Answer:
A, B, C
Step-by-step explanation:
Step 1: "AB ≅ DE, AC ≅ DF, and ∠A ≅ ∠D"
A. Given.
This is the information that was given in the problem statement.
Step 2: "ΔABC ≅ ΔDEF"
B. Side-Angle-Side Postulate (SAS)
The SAS postulate says that if two triangles have a pair of congruent angles between two pairs of congruent sides, then the triangles must be congruent. From the previous step, we can conclude the triangles are congruent.
Step 3: "∠C ≅ ∠F"
C. Corresponding parts of congruent triangles are congruent (CPCTC)
In Step 2, we established the triangles are congruent. So now we can conclude that the corresponding angles are congruent.
Answer:
-14
Step-by-step explanation:
2c + d
We are given the values of c and d:
c = -9
d = 4
We substitute in these values
2(-9) + 4 = ?
2 times -9 is -18
-18 + 4 = -14
2c + d = -14
-1.5 would be the inverse
It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Answer:
Givens:
Using this information we could recur to SAS postulate to demonstrate the congruence of this pair of triangles. We already have one side and one angle congruent, we just need to demonstrate that 
, that will prove the complete congruence.
So, based on the given coordinates, we're able to calculate the length of each side and find if they are the same. We use this formula:
Therefore, , because they have the same length.
Now, based on these congruences:
We demonstrate by the Side-Angle-Side (SAS) postulate that ΔABC ≅ ΔDEF.
