Question

question 14 of 15 (1 point) | question attempt 1 of 3
complete the parts below.
(a) find the rise, run, and slope given by triangle abc.
rise: 4 run: 2 slope: 2
(b) find the rise, run, and slope given by triangle def.
run: 4 slope: 2

Explanation:

Step1: Recall slope formula

Slope is calculated as $\frac{\text{rise}}{\text{run}}$. For similar triangles (like ABC and DEF), slopes should be equal. From part (a), slope of ABC is 2, run of DEF is 4. Let rise of DEF be \( r \). Then $\frac{r}{4}=2$.

Step2: Solve for rise

Multiply both sides by 4: \( r = 2\times4 = 8 \). So rise is 8, run is 4, slope is 2 (since slope = rise/run = 8/4 = 2).

Answer:

rise: 8, run: 4, slope: 2