Relationships in Figures Answers

If you know two corresponding sides of two triangles and you know that the corresponding angles are equal, how can you find out if they are similar triangles?a.the other angles are proportionalc.ratios of the sides will be equal b.the vertical angles will be congruent d.ratio of the sides will not be equal

A triangle has two angles measuring 90 and 50, calculate the third angle of the triangle. a. 50 c. 45 b. 40 d. 75 Please select the best answer from the choices provided

Use the diagram, which is not drawn to scale, to decide which proportions are true. I. II. III. IV. a. I and IV only c. I and II only b. II only d. I only Please select the best answer from the choices provided

You and a friend want to know how much rope you need to climb a large rock. Your friend is 5.5 feet tall and casts a shadow that is 18 feet long. If the rock casts a shadow that is 209.5 feet long, calculate the height of the rock from the ground. Round your answer to the nearest foot. (Hint: make a drawing)

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. a. b. c. d. Please select the best answer from the choices provided

A triangle has two angles measuring 90 and 50, calculate the third angle of the triangle. a. 50 c. 45 b. 40 d. 75 Please select the best answer from the choices provided

You are visiting the Unisphere at Flushing Meadow Park in New York. To estimate the height of the stainless steel model of Earth, you place a mirror on the ground and stand where you can see the top of the model in the mirror. The Unisphere is 100 feet from the mirror and you are standing 4 feet from the mirror. If your height is 5.6 feet, what is the estimated height of the Unisphere? The diagram is not drawn to scale. a. 140 feet c. 2,240 feet b. 22.4 feet d. 71 feet Please select the best answer from the choices provided

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. a. b. c. d. Please select the best answer from the choices provided

What is the name of the triangle in which two sides have the same length and the corresponding two angles have the same size? a. right c. scalene b. isosceles d. obtuse Please select the best answer from the choices provided

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. a. b. c. d. Please select the best answer from the choices provided

Use the diagram, which is not drawn to scale, to decide which proportions are true. I. II. III. IV. a. I and IV only c. I and II only b. II only d. I only Please select the best answer from the choices provided

When are triangles considered similar?a.corresponding angles are equal AND corresponding sides are proportionalc.corresponding angles are equal OR corresponding sides are proportional b.corresponding angles are proportional AND corresponding sides are equald.corresponding angles are proportional OR corresponding sides are equal

What is the name of the triangle in which none of the sides have the same length?a.rightc.scaleneb.isoscelesd.obtuse

Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram and the two triangles formed by this diagram are similar. What is the distance between the two campsites? The diagram is not to scale. a. 42.3 m b. 47.4 m c. 73.8 m d. 82.8 m Please select the best answer from the choices provided

You are designing a diamond-shaped kite. You know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm. You want to use a straight crossbar . About how long should it be? Round your answers to the nearest whole number. The diagram is not drawn to scale. a. BD = 85 cm c. BD = 76 cm b. BD = 3,799 cm d. BD = 2,007 cm Please select the best answer from the choices provided

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. a. b. c. d. Please select the best answer from the choices provided

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. a. b. c. d. Please select the best answer from the choices provided

A cell phone tower in a field casts a shadow of 100 ft. At the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft 4 in. Find the height of the tower in feet. (Hint: make a drawing)a.145 ftc.100 ftb.76 ftd.135 ft

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. a. b. c. d. Please select the best answer from the choices provided