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Geometry and Trigonometry

Year 9 · Measurement and Geometry · 20 questions · 30 min

Hard
0 of 20
Question 1

Two angles in a triangle are 45° and 65°. What is the third angle?

Question 2

Find the sine of a 30° angle in a right triangle

Question 3

What is the cosine of 60°?

Question 4

Two parallel lines are cut by a transversal. If one angle is 110°, what is the alternate interior angle?

Question 5

Triangle ABC is similar to triangle DEF. If AB = 4 cm and DE = 6 cm, and BC = 8 cm, what is EF?

Question 6

Find tan(45°)

Question 7

What is the tangent of 60°?

Question 8

Vertically opposite angles formed by two intersecting lines are always:

Question 9

In a right triangle, sin(θ) = 0.6. What is cos(90° - θ)?

Question 10

In a right triangle with angle 35°, what is the complement of this angle?

Question 11

If sin(x) = 0.8 in a right triangle, what is the opposite side if the hypotenuse is 10 cm?

Question 12

Triangle PQR has angles 30°, 60°, and 90°. It is similar to triangle XYZ. If PQ = 5 cm, and XY = 10 cm, what is the scale factor?

Question 13

What is cos(30°)?

Question 14

A transversal cuts two parallel lines. If one co-interior angle is 80°, what is the other?

Question 15

In a right triangle, if cos(θ) = 0.6, what is sin(θ)?

Question 16

If cos(x) = 0.5, what is the angle x?

Question 17

In a right triangle with hypotenuse 10 cm, if tan(θ) = 3/4, what is the opposite side?

Question 18

What is sin(45°)?

Question 19

Two triangles are similar. If the ratio of corresponding sides is 2:5, what is the ratio of their areas?

Question 20

In a right triangle, the adjacent side to angle θ is 5 cm and the hypotenuse is 13 cm. Find cos(θ)

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