Question

pls tell me the answer​

Answer 1

These are basic triangle symmetries:

• SSS- Side/Side/Side
• SAS- Side/Angle/Side
• ASA- Angle/Side/Angle

Question 1.

From ΔABD and ΔACD

- $\sf{\overline{AD}}$ is common

- $\sf{\angle{ADB}=\angle{ADC}}$

- $\sf{\overline{BD}=\overline{CD}}$

So, this is clearly the SAS symmetry.

We have proved that $\sf{\triangle{ABD}\cong\triangle{ACD}}$.

Question 2.

In two symmetric triangles, $\sf{\overline{AB}}$ and $\sf{\overline{AC}}$ correspond to each other.

From the SAS that we proved, two sides are equal.

We have proved that $\sf{\overline{AB}=\overline{AC}}$.

Question 3.

In two symmetric triangles, two angles $\sf{\angle{B}}$ and $\sf{\angle{C}}$ correspond to each other.

We have proved that $\sf{\angle{B}=\angle{C}}$.

Learn more:

Triangle Symmetries:

• SSS
• SAS
• ASA

Triangle Similarities:

• AAA
• SAS
• ASA

We see SAS and ASA as common in symmetry and similarity.

Actually, symmetry is the case when the similarity ratio is 1:1.