Use the information to answer the question.

Question

Information
Figure B is a scale image of Figure A.



Two figures. Both figures are triangles. Figure A is larger than Figure B. The base of Figure A is labeled 14. The base of Figure B is labeled x.



Figure A is mapped to Figure B with a scale factor of 1-half.

Question
What is the value of x? Enter the answer in the box.

Response area with 1 text input box

Answer 1

To find the value of \( x \), we need to use the scale factor given in the information. Since Figure B is a scaled-down version of Figure A with a scale factor of \( \frac{1}{2} \), it means that every dimension of Figure A is multiplied by \( \frac{1}{2} \) to get the corresponding dimension in Figure B.

Given:

• The base of Figure A = 14
• Scale factor = \( \frac{1}{2} \)

We can calculate \( x \): \[ x = \text{Base of Figure A} \times \text{Scale Factor} \] \[ x = 14 \times \frac{1}{2} = 7 \]

Thus, the value of \( x \) is \( 7 \).