Draw two rectangles that are congruent.
Draw two parallelograms that are similar.
Draw two kites that are congruent.
Draw two hexagons that are similar.
Draw two pentagons that are congruent.
Draw two squares that are similar.
Are all squares similar? Justify your answer.
Name the two similar triangles and explain why they are similar.
Name the two similar triangles and explain why they are similar.
The pair of triangles is similar. Find the unknown side lengths.
The pair of triangles is similar. Find the unknown side lengths.
The tips of the shadows of a short-wave radio antenna and a 2.5-m tree meet at the point C. The following measurements are taken:
VB = 7.4 m
BC = 3.8 m
Use this information to find the height of the short-wave radio antenna, to the nearest tenth of a metre.
Nadine has designed a dock in the shape of a right triangle with side lengths 3 m, 4 m, and 5 m. If he enlarges the dock to a similar shape whose side lengths are doubled, what will the area of the new dock be?
Find the tangent of the angle indicated, to four decimal places.
Find the tangent of the angle indicated, to four decimal places.
Find the measure of each angle, to the nearest degree.
\tan \theta = 0.7128
Find the measure of each angle, to the nearest degree.
\tan K = 1.3175
Find the measure of each angle, to the nearest degree.
\tan \theta = \dfrac{21}{32}
Find the measure of each angle, to the nearest degree.
\tan V = \dfrac{17}{9}
Find x, to the nearest tenth of a metre.
Find x, to the nearest tenth of a metre.
Find the measure of \angle B, to the nearest degree.
Find the measure of \angle B, to the nearest degree.
The angle of elevation of the top of a sail on a sailboat is 72^{\circ}. The horizontal length of the sail is 0.8 m. What is the vertical height of the sail, to the nearest tenth of a metre?
Find \sin \theta, \cos \theta, and \tan \theta for each triangle, expressed as fractions in lowest terms.
Find \sin \theta, \cos \theta, and \tan \theta for each triangle, expressed as fractions in lowest terms.
Find the measure of each angle, to the nearest degree.
\sin F = 0.8156
Find the measure of each angle, to the nearest degree.
\sin U = \dfrac{5}{11}
Find the measure of each angle, to the nearest degree.
\cos Z = 0.4923
Find the measure of each angle, to the nearest degree.
\cos S = \dfrac{3}{7}
Find x, to the nearest tenth of a metre.
Find x, to the nearest tenth of a metre.
Solve each triangle. Round side lengths to the nearest tenth of a unit and angles to the nearest degree.
Solve each triangle. Round side lengths to the nearest tenth of a unit and angles to the nearest degree.
Kevin is standing 15 m from the base of a building. From the point where he is standing, the angle of elevation of the top of the building is 32^{\circ}. How tall is the building, to the nearest tenth of a metre?
Denny and Selena are standing at the points A and B on the opposite sides of a hydro pole. From point A the angle of elevation of the top of the hydro pole is 28^{\circ}, and from point B the angle of elevation of the top of the hydro pole is 34^{\circ}. The hydro pole is 7 m in height. How far apart are Denny and Selena, to the nearest tenth of a metre?