1) In triangle DEF, altitude from vertex D is drawn to side EF. Which of the following statements is correct?

2) If a triangle’s perimeter and one median are given, you can construct it by:

3) Quadrilateral construction given three sides and two adjacent angles uses:

4) From an external point, equal segments on the sides of a parallelogram are marked by:

5) In an equilateral triangle, the length of each side is 12 cm. Find the perimeter of the triangle.

6) In a quadrilateral PQRS, if ∠P = ∠R = 100° and ∠S = 75°, then ∠Q =

7) To inscribe a circle in a triangle, you need to construct:

8) If a tangent to a circle is perpendicular to the radius at the point of contact, what is the measure of the angle between the tangent and the radius?

9) A parallelogram whose all sides are equal is called:

10) Construct two lines l and m such that l ∥ m and a transversal t cuts them. If one angle formed is 75°, what is the corresponding angle on the other line?

11) In right △ABC with right angle at C: Statement 1: AB2= AC2+ BC2 Statement 2: AC2= AB2+BC2

12) In triangle XYZ, the exterior angle at vertex Z is 120°. If the interior angle at X is 50°, find the interior angle at Y.

13) In the given figure, if ∠ABC = 65°, then find x.

14) The minimum number of measurements needed to construct a square is:

15) A parallelogram has base 12 cm and height 8 cm. Find its area.

16) A square with diagonal 𝑑 is constructed by:

17) For a circle with center O, radius r, and diameter d: Statement 1: d=2r. Statement 2: r= d.

18) Which of the following is not a valid condition to construct a quadrilateral?

19) The circumcircle of a triangle passes through:

20) Using a protractor, construct an angle of 135°. What is the classification of this angle?