10 Questions
| Total Attempts: 132

Questions and Answers

- 1.Given ABCD - circumscribed quadrilateral. Two of the adjacent sides are 5 cm and 12 cm, they are also perpendicular to each other. Find the other sides if the angle between them is 60 degrees.
- 2.The following identity is true or false:
- A.
True

- B.
False

- 3.The following identity is true or false:
- A.
True

- B.
False

- 4.The following identity is true or false:
- A.
True

- B.
False

- 5.Given an equilateral triangle ABC with a side 3 cm. The equilateral triangle DEF is inscribed in ABC, DE= cm, D lies on AB. Find the lengths of the line segments AD and DB.
- 6.Given an equilateral triangle ABC with a side 6 cm. Point M lies on AB, so that the distance between M and the nearest vertex of the triangle is 1 cm. Find the distance between M and the centroid of ABC.
- A.
- B.
- C.
- D.
6

- 7.Given a triangle ABC with sides 5 cm and 10 cm. The median to the third side is with 2,5 cm shorter than the third side. Find the third side.
- 8.Given a parallelogram ABCD with a perimeter 22 cm. The longer diagonal is 9 cm, the shorter diagonal equals the longer side of ABCD. Find the sides of ABCD.
- A.
4 cm, 7 cm

- B.
- C.
- D.
3 cm, 8 cm

- 9.Given a parallelogram ABCD with sides 11 cm and 16 cm. From one of the acute angles a perpendicular is dropped on the shorter diagonal. The length of that perpendicular is cm. Find the longer diagonal of ABCD.
- 10.Given a triangle ABC with sides BC=2 cm, AB=5 cm, AC= cm. Point D lies on AC, so that BD=3 cm. Find CD.
- A.
- B.
- C.
- D.

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