Chapter 7 Review
Textbook
10 Math Workbook
Chapter
Chapter 7
Section
Chapter 7 Review
Solutions 36 Videos

Draw two rectangles that are congruent.

Q1a

Draw two parallelograms that are similar.

Q1b

Draw two kites that are congruent.

Q1c

Draw two hexagons that are similar.

Q1d

Draw two pentagons that are congruent.

Q1e

Draw two squares that are similar.

Q1f

Q2

Name the two similar triangles and explain why they are similar.

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Q3

Name the two similar triangles and explain why they are similar.

Q4

The pair of triangles is similar. Find the unknown side lengths.

Q5

The pair of triangles is similar. Find the unknown side lengths.

Q6

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.

Q7

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?

Q8

Find the tangent of the angle indicated, to four decimal places.

Q9a

Find the tangent of the angle indicated, to four decimal places.

Q9b

Find the measure of each angle, to the nearest degree.

\tan \theta = 0.7128

Q10a

Find the measure of each angle, to the nearest degree.

\tan K = 1.3175

Q10b

Find the measure of each angle, to the nearest degree.

\tan \theta = \dfrac{21}{32}

Q10c

Find the measure of each angle, to the nearest degree.

\tan V = \dfrac{17}{9}

Q10d

Find x, to the nearest tenth of a metre.

Q11a

Find x, to the nearest tenth of a metre.

Q11b

Find the measure of \angle B, to the nearest degree.

Q12a

Find the measure of \angle B, to the nearest degree.

Q12b

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?

Q13

Find \sin \theta, \cos \theta, and \tan \theta for each triangle, expressed as fractions in lowest terms.

Q14a

Find \sin \theta, \cos \theta, and \tan \theta for each triangle, expressed as fractions in lowest terms.

Q14b

Find the measure of each angle, to the nearest degree.

\sin F = 0.8156

Q15a

Find the measure of each angle, to the nearest degree.

\sin U = \dfrac{5}{11}

Q15b

Find the measure of each angle, to the nearest degree.

\cos Z = 0.4923

Q15c

Find the measure of each angle, to the nearest degree.

\cos S = \dfrac{3}{7}

Q15d

Find x, to the nearest tenth of a metre.

Q16a

Find x, to the nearest tenth of a metre.

Q16b

Solve each triangle. Round side lengths to the nearest tenth of a unit and angles to the nearest degree.

Q17a

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?