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### IDENTIFYING AND DESCRIBING TRIANGLES ACCORDING TO SIDES AND ANGLE

• 2. CIMI 2 1. Do all quadrilaterals have 3 sides and angles? 2. Do all triangles have 4 sides and 4 angles? 3. Is any 3-sided polygon a triangle? 4. Is any 4-sided polygon is a quadrilateral? 5. Can a quadrilateral be divided into two triangles YES NO YES YES NO NO NO NO YES YES YES NO
• 3. CIMI 3 TRAVEL AND OBSERVE The Great Pyramid of Giza is the oldest and largest of the pyramids in the Giza pyramid complex bordering present-day Giza in Greater Cairo, Egypt. It is the oldest of the Seven Wonders of the Ancient World, and the only one to remain largely intact.
• 4. CIMI 4 TRAVEL AND OBSERVE Designed to withstand the harsh environmental conditions, the Ivatan houses in Basco, Batanes is a must-visit cultural attraction in the Philippines. ... The Ivatan houses are made of metre-thick limestone and coral walls as well as cogon grass roofs, and they are sturdy enough to withstand strong winds.
• 5. CIMI 5 TRAVEL AND OBSERVE The Bahay kubo, or nipa hut, is a type of stilt house indigenous to the cultures of the Philippines.
• 6. CIMI 6 TRAVEL AND OBSERVE Pasig bridge Conception Tarlac Magalang Road
• 7. CIMI 7 TRAVEL AND OBSERVE Cebu–Cordova Link Expressway The Cebu–Cordova Link Expressway (CCLEX), also known as the Cebu–Cordova Bridge is a toll bridge expressway under construction in Metro Cebu, Philippines which will link Cebu City and Cordova.
• 8. CIMI 8 TRAVEL AND OBSERVE Bamban Bridge is a highway bridge in Central Luzon, Philippines which is part of the MacArthur Highway. The bridge was constructed from 1996 to 1998 as part of the rehabilitation efforts on National Highway 3 following the 1991 eruption of Mount Pinatubo.
• 9. CIMI 9 TRAVEL AND OBSERVE San Juanico Bridge – Longest Bridge in the Philippines San Juanico Bridge connects the islands of Leyte and Samar by linking the city of Tacloban to the town of Santa Rita, Samar.
• 10. CIMI 10 TRAVEL AND OBSERVE What do they have in common? What is the most common shape used in bridge building?
• 11. CIMI 11 TRAVEL AND OBSERVE Triangles are effective tools for architecture and are used in the design of buildings and other structures as they provide strength and stability. The two most common triangular forms used in architecture are equilateral and isosceles. Why are triangles frequently used in construction?
• 12. CIMI 12 TRAVEL AND OBSERVE Why is the triangle the most important shape? The triangle is the strongest shape, capable of holding its shape, having a strong base, and providing immense support. The triangle is one of the most favorite shape in architecture.
• 13. CIMI 13 “ How to classify the different type of triangles”
• 14. CIMI Objective Identify and describe the triangle according to sides and angles.
• 15. CIMI
• 16. CIMI 16 Triangles can be classified according to their angles ( measurements of its angle) An angle is a figured formed by 2 rays ( arms) that meat at the vertex. Angles are measured in degrees. Triangle are compose of three line segments. Classifying a triangle is as simple as comparing the sides. Triangles can be classified according to their sides (length of its sides)
• 17. CIMI 17 Types of triangles according to angles Right Triangle JKL is a Right Triangle. It has one right angle (90°) (90°)
• 18. CIMI 18 Types of triangles according to angles Acute Triangle ACB is an Acute Triangle. It has 3 acute angles, all angles are less than 90° < CAB 75° < ABC 43° < BCA 62°
• 19. CIMI 19 Types of triangles according to angles Obtuse Triangle RQP is an Obtuse Triangle. It has 1 obtuse angle, measuring more than 90° but less than 180° (35°) (25°) (120°)
• 20. CIMI 20 Types of triangles according to sides Equilateral Triangle ABC is an Equilateral Triangle. It has 3 equal sides A B C AB 2cm AC 2cm BC 2cm An equilateral triangle has all three sides equal in length. Its three angles are also equal and they are each 60°. An equilateral triangle is also an equiangular triangle since all its angles are equal. The Philippine national flag has a rectangular white equilateral triangle, symbolizing liberty, equality and fraternity
• 21. CIMI 21 Types of triangles according to sides Isosceles Triangle JON is an Isosceles Triangle. It has 2 equal sides. O J N JO 6cm ON 6cm JN 2cm
• 22. CIMI 22 Types of triangles according to sides Scalene Triangle ABC is a Scalene Triangle. It has no equal sides. BA 12cm AC 6cm BC 14cm
• 24. CIMI 24 Do all triangles have equal sides? Do they have equal angles?
• 25. CIMI 25 What are the different triangles according to sides? What are the different triangles according to angles?
• 27. CIMI 27 What makes the triangle the most important shape?  The triangle is the strongest shape.  Triangles are effective tools for architecture and are used in the design of buildings and other structures
• 31. CIMI
• 32. CIMI MECHANICS There shall be three rounds namely: a) the easy [ 5 Questions] (5 questions worth 1 pt. each) = 5 b) the average [5 questions] (5 questions worth 2pts. each) = 10 c) the difficult [3 Questions] (3 questions worth 5 pts. each) = 15 ---------- 30 pts! STRICTLY NO SHARING OF ANSWER Total: 13 Questions
• 33. CIMI
• 34. CIMI EASY- 15 seconds Ans: STRICTLY NO TALKING A right triangle has one right angle TRUE FALSE TRUE
• 35. CIMI EASY- 15 seconds Ans: STRICTLY NO TALKING Scalene triangle has all equal sides FALSE FALSE TRUE
• 36. CIMI EASY- 15 seconds Ans: STRICTLY NO TALKING An Equilateral triangle has no equal sides FALSE TRUE FALSE
• 37. CIMI EASY- 15 seconds Ans: STRICTLY NO TALKING An Isosceles triangle has two equal sides TRUE FALSE TRUE
• 38. CIMI EASY- 15 seconds Ans: STRICTLY NO TALKING An obtuse triangle has obtuse angle, which measure more than 90° but less than 180°. TRUE FALSE TRUE
• 39. CIMI
• 40. CIMI “ DO YOUR BEST” B AVERAGE ROUND 20 seconds If you add up the degrees of each angle on a triangle, what is the sum? A. 90° B. 180° C. 360° D. 45°
• 41. CIMI “ DO YOUR BEST” C AVERAGE ROUND 20 seconds What are the three types of triangles according to sides? A. Equilatiral, isoseles. scalene B. Equalateral, isoscoles, scalene C. Equilateral, isosceles, scalene D. Equilateral, Obtuse, Isosceles
• 42. CIMI “ DO YOUR BEST” C AVERAGE ROUND 20 seconds What triangle is it called when two sides are the same and only one is different? A. Scalene B. Vertex C. Isosceles D. Equilateral
• 43. CIMI “ DO YOUR BEST” D AVERAGE ROUND 20 seconds What triangle is it called when all three sides are the same? A. Scalene B. Acute C. Isosceles D. Equilateral
• 44. CIMI “ DO YOUR BEST” B AVERAGE ROUND 20 seconds What is the degrees of the right angle? A. A right angle is 80°. B. A right angle is 90° C. A right angle is 100° D. A right angle is 110°
• 45. CIMI
• 46. CIMI DIFFICULT 25 seconds Ans: STRICTLY NO TALKING A right triangle has one other angle that is 35°. What is the size of the third angle? 55°
• 47. CIMI Solution: Step 1: A right triangle has one angle = 90° Sum of known angles is 90° + 35° = 125°. Step 2: The sum of all the angles in any triangle is 180°. Subtract sum of known angles from 180°. 180° − 125° = 55° Answer: The size of the third angle is 55°
• 48. CIMI DIFFICULT 25 seconds Ans: STRICTLY NO TALKING A triangle has angles 46°, 63° and 71°. What type of triangle is this? Acute triangle
• 49. CIMI Solution: Answer: Since all its angles are less than 90°, it is an acute triangle
• 50. CIMI DIFFICULT 25 seconds Ans: STRICTLY NO TALKING An equilateral triangle has one side that measures 5 in. What is the size of the angle opposite that side? 60°
• 51. CIMI Solution: Step 1: Since it is an equilateral triangle all its angles would be 60°. The size of the angle does not depend on the length of the side. Answer: The size of the angle is 60°.:
• 52. CIMI 52 Materials needed:  any available and safe materials in your home (coffee, extracted leaves, or organic materials, any kind of coloring materials ( crayon, water color, pastel color, acrylic water based)  Oslo paper (optional)construction paper/scrap papers will be fine  Glue, scissors, ruler  ( as much as possible use recyclable materials at home) Assignment: Just Tri Me What to do:  Create an art related with different types of triangles  Size-: 12inches x 8.5 inches ( minimum) 20inches x 11 inches ( maximum)
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