What is đá bóng trực tiếp most detailed collection of geometry exercises for 8th-grade students? When do 8th-grade students in Vietnam achieve đá bóng trực tiếp "Excellent Student" title?
What isthe most detailed collection ofgeometry exercisesfor 8th-grade students in Vietnam?
You may refer to đá bóng trực tiếp followingmost detailed collection ofgeometry exercisesfor 8th-grade students in Vietnam:
Most detailed collection ofgeometry exercisesfor 8th-grade students
Exercise 1:Given quadrilateral ABCD where đá bóng trực tiếp angles A; B; C; D are proportional to 5; 8; 13 and 10.
a/ Calculate đá bóng trực tiếp measures of đá bóng trực tiếp angles of quadrilateral ABCD.
b/ Extend sides AB and DC to meet at E, and extend sides AD and BC to meet at F. đá bóng trực tiếp bisectors of angles AED and AFB meet at O. đá bóng trực tiếp bisector of angle AFB intersects sides CD and AB at M and N, respectively. Prove that O is đá bóng trực tiếp midpoint of segment MN.
Exercise 2:Given trapezoid ABCD (AB // CD).
a/ Prove that if đá bóng trực tiếp bisectors of angles A and D both pass through đá bóng trực tiếp midpoint F of side BC, then side AD equals đá bóng trực tiếp sum of đá bóng trực tiếp two bases.
b/ Prove that if AD = AB + CD, then đá bóng trực tiếp bisectors of angles A and D intersect at đá bóng trực tiếp midpoint of side BC.
Exercise 3:Given rectangle ABCD. Draw AH perpendicular to BD. đá bóng trực tiếp midpoint of DH is I. Connect AI. Draw a line perpendicular to AI at I intersecting side BC at K. Prove that K is đá bóng trực tiếp midpoint of side BC.
Exercise 4:Given parallelogram ABCD, with diagonals intersecting at O. Lines d1 and d2 both passing through O are perpendicular to each other. Line d1 intersects sides AB and CD at M and P. Line d2 intersects sides BC and AD at N and Q.
a/ Prove that quadrilateral MNPQ is a rhombus.
b/ If ABCD is a square, what is quadrilateral MNPQ? Prove it.
Exercise 5:Given quadrilateral ABCD where AD = BC and AB < CD. đá bóng trực tiếp midpoints of sides AB and CD are M and N. đá bóng trực tiếp midpoints of diagonals BD and AC are P and Q.
a/ Prove that quadrilateral MNPQ is a rhombus.
b/ đá bóng trực tiếp extended sides DA and CB intersect at G, draw bisector Gx of angle AGB. Prove that Gx // MN.
II. Areas of Rectangle - Square - Triangle:
Exercise 1:Given rectangle ABCD with AB = 5cm, BC = 4cm. On side AD, construct triangle ADE such that AE and DE intersect side BC at M and N respectively, where M is đá bóng trực tiếp midpoint of segment AE. Calculate đá bóng trực tiếp area of triangle ADE.
Exercise 2:
1/ Calculate đá bóng trực tiếp area of a rectangle given that a point M in đá bóng trực tiếp rectangle is equidistant to three sides and đá bóng trực tiếp intersection of two diagonals, and that distance is 4cm.
2/ Calculate đá bóng trực tiếp area of a right trapezoid with đá bóng trực tiếp shorter base equal to đá bóng trực tiếp height, each measuring 6cm, and đá bóng trực tiếp largest angle being 135 degrees.
Exercise 3:
1/ Prove that đá bóng trực tiếp area of đá bóng trực tiếp square constructed on đá bóng trực tiếp leg of an isosceles right triangle equals twice đá bóng trực tiếp area of đá bóng trực tiếp square constructed on đá bóng trực tiếp altitude from đá bóng trực tiếp hypotenuse.
2/ Prove that đá bóng trực tiếp area of đá bóng trực tiếp square having a diagonal as its side in đá bóng trực tiếp rectangle is greater than or equal to twice đá bóng trực tiếp area of đá bóng trực tiếp rectangle.
Exercise 4: Given two squares with side length a sharing one vertex, with one square's side lying on đá bóng trực tiếp diagonal of đá bóng trực tiếp other square. Calculate đá bóng trực tiếp common area of đá bóng trực tiếp two squares.
III. Triangle Area:
Exercise 1:
1/ Given rectangle ABCD with AB = 4cm, BC = 3cm. On DC, take a point M so that MC = 2cm, with point N on side AB. Calculate đá bóng trực tiếp area of triangle CMN.
2/ Given rectangle ABCD and point M on side AB. Find đá bóng trực tiếp ratio SMCD / SABCD.
Exercise 2:Given triangle ABC. đá bóng trực tiếp medians BE and CF intersect at G. Compare đá bóng trực tiếp areas of triangle GEC and triangle ABC.
Exercise 3:Given trapezoid ABCD with BC // AD. đá bóng trực tiếp diagonals intersect at O. Prove that SOAB = SOCD and hence derive OA.OB = OC.OD.
Exercise 4:
a/ Prove that đá bóng trực tiếp medians of a triangle divide đá bóng trực tiếp triangle into 6 parts with equal areas.
b/ Let G be đá bóng trực tiếp centroid of triangle ABC then SGAB = SGAC = SGBC.
Exercise 5:Given right triangle ABC with đá bóng trực tiếp right angle at A. On sides AB, AC, BC, and outside đá bóng trực tiếp triangle, construct squares ABED, ACPQ, and BCMN. đá bóng trực tiếp altitude AH from đá bóng trực tiếp right triangle ABC intersects MN at F. Prove:
a/ SBHFN = SABED, hence AB^2 = BC.BH
b/ SHCMF = SACPQ, hence AC^2 = BC.HC
IV. Area of Trapezoid - Parallelogram - Rhombus
Exercise 1:
1/ Given rectangle ABCD with AB = 48cm, BC = 24cm, point E is đá bóng trực tiếp midpoint of DC. Find point F on AB such that đá bóng trực tiếp area of quadrilateral FBCE equals 1/3 đá bóng trực tiếp area of rectangle ABCD.
2/ đá bóng trực tiếp diagonals of a rhombus are 18 cm and 24 cm. Calculate đá bóng trực tiếp perimeter of đá bóng trực tiếp rhombus and đá bóng trực tiếp distance between đá bóng trực tiếp parallel sides.
Exercise 2:đá bóng trực tiếp area of a rhombus is 540 dm². One of its diagonals is 4.5 dm. Calculate đá bóng trực tiếp distance from đá bóng trực tiếp intersection of đá bóng trực tiếp diagonals to đá bóng trực tiếp sides.
Exercise 3:
a/ Calculate đá bóng trực tiếp area of an isosceles trapezoid with height h and diagonals perpendicular to each other.
b/ đá bóng trực tiếp diagonals of đá bóng trực tiếp isosceles trapezoid perpendicular to each other, and đá bóng trực tiếp sum of đá bóng trực tiếp two bases is 2a. Calculate đá bóng trực tiếp area of đá bóng trực tiếp trapezoid.
Exercise 4:Given parallelogram ABCD, on đá bóng trực tiếp extension of ray BA take point E, and on đá bóng trực tiếp extension of ray DA take point K. Line ED intersects KB at O. Prove that đá bóng trực tiếp areas of quadrilaterals ABOD and CEOK are equal.
V. Compilation 2:
Exercise 1:Given rectangle ABCD, with side AB = 4cm and BC = 3cm. Draw đá bóng trực tiếp internal angle bisectors, intersecting at M, N, P, Q.
a. Prove that triangle MNPQ is a square.
b. Calculate đá bóng trực tiếp area of square MNPQ.
Exercise 2:Given an equilateral triangle ABC.
a. Prove that đá bóng trực tiếp altitudes of this triangle are equal.
b. Prove that đá bóng trực tiếp sum of distances from any point D inside đá bóng trực tiếp equilateral triangle to đá bóng trực tiếp sides of đá bóng trực tiếp triangle does not depend on đá bóng trực tiếp position of D.
Exercise 3:Given isosceles triangle ABC with đá bóng trực tiếp vertex at A, and altitude AH, where O is đá bóng trực tiếp midpoint of AH. Ray BO intersects AC at D, ray CO intersects AB at E. Calculate đá bóng trực tiếp ratio of đá bóng trực tiếp area of quadrilateral ADOE to triangle ABC.
Exercise 4:Given parallelogram ABCD. From B, draw a line intersecting CD at M (M is between C and D). From D, draw a line intersecting CB at point N (N is between B and C). BM intersects DN at point I. It is known that MB = ND.
a. Prove đá bóng trực tiếp area of triangle ABM equals đá bóng trực tiếp area of triangle AND.
b. Prove that IA is đá bóng trực tiếp bisector of angle BID.
Note: đá bóng trực tiếp informationis for reference purposes only./.
What is đá bóng trực tiếp most detailed collection of geometry exercises for 8th-grade students in Vietnam? When do 8th-grade students in Vietnam achieve đá bóng trực tiếp "Excellent Student" title? (Image from Internet)
When do 8th-grade students in Vietnam achieve đá bóng trực tiếp "Excellent Student" title?
Under point a, clause 1, Article 15 ofCircular 22/2021/TT-BGDDT:
Commendations
1.Principals shall award certificates of achievement for students
a) End-of-year commendation
-Award đá bóng trực tiếp title “Học sinh Xuất sắc” (Excellent student) for students who have obtained Excellent training and learning results for đá bóng trực tiếp entire school year and achieved DTBmcnof at least 9.0 in subjects that are assessed via both feedback and scores.
-Award đá bóng trực tiếp title “Học sinh Giỏi” (Good student) for students who have obtained Excellent training and learning results for đá bóng trực tiếp entire school year.
b) Commend students for having unexpected merits in training and learning in đá bóng trực tiếp school year.
2.Students with special achievements shall be considered and requested for commendation by schools.
Under point a, clause 2, Article 9 ofCircular 22/2021/TT-BGDDT:
Article 9. Assessment of learning results of students
...
2.Learning results in each semester and school year
For subjects assessed via both feedback and scores, DTBmhkis used to assess learning results of a student in each semester while DTBmcnis used to assess learning results of a student in đá bóng trực tiếp entire school year. Learning results of a student in each semester and in đá bóng trực tiếp entire school year shall be assessed by one of 4 categories: Excellent, Good, Qualified, Unqualified.
a) Excellent:
-All subjects assessed with feedback are placed in Qualified category.
-All subjects assessed by both feedback and scores have minimum scores of 6.5 for DTBmhkand DTBmcnwith 6 subjects among which have minimum scores of 8.0 for DTBmhkand DTBmcn.
Thus. to achieve đá bóng trực tiếp"Excellent Student" title,8th-grade students must have minimum scores of 6.5 forDTBmcn in all subjects with at least6 subjects among which have minimum scores of 9.0 forDTBmcn.
Additionally, all subjects assessed with feedback are placed in đá bóng trực tiếp Qualified category, and đá bóng trực tiếp training results for đá bóng trực tiếp entire school year are assessed as Excellent.
What are đá bóng trực tiếp main goals of educating 8th-grade students in Vietnam?
Under Article 2 of đá bóng trực tiếpEducation Law 2019, đá bóng trực tiếp maingoals of educating 8th-grade students in Vietnam are as follows:
đá bóng trực tiếp goals of education are to educate đá bóng trực tiếp Vietnamese into comprehensively developed persons who possess ethics, knowledge, education, physical health, aesthetic sense and profession; to shape and cultivate one's dignity, civic qualifications and competence; to nurture one’s patriotism, national spirit, loyalty to đá bóng trực tiếp ideology of national independence and socialism; to develop potentials, creativity of each individual; to improve đá bóng trực tiếp people’s knowledge and manpower, to foster talents, satisfying đá bóng trực tiếp demands of đá bóng trực tiếp construction and defense of đá bóng trực tiếp Fatherland and international integration.
