Answer:
x = 3, y = 11
Step-by-step explanation:
Congruent
If two figures are congruent, they have the same shape and the same size.
If the pair of given triangles are congruent, their corresponding sides will be the same.
- The side marked "2x + 3" will be equal in measure to the side marked "9".
- The side marked "y - 4" will be equal in measure to the side marked "7".
Therefore, to find the values for x and y, simply equate the sides and solve:
2x + 3 = 9
⇒ 2x + 3 - 3 = 9 - 3
⇒ 2x = 6
⇒ 2x ÷ 2 = 6 ÷ 2
⇒ x = 3
y - 4 = 7
⇒ y - 4 + 4 = 7 + 4
⇒ y = 11
Therefore, the pair of values for x and y that justify the claim that the two triangles are congruent are x = 3 and y = 11
