Quadrilaterals and Coordinate Algebra Unit Test Review

Which statement proves that PQRS is a parallelogram?

The slopes of SP and RQ are both -2 and SP = RQ = square root 45

Figure ABCD is a square. Prove BD ≅ AC. What is the missing reason in the proof?

all sides of a square are congruent

Which concept can be used to prove that the diagonals of a parallelogram bisect each other?

congruent triangles

The diagonals of a parallelogram are congruent. Which could be the parallelogram?

rectangle

What is the perimeter of kite KLMN?

2 square root 2 + 2 square root 5

In the diagram, WZ=square root 26 What is the perimeter of parallelogram WXYZ?

2 square root 26 + 8units

What is the perimeter of parallelogram WXYZ?

2 square root 5 + 2 square root 17 units

A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines?

38.2

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram?

4 cm and 7 cm

What is the perimeter of square ABCD?

4 square root 37

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n +10)°. What are the two different angle measures of the parallelogram-shaped tile?

50° and 130°

Rhombus LMNO is shown with its diagonals. Angle MLO measures 112°. What is the measure of angle MLP?

56

Figure ABCD is a parallelogram. What is the value of p?

6

In parallelogram WXYZ, WY = 12 in., XZ = 16 in., WX =10 in., and XY = 9 in. What is the length of line segment MX?

8 in.

HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

(1, 0)