After having lunch at Cafe des Deux Moulins in Paris, Fiona…

After having lunch at Cafe des Deux Moulins in Paris, Fiona decides to visit the Catacombs of Paris. On the map, the catacombs are 4 inches away from the cafe. If the scale is 1 in: 500 m, what is the actual distance from the Cafe des Deux Moulins to the Catacombs of Paris? 

Find the height of the triangle if the area is 182 square fe…

Find the height of the triangle if the area is 182 square feet.   [answer1]   A large triangle is shown filled with a light blue shading. The base runs horizontally along the bottom and is labeled 26. From the top vertex, a vertical line segment drops straight down to the base, labeled h, representing the height.

Find the area of the figure shown:  A trapezoid is shown fil…

Find the area of the figure shown:  A trapezoid is shown filled with a light yellow color. The horizontal top side, labeled 5 meters, and horizontal bottom side, labeled 15 meters, are marked with matching arrows. A vertial left-side, labeled 12 meters, runs between the horizontal sides.

Fiona is visiting Paris, and her first stop is the Eiffel to…

Fiona is visiting Paris, and her first stop is the Eiffel tower. On the map of Paris, France, the Eiffel Tower is 7 inches away from the Louvre Museum. If the scale on the map is 1 in: 500 m, what is the actual distance from the Eiffel Tower to the Louvre Museum?   [ans0] meters

What is the ratio of the corresponding sides?  A geometric d…

What is the ratio of the corresponding sides?  A geometric diagram shows two triangles stacked vertically. The upper triangle is shaded purple and labeled X, Y, and Z. Points Y and Z form a horizontal base, with Y on the left and Z on the right. Point X is centered above the base, forming the top vertex. Below it is a smaller triangle shaded yellow and labeled T, U, and V. Points U and V form a horizontal base, with U on the left and V on the right. Point T is centered above the base. Both triangles have a similar orientation, with a horizontal base and a single top vertex centered above the base.

Which proportion correctly relates the measurements from the…

Which proportion correctly relates the measurements from the similar figures?  Note:  A geometric diagram shows a large triangle with vertices L, M, and N. Segment LM is vertical on the left and labeled 12 centimeters. Segment MN is a horizontal base extending from M on the left to N on the right and is not labled with any values. Point A lies on segment MN between M and N. Segment LN is a slanted side connecting L to N. Point P lies on segment LN between L and N. The portion from L to P is labeled 15 centimeters, and the portion from P to N is labeled 10 centimeters. A vertical segment drops from point P down to point A on the base MN. This segment is labeled x centimeters. Triangle PAN is shaded and shares the slanted side PN and the base segment AN with the larger triangle LMN.