Midline Theorem, Trapezoids and Kites

Which of the following statements is true?

• A. A trapezoid can have four equal sides.

• A trapezoid can have three right angles.

• The angles of an isosceles trapezoid are congruent.

• The diagonals of an isosceles trapezoid are congruent.

The diagonals of an isosceles trapezoid are represented by 4x – 47 and 2x + 31. What is the value of x?

• 37

• 39

• 107

• 109

A cross section of water trough is in the shape of a trapezoid with bases measuring 2m and 6m. What is the length of the median of the trapezoid?

• 2 m

• 4 m

• 5 m

• 8 m

Which of the following is a pair of base angles of an isosceles trapezoid?

• 90 and 90 degrees

• 36 and 36 degrees

• 45 and 90 degress

• 40 and 50 degrees

Which of the following statements is/are true about trapezoids?

• The diagonals are congruent.

• The median is parallel to the bases

• Both A and B.

• Neither A nor B.

Find the Area of a kite whose diagonals are 12 cm and 10 cm.

• 60 cm

• 90 cm

• 120 cm

• 150 cm

One side of a kite is 5 cm while another is 7 cm. What is the perimeter?

• 12 cm

• 18 cm

• 20 cm

• 24 cm

 $In\ \Delta ABC,\ D\ and\ E\ are\ midpoints\ of\ \overline{AB}\ and\ \overline{AC}\ respectively.\ \ What\ is\ congruent\ to\ \overline{DE}\ ?$ 

•  $\frac{1}{2}\overline{BC}$  

•  $\frac{1}{2}\overline{AB}$   

•  $\frac{1}{2}\overline{AC}$  

•  $\frac{1}{2}\overline{DE}$