91Ó°ÊÓ

Refer to a triangle. Express the ratio of the height to the base in simplest form. $$\begin{array}{|l|c|l|l|l|l|l|} \hline \text { height } & 1 \mathrm{m} \\ \hline \text { base } & 0.6 \mathrm{m}\\\ \hline \end{array}$$

Find the value of \(x\). $$\frac{2 x+1}{4 x-1}=\frac{2}{3}$$

Find the value of \(x\). $$\frac{x+3}{2}=\frac{2 x-1}{3}$$

Refer to a triangle. Express the ratio of the height to the base in simplest form. $$\begin{array}{|l|c|l|l|l|l|l|} \hline \text { height } &0.6 \mathrm{km} \\ \hline \text { base } & 0.8 \mathrm{km} \\ \hline \end{array}$$

Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a proof. If two triangles are similar, then the lengths of corresponding medians are in the same ratio as the lengths of corresponding sides.

Find the value of \(x\). $$\frac{x+4}{x-4}=\frac{6}{5}$$

Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a proof. If two quadrilaterals are similar, then the lengths of corresponding diagonals are in the same ratio as the lengths of corresponding sides.

Refer to a triangle. Express the ratio of the height to the base in simplest form. $$\begin{array}{|l|c|l|l|l|l|l|} \hline \text { height } & 1 \mathrm{m} \\ \hline \text { base } & 85 \mathrm{cm} \\ \hline \end{array}$$

Prove the corollary of the Triangle Proportionality Theorem.

Find the value of \(x\). $$\frac{7}{6 x-4}=\frac{9}{4 x+6}$$