Buzz
Solution to exercise 1 on pages 90, 91 of Math 7 Textbook Volume 2
Problem:
Given point M and two non-parallel lines a, b (p.59).
a) Draw line MH perpendicular to line a (H lies on a), MK perpendicular to line b (K lies on b). Explain the drawing method.
b) Through M, draw line xx' parallel to line a and line yy' parallel to line b. Explain the drawing method.
c) State the names of pairs of equal and supplementary angles.
Answer:
Solution to exercise 2 on page 91 of Math 7 Textbook Volume 2
Problem:
Refer to figure 60.
a) Explain why a is parallel to b.
b) Find the measure of angle NQP.
Answer:
Solution to exercise 3 on page 91 of Math 7 Textbook Volume 2
Problem:
(Guide: Draw a line parallel to line a passing through point O).
Answer:
Solution to exercise 4 on page 91 of Math 7 Textbook Volume 2
Problem:
In the right angle xOy, point A lies on ray Ox, and point B lies on ray Oy. The perpendicular bisector of segment OA intersects Ox at D, and the perpendicular bisector of segment OB intersects Oy at E. Let C be the intersection point of these two perpendicular bisectors. Prove that:
a) CE = OD; b) CE is perpendicular to CD;
c) CA = CB; d) CA is parallel to DE;
e) The points A, B, C are collinear.
Answer:
Solution to exercise 5 on page 91 of Math 7 Textbook Volume 2
Problem:
Find the measure of angle x in each of figures 62, 63, 64:
Solution to exercise 6 on page 92 of Math 7 Textbook Volume 2
Problem:
Answer:
Solution to exercise 7 on page 92 of Math 7 Textbook Volume 2
Problem:
From a point M on the angle bisector of acute angle xOy, draw a line perpendicular to side Ox (at A), this line intersects side Oy at B.
a) Compare the lengths of segments OA and MA.
b) Compare the lengths of segments OB and OM.
Answer:
Solution to exercise 8 on page 92 of Math 7 Textbook Volume 2
Problem:
Answer:
Solution to exercise 9 on page 92 of Math 7 Textbook Volume 2
Problem:
Prove that: If triangle ABC has a median from A equal to half of side BC, then the triangle is right-angled at A.
Given a torn edge of a piece of paper (p.65). Use a ruler and compass to construct a line perpendicular to edge AB at point A.
Answer:
Solution to exercise 10 on page 92 of Math 7 Textbook Volume 2
Problem:
Answer:
Solution to exercise 11 on page 92 of Math 7 Textbook Volume 2
Problem:
Challenge: Given triangle ABC. Color the region inside the triangle consisting of points M such that:
MA < mb
(Guide: First, color to determine points M inside the triangle where MA < mb; the second time is ma < mc. The region inside the triangle is colored twice, the second time is the right part)
Answer:
