On your geometry test you have two triangles: ΔABC and ΔMNO. You are told that ∠A ≅ ∠ M and that ∠B ≅ ∠ N. Which statement is also true?
a
∠C ≅ ∠O
b
ΔABC ≅ ΔMNO
c
∠A is a right angle
d
ΔMNO is a right triangle.
a. ∠C ≅ ∠O
no way thats algebra
no way cause u learn that in 6th grade and im in 6th grade and in a different unit and i passed in algebra that stuff is confusing but that is not algebra
To determine which statement is also true, we need to use our knowledge of triangle properties and the given information.
The fact that ∠A ≅ ∠M implies that these angles are congruent, or equal in measure. Similarly, ∠B ≅ ∠N indicates that ∠B and ∠N are congruent.
Let's analyze each statement to see which one follows from this information:
a) ∠C ≅ ∠O: We don't have any information about the relationship between ∠C and ∠O. So, this statement cannot be determined to be true.
b) ΔABC ≅ ΔMNO: With the given information that ∠A ≅ ∠M and ∠B ≅ ∠N, we can conclude that ΔABC ≅ ΔMNO. This is because if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar and have equal corresponding sides.
c) ∠A is a right angle: We don't have any information about the measure of ∠A or any other angle in the triangle. So, this statement cannot be determined to be true.
d) ΔMNO is a right triangle: We don't have any information about the measures of angles in ΔMNO. So, this statement cannot be determined to be true.
Therefore, the correct answer is b) ΔABC ≅ ΔMNO, which follows from the congruence of corresponding angles ∠A ≅ ∠M and ∠B ≅ ∠N.