Pick the object that matches this description:

Part of the object is an isosceles triangle. The base of the triangle is twice as long as the height. There is also a segment with an endpoint on one vertex of the triangle.

A.
B.
C.



Answer :

To solve the problem, let's break down the description and analyze each part:

1. Object Description:
- The object contains an isosceles triangle.
- The base of the triangle is twice as long as the height.
- There is a segment with an endpoint on one vertex of the triangle.

2. Properties of the Isosceles Triangle:
- An isosceles triangle has two sides of equal length.
- In the given triangle, the base is specified as being twice the length of the height.
- Let's denote the height as [tex]\( h \)[/tex]. Therefore, the length of the base would be [tex]\( 2h \)[/tex].

3. Segment Endpoint Description:
- The segment has one endpoint at a vertex of the triangle. This means that the segment starts from one of the vertices.

Given these properties, we should look for the following in the choices A, B, and C:
- An isosceles triangle.
- The relationship between the base and height: the base should be twice as long as the height.
- A segment with an endpoint on one of the vertices of this triangle.

To find the matching object, inspect each option for the described properties:

- Option A:
Look for an object that has an isosceles triangle with the base being twice the height and a segment with an endpoint at a vertex of the triangle.

- Option B:
Look for the same properties as described: an isosceles triangle, correct base-height ratio, and a segment ending at a vertex.

- Option C:
Similarly, verify if this option fulfills the given criteria: isosceles triangle, correct base-height ratio, and a segment ending at a vertex.

After carefully inspecting the given options, the correct answer would be the object that fully satisfies all these properties. The satisfy all these properties would be the correct answer.

Unfortunately, without the actual depictions of options A, B, or C, I cannot definitively select the right object. However, you should now know what to look for in each option to correctly identify the described object.