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MATHEMATICS TEACHER 9 GRADE

Mr. Dedi

SAS PREPARATION

Learning Instructions

(Langkah-langkah umum cara belajar secara mandiri atau bersama disekolah yang harus dipahami oleh siswa)

• Awali kegiatan belajar dengan berdoa.

• Silakan mempelajari Learning Materials terlebih dahulu untuk mendapat pemahaman yang baik terkait topik/ materi yang akan dipelajari.

• Setelah mendapat pengalaman belajar dan memahami topik/materi dengan baik silakan lanjutkan ketahap Exercises. Apabila belum siap silakan mempelajari kembali Learning Materials atau bertanya kepada guru melalui WA / memanfaatkan link Ask To Chat GPT yang tersedia. 

Note : Jangan belajar sekedarnya, ikutilah  petujuk belajar di atas untuk mendapat hasil yang lebih maksimal.

GRADE 9 MATH MATERIAL

COHESIVENESS AND CONGRUENCE

A. DEFINITION OF REVIVAL

Two wakes are said  to be the same when having:

1. Matching corners are equally large

2. Comparison of the corresponding sides is the same (comparable)

Developmental Features:

• Same shape, size can be different

• Matching angle is equally large

• The corresponding sides have a fixed ratio

Comparison Formula:

If two wake up:

Example:

If triangles A and B are awesome, and:

• side A = 4 cm

• side B = 8 cm

Scale = 1 : 2

B. CONGRUENT DEFINITION

Two wake-ups are said to be congruent when:

1. Same shape

2. Same size

3. All matching sides and angles are the same

Characteristics of Congruen:

• All sides are the same length

• All corners are equally large

• Can be used to cover each other

C. DIFFERENCES BETWEEN COHERENCE AND CONGRUENCE

Aspects

Revival

Congruence

Shape

Same

Same

Size

Can be different

Must be the same

Angle

Equally big

Equally big

Sides

Equal comparison

Equal length

D. REGENERATION IN THE TRIANGLE

Triangle Condition:

1. AA (Corners): Two equal angles

2. SSS (Side-By-Side): Side-by-side comparison

3. SAS (Side-Corner-Side): Two sides and the angles between are proportional

E. USES OF REVIVAL

• Calculating the height of objects (e.g. trees, buildings)

• Scale a map

• Building design and architecture

PRACTICE QUESTIONS

A. MULTIPLE CHOICE

1. Two wakes up are said to be the same if... A. The sides are the same lengthB. The angle is differentC. The corresponding angle is equal and the sides are comparableD. The area is the same

Answer: C

2. Two congruent triangles have... A. Different anglesB. Different sideC. Same shape but different sizeD. Sides and corners are the same

Answer: D

3. The ratio of the two sides of the building is 2 : 3. If the small side is 6 cm, then the big side is... A. 8 cmB. 9 cmC. 10 cmD. 12 cm

Answer: B

4. If two triangles have two equal angles, then the two triangles... A. ControversyB. Wake UpC. UnrelatedD. Different shapes

Answer: B

5. Congruent build means... A. Same formB. Same size as C. Same shape and sizeD. Nothing is the same

Answer: C

B. DESCRIPTION QUESTIONS

1. It is known that two triangles are parallel with a side ratio of 3 : 5. If the sides of a triangle are small 9 cm, what are the sides of a large triangle?
   Answer:

2. A tree shadow is 4 m long, while a pole shadow is 2 m. If the pole is 3 m high, how tall is the tree?
   Answer:

3. Explain the main differences between coexistence and congruence!
   Answer:
     A congruent has the same shape but can be different in size, whereas congruent has the same shape and size.

4. Two triangles have sides of equal length. What is the relationship between the two triangles? Explain!
   Answer:
   The two triangles are congruent because all sides are the same length.

5. Give an example of the application of awakening in daily life!
   Answer:
     Measure the height of a tree using shadows, make a map with scale.

C. STORY QUESTION

1. A building has a shadow 10 m long. At the same time, a 2 m tall stick has a shadow of 4 m. How tall is the building?

Answer:

CONCLUSION

• Construction: same shape, size can be different

• Congruence: shape and size are the same

• Used in various fields such as architecture, engineering, and measurement

Video

Exercises

(Exercises merupakan latihan soal yang dikerjakan setelah belajar mandiri) 

📘 PART A – BASIC LEVEL (No. 1–8)

Statistics

1. The mean of 4, 6, and 10 is ______.

2. The median of 3, 7, 9, 11, 15 is ______.

3. The mode of 2, 4, 4, 5, 6 is ______.

Probability

4. A coin is tossed once. The probability of getting heads is ______.

5. A die has 6 sides. The probability of getting number 3 is ______.

Unit Conversion (Time)

6. 2 hours = ______ minutes.

7. 180 seconds = ______ minutes.

Unit Conversion (Temperature)

8. 0°C = ______ °F.

📗 PART B – INTERMEDIATE LEVEL (No. 9–17)

Statistics

9. The mean of 5 numbers is 20. The total sum is ______.

10. The range of 12, 18, 25, 30 is ______.

11. If the median is 10 in the data 6, 8, __, 12, 14, the missing number is ______.

Probability

12. A bag contains 3 red and 2 blue balls. Probability of picking a red ball = ______.

13. Probability of getting an even number when rolling a die = ______.

14. Probability of NOT getting a 6 on a die = ______.

Unit Conversion (Time)

15. 1.5 hours = ______ minutes.

16. 2 days = ______ hours.

Unit Conversion (Temperature)

17. 25°C = ______ °F.
    
    📙 PART C – ADVANCED LEVEL (No. 18–25)

Statistics

18. The mean of 6 numbers is 15. If five numbers are 10, 12, 14, 16, 18, the sixth number is ______.

19. The mode of the data 3, 5, 5, 7, 7, 7, 9 is ______.

20. The median of 8, 10, 12, 14 is ______.

Probability

21. A box contains 4 green, 3 yellow, and 3 blue balls. Probability of picking a yellow ball = ______.

22. Two coins are tossed. Probability of getting two heads = ______.

23. A card is chosen from a deck of 52 cards. Probability of getting a heart = __one in four____.

Unit Conversion (Time)

24. 3 hours and 30 minutes = ______ minutes.

Unit Conversion (Temperature)

25. 68°F = ______ °C.