Math / Geometry

QuestionPRACTICAL GEOMETRY
1. Draw a rough diagram a rectangle with adjacent side of length 5 cm and 4 cm .

Studdy Solution

STEP 1

1. The rectangle has adjacent sides of lengths 5 cm and 4 cm.
2. The rectangle is drawn on a flat surface.
3. We use a straightedge to draw straight lines and a ruler to measure lengths.

STEP 2

1. Draw one side of the rectangle of length 5 cm.
2. Draw an adjacent side of the rectangle of length 4 cm, perpendicular to the first side.
3. Complete the rectangle by drawing the remaining sides parallel and equal to the first two sides.
4. Verify that the opposite sides are equal and that all angles are right angles.

STEP 3

Using a ruler, draw a straight line segment of length 5 cm. Label the endpoints as $A$ and $B$ .
$\text{Draw } AB = 5 \text{ cm}$

STEP 4

Using a straightedge, draw a line segment of length 4 cm perpendicular to $AB$ from point $A$ . Label the endpoint as $C$ .
$\text{Draw } AC = 4 \text{ cm} \text{ perpendicular to } AB$

STEP 5

Using a ruler, draw a line segment of length 5 cm from point $C$ parallel to $AB$ . Label the endpoint as $D$ .
$\text{Draw } CD = 5 \text{ cm} \text{ parallel to } AB$

STEP 6

Using a ruler, draw a line segment of length 4 cm from point $B$ perpendicular to $AB$ and parallel to $AC$ . Label the endpoint as $D$ .
$\text{Draw } BD = 4 \text{ cm} \text{ parallel to } AC$

STEP 7

Verify that the opposite sides $AB$ and $CD$ are both 5 cm, and $AC$ and $BD$ are both 4 cm. Ensure all angles are right angles ( $90^\circ$ ).
$AB = CD = 5 \text{ cm}, \; AC = BD = 4 \text{ cm}, \; \angle A = \angle B = \angle C = \angle D = 90^\circ$
Solution: The rectangle with adjacent sides of lengths 5 cm and 4 cm has been drawn successfully, and all sides and angles have been verified.

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