Question: User: Question 1
Explain this question step by step. Given angle ABC is 75 degrees and angle EDC is 75 degrees. Show that triangle ABC and triangle EDC are similar. Explain that the corresponding angles are equal. Therefore, the triangles are similar by AA similarity criterion. Final answer: Triangle ABC is similar to triangle EDC.
Question 2
Explain this question step by step. The sides of triangle PQR are 6, 8 and 10. The sides of triangle LMN are 3, 4 and 5. Compare the corresponding sides: 6 divided by 3 is 2, 8 divided by 4 is 2, and 10 divided by 5 is 2. Since all corresponding sides are proportional, the triangles are similar by SSS similarity criterion. Final answer: Triangle PQR is similar to triangle LMN.
Question 3
Explain this question step by step. A small pole is 4 metres high and its shadow is 6 metres long. A larger pole is 8 metres high and its shadow is x metres long. Since the triangles are similar, write 4 divided by 6 equals 8 divided by x. Cross multiply to get 4x equals 48. Therefore x equals 12 metres. Final answer: The shadow of the larger pole is 12 metres.
Question 4
Explain this question step by step. Given AP is 7, BQ is 8 and BC is 12. Triangle CPA and triangle CQB are similar by AA similarity criterion. Use the proportion AP divided by BQ equals AC divided by CB. Substitute the values: 7 divided by 8 equals AC divided by 12. Cross multiply to get 8AC equals 84. Therefore AC equals 10.5. Final answer: AC is 10.5.
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Question 1 Explain this question step by step. Given angle ABC is 75 degrees and angle EDC is 75 deg
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