Question

which of the following is a correct similarity statement for triangles △jkl and △mno if they are similar by aa similarity? a. △jkl - △mno b. △jkl = △mno c. △jkl > △mno d. △jkl ≅ △mno what does the aa in aa similarity stand for? a. angle - altitude b. angle - angle c. angle - area d. angle - axis in a quadrilateral abcd, if △abd - △cbd, what can be concluded about the triangles? a. they have the same perimeter b. they have proportional corresponding sides c. they are congruent d. they have equal areas

Explanation:

Step1: Recall similarity notation

The symbol for similarity of two triangles is $\sim$. So for $\triangle{JKL}$ and $\triangle{MNO}$ similar by AA - similarity, the correct notation is $\triangle{JKL}\sim\triangle{MNO}$.

Step2: Recall AA - similarity meaning

AA - similarity stands for Angle - Angle similarity. If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Step3: Recall properties of similar triangles

If $\triangle{ABD}\sim\triangle{CBD}$, by the definition of similar triangles, their corresponding sides are proportional.

Answer:

1. A. $\triangle{JKL}\sim\triangle{MNO}$
2. B. Angle - Angle
3. B. They have proportional corresponding sides