Quadrilateral Classification: Identify the Geometric Shape ABCD
Question
Indicate the correct answer
The next quadrilateral is:
Video Solution
Solution Steps
00:00Is the quadrilateral a kite?
00:03We don't know anything about any sides
00:10Therefore we cannot know if it's a kite or not
00:14And this is the solution to the question
Step-by-Step Solution
To solve this problem, let's analyze the given quadrilateral ABCD by examining its geometric properties:
Step 1: Identifying characteristics of a deltoid
A deltoid, or kite, is a quadrilateral that has two distinct pairs of adjacent sides that are equal. To classify a shape as a deltoid, we need to verify these properties.
Step 2: Examining the quadrilateral ABCD
The deltoid can be either concave or convex. If the shape is concave, it will have an indentation, meaning at least one angle is greater than 180∘. A convex deltoid does not have such an indentation.
Step 3: Analyze the sides of ABCD
Looking at the segments from the given points:
- Verify if pairs of adjacent sides are equal.
If we cannot find two equal pairs of adjacent sides, the quadrilateral is not a deltoid.
Step 4: Drawing conclusions
Having analyzed the sides of the quadrilateral, if none of the pairs of adjacent sides conform to the deltoid property as outlined—two pairs of equal adjacent sides—then ABCD is identified as not a deltoid.