The distance formula between two points is :
The distance between vertices A(1, 4) and B(3, 6) is :
The distance between the vertices B(3, 6) and C(6, 3) is :
The area formula of a rectangle is length x width or AB x BC
The area will be :
The answer is A. 12 square units
The congruency statement that describes the figure is: D. ΔRST ≅ ΔBAC.
<h3>What is a Congruency Statement?</h3>
A congruency statement is a statement that states that two triangles are congruent to each other.
180 degrees rotation around the origin will give us the rule: (x, y) → (-x, -y)
Therefore, applying this rule to triangle RST that was rotated, we would have:
R'(-1, -1)
S'(-3, -4)
T'(-5, 0)
Translating R'S'T' 3 units up, using the rule, (x, y + 3) will give us:
B(-1, 2)
A(-3, -1)
C(-5, 3)
Therefore, we can conclude that, D. ΔRST ≅ ΔBAC.
Learn more about congruency statement on:
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