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Chapter 5: Q3 (page 197)

In the following figure, a parallelogram EFGHis given and m∠EFG=70. IfHQ=14 then find HF.

Short Answer

Expert verified

The measure of HF=28.

Step by step solution

01

Step 1. Apply the concept of a parallelogram.

In a parallelogram, the diagonals are bisecting each other.

02

Step 2. Check the figure.

Consider the figure.

03

Step 3. Step description.

Here HQ=14.

Since the diagonal bisects each other therefore find the value of HF as follows:

HF=2HQHF=214HF=28

Therefore, the measure is HF=28.

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Most popular questions from this chapter

Prove Theorem 5-1.

Quadrilateral ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement.

AD¯≅BC¯

Quadrilateral is a parallelogram.

  1. Why is supplementary to ?
  2. Why is supplementary to ?
  3. Complete: consecutive angles of a parallelogram are ?, while opposite angles are?.

Must quad. EFGH be a parallelogram? Can it be a parallelogram? Explain.

Given: ABCDis a ▱,∠A≅∠E

Prove: localid="1637661691185" AB¯≅CE¯
See all solutions

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