Buzz
All exercises 1, 2, 3, 4 of the Angle Bisector lesson in the curriculum are guided by Mytour in the document Solving math problems for Grade 7 on pages 98 and 99, Book 1 of the Canh Diều series. Students can refer to improve their Math skills effectively.
Refer to many good study materials for Grade 7 Math
- Solving Math for Grade 7, Canh Diều series
- Solving Math for Grade 7 on page 45, Book 1 of the Connect Knowledge series - Exercise 8: Angles in special positions. Angle bisector of an angle
- Solving Math for Grade 7 on page 75, Book 1 of the Creative Horizon series - Exercise 2: Angle bisector
Solving math problems for Grade 7 on pages 98, 99, Book 1 of the Canh Diều series
Exercise 2. Angle Bisector
1. Solve Exercise 1 on Page 98 Mathematics Textbook Grade 7
Problem: To determine directions on a map or in real life, people often identify 8 directions (North, South, East, West, Northeast, Southeast, Southwest, Northwest) as shown in Figure 29. Where:
B: North; N: South;
E: East; W: West;
NE: Northeast (line Ox);
SE: Southeast (line Ov);
SW: Southwest (line Oy);
NW: Northwest (ray Ou).
a) Is ray OB the angle bisector of which angles?
b) Is ray OT the angle bisector of which angles?
Solution Guide:
An angle bisector of an angle is a ray that lies within the angle and divides it into two congruent angles.
Answer:
a) Ray OB is the angle bisector of angles xOu and TOĐ.
b) Ray OT is the angle bisector of angles yOu and BON.
Exercise 2: Solve Exercise 2 on Page 99 of Math Textbook Grade 7
Solution Guide:
+ An angle bisector of an angle is a ray that lies within the angle and divides it into two congruent angles.
+ Two vertical angles are congruent.
+ The measures of two adjacent supplementary angles add up to 180 degrees.
Answer:
Exercise 3: Solve Exercise 3 on Page 99 of Math Textbook Grade 7
a) Are rays Om, On corresponding to the angle bisectors of angles yOz and xOz, respectively?
b) Provide the measure of angle mOn.
Solution Guide:
A ray is the angle bisector of an angle if the ray lies within the angle and forms two congruent angles with the two sides of the angle.
Answer:
4. Solve Exercise 4 on Page 99 of Math Textbook Grade 7
a) Use a straightedge and compass.
Step 1: On ray Ox, take any point A (A is different from O); draw a part of a circle with center O, radius OA, intersecting ray Oy at point B.
Step 2: Draw a part of a circle with center A, radius AO.
Step 3: Draw a part of a circle with center B, radius BO, intersecting the part of the circle with center A, radius AO, at point C inside angle xOy.
Step 4: Draw ray OC, we obtain OC as the angle bisector of angle xOy.
b) Use a set square:
Step 1: Position the set square such that one edge of the set square coincides with edge Ox, use a pen to draw a straight line along the edge of the set square.
Step 2: Position the set square such that one edge of the set square coincides with edge Oy, then use a pen to draw a straight line along the edge of the set square.
Step 3: The two straight lines drawn in steps 1 and 2 intersect at point C inside angle xOy.
Step 4: Draw ray OC, we obtain OC as the angle bisector of angle xOy.
