Triangles Unit Test

Question

6 of 156 of 15 Items

Question
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
.

(1 point)
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Answer 1

To determine the correct decomposition into triangles of the pentagonal school crossing signs in Figures A and B, we need to analyze how each figure is structured.

• Figure A has a line connecting vertices B and D and a vertical line from vertex C to the base (side AE). This decomposition creates three triangles:

  1. Triangle ABE
  2. Triangle BCD
  3. Triangle CDE

• Figure B connects the vertices A and C, B and D, and C and E. This leads to a decomposition that also forms triangles:

  1. Triangle ABC
  2. Triangle BCD
  3. Triangle CDE

Based on this analysis, both figures decompose into triangles.

Therefore, the answer would be 3 for both Figure A and Figure B.