Proof and perpendicular lines
Answers are for parents and teachers.
1
Separate the hypothesis and the conclusion of “If two angles are adjacent to the same angle, they are equal”.
Hypothesis: two angles are adjacent to the same angle. Conclusion: these two angles are equal.
2
a ⊥ b, one angle is 90°. Sum of the four angles?
360
3
Five segments are drawn from point A to line a: 8, 6, 11, 9 and 7 cm; one of them is the perpendicular. What is the distance from A to a (cm)?
6
4
In your notebook mark a line and a point A off it. With a set square draw the perpendicular from A and measure the distance.
The measured length of the perpendicular is the distance.
5
Write the difference between an axiom and a theorem.
An axiom is accepted without proof; a theorem is proved.