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These topics covered on mathematics grade 8 on third quarter
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Group Names ________________________________________________________ In this activity you will create triangles based on given conditions and display them on a poster. You will then compare the posters from the different groups and draw conclusions about which triangles are congruent, which triangle are not congruent and why. Necessary Materials: poster^ board^ (white) construction paper (red, orange, yellow, green, blue, purple, and pink) sciccors markers measuring tools Your Job: As a group, create and cut out triangles for each of the following conditions. Display them on the poster. Each triangle should be labeled with the number (1-7) and the given measurements.
1. Create as many triangles that you can that have sides of 11 cm, 14 cm, and 18 cm. Make these out of red paper. 2. Create as many triangles that you can with angle measures of 30, 45, and 105 degrees. Make these out of orange paper. 3. Create as many triangles that you can that have sides of 14 cm and 11 cm with a 30 degree angle between the two sides. Make these out of yellow paper. 4. Create as many triangles that you can that have a side of 11 cm. At one end is a 30 degree angle and at the other end is a 105 degree angle. Make these out of green paper. 5. Create as many triangles that you can that have angle measures of 45 and 105 degrees. Have the side opposite the 45 ° angle measure 14 cm long. Make this with blue paper. 6. Create as many triangles that you can that have a side of 18 cm and a side of 14 cm. Have the angle opposite the 14 cm side be a 30 degree angle. Make this out of purple paper
7. Create as many triangles that you can that have a side of 18cm and a side of 14cm. Have the angle opposite the 18cm side be a 90 degree angle. Make this out of pink paper.
Grade 1: Group Grade Everyone in the group will receive the same group grade. The maximum score is 12 points. Accuracy of Triangles Yes, Mrs. Hoad will be going through with protractors and rulers to make sure all measurements are accurate! Requirements Your triangles need to be numbered. The measurements used to make the triangle should be clearly labeled. Creativity of poster This means the organization, neatness, and creativity of your poster. Be careful! This is a subjective assessment. You will be judged in comparison to the other posters created by your classmates. Cooperation This is the way your group cooperates together. This will be based on observations made by your teacher while you work. Are you helping each other? Are you talking to each other? Are you double-checking each other’s measurements to make sure they are accurate? Is everyone participating? Are you working as a team where everyone knows what the other people in the group are doing? Grade 2: Reflection Piece Everyone will receive an individual grade. The maximum score is 30 points.
Trusses in our houses form congruent triangles similar to the picture below. Given 𝐀 ^ 𝐀 ^ ≅ 𝐀 ^ 𝐀 ^ , 𝐀 ^ 𝐀 ^ ≅ 𝐀 ^ 𝐀 ^ , Prove: ∆HOE ≅ ∆MOE Proof: Statements Reasons