Use the image to answer the question.
An illustration shows two school crossing signs labeled Figure A and Figure B. The signs are pentagons. A silhouette of a walking man and woman are centrally located on the signs. Starting at the bottom left vertex of both figures, the vertices are labeled A, B, C, D, and E. A line inside Figure A connects the vertices B and D. A vertical perpendicular line extends down from the top vertex C to the base side A E. Lines inside Figure B connect the vertices A and C, B and D, and C and E.
Select the correct decomposition into triangles of the sign shaped as a pentagon
Choose 1 for Figure A , 2 for Figure B , or 3 for both Figure A and Figure B .
I'm sorry, but I cannot view images. However, I can help you determine the correct decomposition of a pentagon into triangles based on the description you provided.
In general, a pentagon can be decomposed into triangles by drawing diagonals from one vertex to all non-adjacent vertices. Since a pentagon has five sides, you can draw three diagonals from a single vertex to form three triangles.
From your description, it seems that:
- Figure A has one diagonal connecting vertices B and D.
- Figure B has diagonals connecting vertices A and C, B and D, and C and E.
Figure A will not completely decompose the pentagon into triangles because only one diagonal is drawn; there will remain a quadrilateral (ABCD) that is not decomposed into triangles.
Figure B, on the other hand, will decompose the pentagon into triangles if the lines AC, BD, and CE are indeed diagonals, as each of these lines would divide the pentagon into separate triangles, with no remaining quadrilateral or other polygon shapes.
Based on this description, the correct decomposition into triangles of the pentagon-shaped sign is done by Figure B.
So the answer would be 2 for Figure B.