(1) Construct a parallelogram HARM in which HA= 7 cm, <H=80° and
AR 6 cm
[Hint. <A-180°-80° -100).
Answers
Given
- Parallelogram HARM
- HA → 7 cm
- AR → 6 cm
- ∠H = 80°
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To do
- Construct the parallelogram.
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Solution
First let's find the ∠A and ∠M
So we know that ∠H = ∠R since opposite angles are equal.
∴ ∠H = ∠R = 80°
Now let's find the measures of ∠A and ∠M. We know that sum of all angles of a parallelogram is equal to 360°.
∠A = ∠M = x°
∠A + ∠M = 2x
Let's find the measure of ∠A and ∠M respectively.
⇒ 2x + 80 + 80 = 360
⇒ 2x + 160 = 360
⇒ 2x + 160 - 160 = 360 - 160
⇒ 2x = 200
⇒ 2x ÷ 2 = 200 ÷ 2
⇒ x = 100°
∴ ∠A and ∠M are 100° respectively.
Now let's construct the parallelogram following the steps below.
1. Draw a line segment of 7 cm and mark the end points as H and A.
2. Take the protractor and measure 80° at H and draw a line segment 6 cm long from H to M.
3. At point A measure 100° with the protractor and draw a 6 cm long line from A to R
4. Connect the point M and point R
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Answer:
here is your answer_______
