In addition to answer hints, solving 8th-grade math problems on pages 98, 99, 100 of the Kite Wings book, Volume 1 - Exercise 2: Quadrilaterals also provides guidance on recognizing quadrilaterals; steps to calculate the perimeter of the section formed by the quadrilateral, inviting students to refer.
Solving 8th-grade math problems Kite Wings book, Volume 1, pages 98, 99, 100
Exercise 2: Quadrilaterals
Solving 8th-grade math problems Kite Wings book, Volume 1, page 100
1. Solving exercise 1 - Kite Wings 8th-grade Volume 1, page 100
Problem:
Among the quadrilaterals in figure 19a, 19b, 19c, 19d, 19e, 19g, which one is not a convex quadrilateral? Why?
Solution Method:
Definition of Quadrilateral
Answer:
The quadrilateral in figure 19c is not a convex quadrilateral because it lies on the opposite side of the line containing one side of the quadrilateral.
2. Solving exercise 2 - Kite Wings 8th-grade Volume 1, page 100
Problem:
a) If quadrilateral ABCD has angle A + angle C = 180 degrees, then what is the sum of angle B + angle D?
b) Is it possible for a quadrilateral to have 2 obtuse angles and 2 right angles?
c) Is it possible for a quadrilateral to have all 4 angles acute?
Solution Method:
Applying the properties of quadrilaterals
Answer:
a) Angle B + angle D = 360 - 180 = 180 degrees
b) There is no quadrilateral that has 2 obtuse angles and 2 right angles.
c) There is no quadrilateral with all 4 angles acute.
3. Solving exercise 3 - Kite Wings 8th-grade Volume 1, page 100
Problem:
Figure 20 depicts a cross-sectional view of a floating hull on the water. Calculate the perimeter of the cross-sectional view of the floating hull (round the result to the nearest tenth of a meter).
Solution Method:
Divide the shape into triangles
Answer:
Assuming the cross-sectional view of the floating part on the water surface of the ship is as depicted below:
Above is the guidance for solving 8th-grade math problems on pages 98, 99, 100 of the Kite Wings book, Volume 1, Quadrilaterals. To prepare for the next lesson, students can preview the solution to 8th-grade math problems on pages 101, 102, 103, 104 of the Kite Wings book, Volume 1 - Exercise 3: Trapezoid. Additionally, the solution to 8th-grade math problems on pages 94, 95, 96, 97 of the Kite Wings book, Volume 1 - Exercise 1: Pythagorean Theorem will help reinforce the learned knowledge. Best wishes for studying math.
Further references for other 8th-grade math solutions:
- 8th-grade math solutions in the Kite Wings book
- Solving 8th-grade math problems on pages 49, 50, 51 of the KNTT book, Volume 1 - Exercise 10: Quadrilaterals
- Solving 8th-grade math problems on pages 65, 66, 67 of the CTST book, Volume 1 - Exercise 2: Quadrilaterals
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