 180 (angle in a triangle)
86 + 38 + ∠Z = 180
∠Z = 56°
Also:
∠N + ∠M + ∠L = 180 (angle in a triangle)
86 + 56 + ∠L = 180
∠L = 38°
ΔXYZ was reflected to form ΔLMN, hence ΔXYZ ≅ ΔLMN, ∠X ≅ ∠L and XZ ≅ LN
Find out more on transformation at: brainly.com/question/4289712
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