Answer:
Option B is correct.
Angle DAC is congruent to angle DAB
Step-by-step explanation:
Given: Segment AC is congruent to segment AB.
In ΔABD and ΔACD
[Given]
[Congruent sides have the same length]
AB = AC [Side]
AD = AD [Common side]
[Angle]
Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Then by SAS,

By CPCT [Corresponding Parts of congruent Triangles are congruent]
then;

therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB
9514 1404 393
Answer:
3) y = -1
5) x = -14
Step-by-step explanation:
The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.
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3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:
y = -1
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5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:
x = -14
Step-by-step explanation:
A baseball field is in the shape of a square (or diamond). Home plate and second base are opposite corners of each other. So the distance is equal to the diagonal of the square.
Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.
Using Pythagorean theorem:
c² = a² + b²
c² = (90 ft)² + (90 ft)²
c = 90√2 ft
c ≈ 127 ft