Answer:
540
Step-by-step explanation:
Given that segment FE is parallel to segment DG, which of the following statements is NOT true?
2 answers:
Answer: The correct option is
(B) triangle HFE is congruent to triangle HGD.
Step-by-step explanation: Given that the segment FE is parallel to segment DG in the figure.
We are to select the statement that is NOT true.
From the figure, we note that FE is parallel to DG and FG is a transversal, so we have
m∠HFE = m∠HGD
Again, FE is parallel to DG and ED is a transversal, so we have
m∠HEF = m∠HDG
Also, m∠EHF = m∠DHG [vertically opposite angles]
Therefore, ΔHFE is similar to ΔHGD by AAA similarity postulate.
We know that the corresponding sides of two similar triangles are proportional, so we get
Thus, options (A), (C) and (D) are TRUE.
Only option (B) is NOT TRUE.
Option (B) is CORRECT.
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Hints on solving trigonometry problems:
If no diagram is given, draw one yourself.
Mark the right angles in the diagram.
Show the sizes of the other angles and the lengths of any lines that are known
Mark the angles or sides you have to calculate.
Consider whether you need to create right triangles by drawing extra lines. For example, divide an isosceles triangle into two congruent right triangles.
Decide whether you will need Pythagorean theorem, sine, cosine or tangent.
Check that your answer is reasonable. The hypotenuse is the longest side in a right triangle.
How to use the tangent ratio to find missing sides or angles?
Example:
