3Ohio Content Standards: Estimate, compute and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions.
4Ohio Content Standards: Estimate, compute and solve problems involving rational numbers, including ratio, proportion and percent, and judge the reasonableness of solutions.
5Ohio Content Standards: Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve problems involving measurements and rates.
6Ohio Content Standards: Use scale drawings and right triangle trigonometry to solve problems that include unknown distances and angle measures.
7Ohio Content Standards: Apply proportional reasoning to solve problems involving indirect measurements or rates.
9Theorem 6.4 Triangle Proportionality Theorem If a line is parallel to one side of a triangle and intersects the other two sides in two distinct points, then it separates these sides into segments of proportional lengths.
12Theorem 6.5 Converse of the Triangle Proportionality Theorem
13Theorem 6.5 Converse of the Triangle Proportionality Theorem If a line intersects two sides of a triangle and separates the sides into corresponding segments of proportional lengths, then the line is parallel to the third side.
14Theorem 6.5 Converse of the Triangle Proportionality Theorem DBEA
31In the figure, Larch, Maple, and Hatch Streets are all parallel In the figure, Larch, Maple, and Hatch Streets are all parallel. The figure shows the distances in blocks that the streets are apart. Find x.261316LarchxMapleHatch