Constructing perpendiculars and triangles
Answers are for parents and teachers.
1
C is the midpoint of AB = 18 cm. CB (cm)?
9
2
Can a triangle with sides 7, 7, 15 cm be built? Why?
No, 7 + 7 = 14 < 15.
3
A side of 6 cm with adjacent angles 55° and 65°. The third angle (degrees)?
60
4
In your notebook construct a triangle with sides 5, 6, 7 cm with compass and straightedge (with an adult).
Steps: AB = 7, circle radius 6 at A and radius 5 at B, intersection C.
5
Write the justification of the perpendicular construction in one sentence.
The triangles are equal by SSS, the adjacent angles are equal, hence 90°.