Problem Solving with Special Quadrilaterals

ABCD is a rectangle. Find m∠6

• 24°

• 90°

• 66°

• 114°

ABCD is a rectangle. DB=?

• AD

• AC

• BC

• AB

RSTV is a rhombus. Find m∠10

• 90°

• 36°

• 126°

• 54°

RSTV is a rhombus. Find m∠9

• 90°

• 36°

• 126°

• 54°

Which of the following statements is true for a rhombus?

• All angles are right angles.

• Diagonals are equal in length.

• Diagonals bisect each other at right angles.

• Only one pair of opposite sides is parallel.

Answer explanation

The correct statement for a rhombus is that its diagonals bisect each other at right angles.

What is the value of x?

Mathematical Equivalence

ON

Find the measure of  angle b.

• b=51

• b=129

In which quadrilateral do the diagonals bisect each other but are not necessarily equal in length?

• Square

• Rectangle

• Parallelogram

• Trapezoid

Answer explanation

In a parallelogram, the diagonals bisect each other but are not necessarily equal in length, making it the correct choice.

Given the parallelogram QRST, what is the measure of ST? Type a numeric answer only.

What are the values of x, y, and z?

• x=145, y=145,z=145

• x=145, y=35, z=35

• x=35,y=145, z=35

• x=35, y=35, z=145