Question

Draw a parallelogram ABCD. such that l(DC) = 5.5 cm, m∠D = 45°, l(AD) = 4 cm.

Answer 1

$m \: of \: angle \: c \: = 180 - m \: of \: angle \: d (adjacent \: angles \: are \: supplementry\\ 180 - 45 = 135 \\ therefore \: measure \: f \: angle \: c \: is \: 135$
$bc = ad \: (opposite \: sides \: of \: \: parallelogram \: r \: eqaul)$
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Answer 2

Answer:

The parallelogram is shown below.

Step-by-step explanation:

Given information: ABCD parallelogram, l(DC) = 5.5 cm, m∠D = 45°, l(AD) = 4 cm.

Properties of parallelogram:

1. Opposite sides of a parallelogram are parallel.

2. Opposite sides of a parallelogram are equal.

3. Two consecutive interior angler are supplementary angles.

AB=CD=5.5 cm

BC=AD= 4 cm

$m\angle B=m\angle D=45^{\circ}$

$m\angle A=m\angle C=180-45=135^{\circ}$

Steps of construction:

1. Draw a line segments AD of length 4 cm.

2. Using protector make an angle of measure 45° at point D.

3. Draw a line segment DC of length 5.5cm.

4. Using protector make an interior angle of measure 135° at point A.

5. Draw a line segment AB of length 5.5cm.

6. Connect the points C and B.