Slide 1
... Theorem, (5x + 4y)° = 55°. By the Corresponding Angles Postulate, (5x + 5y)° = 60°. 5x + 5y = 60 –(5x + 4y = 55) ...
... Theorem, (5x + 4y)° = 55°. By the Corresponding Angles Postulate, (5x + 5y)° = 60°. 5x + 5y = 60 –(5x + 4y = 55) ...
2015 Junior Solutions
... This rules out the options A, B, D and E. In the context of the JMC this is enough for us to be able to conclude that option C is the correct answer. However, for a full solution, we would need to check directly that 45 × 56 is divisible by all the integers from 1 to 10. This is straightforward. Eve ...
... This rules out the options A, B, D and E. In the context of the JMC this is enough for us to be able to conclude that option C is the correct answer. However, for a full solution, we would need to check directly that 45 × 56 is divisible by all the integers from 1 to 10. This is straightforward. Eve ...
Lesson 20: Cyclic Quadrilaterals
... circle on three vertices of a quadrilateral (a triangle) and use angle relationships to prove that the fourth vertex must also lie on the circle (G-C.A.3). They then use these relationships and their knowledge of similar triangles and trigonometry to prove Ptolemy’s theorem, which states that the pr ...
... circle on three vertices of a quadrilateral (a triangle) and use angle relationships to prove that the fourth vertex must also lie on the circle (G-C.A.3). They then use these relationships and their knowledge of similar triangles and trigonometry to prove Ptolemy’s theorem, which states that the pr ...
Rigorous Curriculum Design
... 8.G.1 Students use compasses, protractors and rulers or technology to explore figures created from translations, reflections and rotations. Characteristics of figures, such as lengths of line segments, angle measures and parallel lines, are explored before the transformation (pre-image) and after th ...
... 8.G.1 Students use compasses, protractors and rulers or technology to explore figures created from translations, reflections and rotations. Characteristics of figures, such as lengths of line segments, angle measures and parallel lines, are explored before the transformation (pre-image) and after th ...
