Identify the geometric shapes and their properties shown in the image.

Geometric Analysis:

The image displays a triangle, labeled as ABC. Inside this triangle, a line segment BD is drawn, where D is a point on AC. Additionally, there are markings on the sides of the triangle:

• The segment AB has a tick mark.
• The segment BC has a tick mark.
• The segment AD has a tick mark.
• The segment DC has a tick mark.

Deductions based on markings:

1. Triangle ABC: It is a triangle with vertices A, B, and C.
2. Segment BD: This segment appears to be an internal line segment connecting vertex B to a point D on the base AC.
3. Equal Sides: The tick marks on AB and BC indicate that AB = BC. This means that triangle ABC is an isosceles triangle.
4. Equal Segments on Base: The tick marks on AD and DC indicate that AD = DC. This means that point D is the midpoint of the base AC.

Conclusion:

The figure shows an isosceles triangle ABC where the line segment BD, drawn from the vertex B to the midpoint D of the base AC, is also an altitude and an angle bisector. Therefore, triangle ABC is an isosceles triangle with AB = BC and AD = DC.