Solutions and guidance for exercises 1 through 6 of Isosceles Triangle lesson as per the curriculum in the Workbook Volume 2, Horizon of Creativity. Students are encouraged to refer to strengthen knowledge and understand the correct solving approach.
Refer to other good Math learning resources:
- Solving 7th Grade Math, Horizon of Creativity
- Solving 7th Grade Math, page 84, Workbook Volume 1, Knowledge Connection - Lesson 16: Isosceles Triangle. Perpendicular bisector of a line segment
- Solving 7th Grade Math, page 96, Workbook Volume 2, Kite - Lesson 7: Isosceles Triangle
Solving 7th Grade Math, pages 62-63, Workbook Volume 2, Horizon of Creativity
Isosceles Triangle
1. Solve Exercise 1 Page 62 Math Workbook Grade 7
Problem: Find isosceles triangles and equilateral triangles in the following figure (Figure 13). Explain.
Solution:
An isosceles triangle has two equal sides.
An equilateral triangle has three equal sides.
If a triangle has two equal angles, then it is an isosceles triangle.
Answer:
a) Triangle ABM is an equilateral triangle because AB = BM = MA.
b) Triangle EDG is an equilateral triangle because ED = DG = DE.
Triangle EHF is an isosceles triangle because EH = EF.
Triangle EDH is an isosceles triangle because DE = DH.
Triangle GEF is an isosceles triangle because GE = GF.
2. Solve Exercise 2 Page 62 Math Workbook Grade 7
Solution:
+ If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.
+ To prove triangle DIF is isosceles, we prove ID = IF.
Answer:
3. Solve Exercise 3 Page 63 Math Workbook Grade 7
Solution:
+ An isosceles triangle has two base angles equal. The sum of three angles in a triangle is 180 degrees.
+ If a line intersects two lines creating a pair of alternate interior angles or a pair of corresponding angles equal, then the two lines are parallel.
Answer:
4. Solve Exercise 4 Page 63 Math Workbook Grade 7
Solution:
+ An isosceles triangle has two equal sides and two equal base angles.
+ If one side and two adjacent angles of this triangle are equal to one side and two adjacent angles of another triangle, then the two triangles are congruent.
Answer:
Exercise 5 Solution Page 63 Math Workbook Grade 7
Solution:
An isosceles triangle has two equal sides and two equal base angles.
Answer:
Solution to Exercise 6 Page 63 Math Workbook Grade 7
Solution:
An isosceles triangle has two equal sides and two equal base angles.
+ If a line intersects two lines creating a pair of alternate interior angles or a pair of corresponding angles equal, then the two lines are parallel.
Answer:
Here is the solution guide for solving 7th-grade math problems on pages 62 and 63 of Workbook Volume 2. Students, please refer to the solutions for exercises on pages 66 and 70 of Workbook Volume 2 to prepare for the upcoming lessons.
- Solve 7th Grade Math, page 66 Workbook Volume 2 Horizon of Creativity - Exercise 4: Perpendicular lines and diagonals
- Solve 7th Grade Math, page 70 Workbook Volume 2 Horizon of Creativity - Exercise 5: Midsegments of a line segment
Buzz
