Question

how long is yw?
o a. 8 cm
o b. 6 cm
o c. 4 cm
o d. 2 cm
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dakoda l tyler, id#****12
growth: math 6+ nc 2017 1.1
question # 4

Explanation:

Step1: Identify Similar Triangles

The two triangles are similar (same shape, proportional sides). The sides \( HJ = 12 \, \text{cm} \) and \( XY = 6 \, \text{cm} \), so the scale factor is \( \frac{XY}{HJ} = \frac{6}{12} = \frac{1}{2} \).

Step2: Apply Scale Factor to \( YW \)

The corresponding side to \( YW \) in the larger triangle is \( HZ = 8 \, \text{cm} \) (assuming \( HZ \) is the side corresponding to \( YW \)). Using the scale factor, \( YW = HZ \times \frac{1}{2} = 8 \times \frac{1}{2} = 4 \, \text{cm} \).

Answer:

C. 4 cm