Question
If angle A and angle B of △ ABC are congruent with corresponding angles X and Y of △
XYZ respectively, then
-
∠C > ∠Z
- ∠C ≅ ∠Z
- m∠C + m∠Z = 90°
-
∠C < ∠Z
∠C < ∠Z
Hint:
If Two triangles are similar then they have the corresponding angles are congruent (equal) .
The correct answer is: ∠C ≅ ∠Z
Given ,angle A and angle B of △ ABC are congruent with corresponding angles X and Y of △ XYZ respectively
As only two angles are congruent then we consider the triangles are similar
By AA similarity rule
We get △ ABC ~ △ XYZ
The angles in similar triangles are equal ,
We get ∠C ≅ ∠Z
The corresponding angles are congruent (equal) .
∴ Option B
Related Questions to study
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Note:
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△ ABC ≅△ PQR
AB = 10 ft, BC = 6 ft, AC = 6 ft
PQ = 2y, QR = x + 2, RS = 2x − 2
Find the values of x and y.
In the equation above, what is the value of s when t= -1 ?
Note:
Instead of adding 1 on both sides, we can also understand the concept by taking _1 of the left hand side on the right hand side and then the sign changes to +1 . Similarly, instead of dividing by 2, we can understand it by saying that we take 2 from the left hand side to the right hand side, and here it becomes division.
Thus, addition becomes subtraction and vice-versa when taken from left hand side to right hand side or the opposite way; and multiplication becomes division and vice-versa. Be careful, 0 is never taken in the denominator.
In the equation above, what is the value of s when t= -1 ?
Note:
Instead of adding 1 on both sides, we can also understand the concept by taking _1 of the left hand side on the right hand side and then the sign changes to +1 . Similarly, instead of dividing by 2, we can understand it by saying that we take 2 from the left hand side to the right hand side, and here it becomes division.
Thus, addition becomes subtraction and vice-versa when taken from left hand side to right hand side or the opposite way; and multiplication becomes division and vice-versa. Be careful, 0 is never taken in the denominator.
