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Construct a quadrilateral ABCD, where
AB = 5 cm, BC = 4.2 cm, CD = 6.5 cm, ZA
= 75° and B = 95°. What was your first
step? What else could be the first step for
constructing the same quadrilateral?
​

Sagot :

Sqdancefanidn

Answer:

  • draw segment AB
  • draw segment BC

Step-by-step explanation:

You want to know the first step in constructing quadrilateral ABCD, given AB=5 cm, BC=4.2 cm, CD=6.5 cm, A=75°, B=95°.

First step

Side AB is used as a reference for the measures of angles A and B, so segment AB can be drawn first. Then the line containing AD can be drawn, and side BC can be drawn.

Alternate first step

Segment BC is another one that can be drawn first, as we know the measure of angle B. After BC is drawn AB can be drawn, then the line containing AD.

Point D

In either case, point C is used to draw an arc of radius 6.5 cm that intercepts the line from A at point D. There are two possible intercepts, hence two possible quadrilaterals ABCD that meet the dimension requirements.

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