Math

QuestionWhich diagram shows "If it is a triangle, then it has three vertices"? A. 3 vertices outside B. 3 vertices inside

Studdy Solution

STEP 1

Assumptions1. A triangle is a polygon with three edges and three vertices. . The statement "If it is a triangle, then it has three vertices" implies that all triangles must have three vertices.
3. Figure A represents a figure with3 vertices on the outside.
4. Figure B represents a figure with3 vertices on the inside.

STEP 2

We need to identify which figure represents a triangle based on the definition of a triangle. A triangle should have three vertices.

STEP 3

Figure A has3 vertices on the outside, which is consistent with the definition of a triangle. Therefore, Figure A represents the statement "If it is a triangle, then it has three vertices".

STEP 4

Figure B has3 vertices on the inside, which does not align with the definition of a triangle. Therefore, Figure B does not represent the statement "If it is a triangle, then it has three vertices".
The correct answer is Figure A.

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