Geometry Answers

Explain how to calculate the volumes of the following shapes:

• a cuboid

• a sphere

• a cone

• a triangular prism

• a cylinder

Avani buys a ticket for a raffle with several prizes. The probability that she wins a prize is 3%. Which word or phrase describes the probability that Avani will win a prize?

Imagine you're playing a board game that involves an hourglass filled with sand. Once all of the sand falls to the bottom, your turn is up and it's the next player's turn. If the sand falls at a rate of 16 cubic millimeters per second, how much time do you have for your turn? It may be helpful to first calculate the volume of the sand and then calculate the time.

On a coordinate plane, sketch a quadrilateral object by plotting and connecting coordinate points A (-5, -1); B (-1, -2); C (-2, -5) and D (-6, -4).

3.3  Dilate the object by a scale factor of 1.5. Write down the coordinate points of the image. Is there any mention of symmetry between the object and the image? Explain. Describe and explain the similarity between the object and the image.           

On a coordinate plane, sketch a quadrilateral object by plotting and connecting coordinate points A (-5, -1); B (-1, -2); C (-2, -5) and D (-6, -4).

3.2  Connect B to the origin and rotate the object about the origin in quadrant II, I and IV. Write down the coordinate points of the images. Discuss whether there is symmetry in the final four shapes. Decide whether the images are isometric to the object.                       

given the points below, find xy. round to the nearest hundredth. x(-9,2) and y(5,-4)

Critically review the progression from Grade 4-6 for each of six topics under the content area, Space and Shape (Geometry). Write a short paragraph (three sentences) for each topic in which you discuss and motivate whether the progression provides a fair amount of cognitive and conceptual challenge at the relevant grade levels – too much, too little, or just right?    

Develop a Grade 6 lesson plan on the topic: Daily life Transformation, which would be based on the following aspects.1.Topic 2.Grade 3.Teachers and learners activities 4.Assessment activities  5.Daily Life examples that YOU can use in a symmetry and transformation lesson? 6.Resources needed to be able to present such a lesson.  7.A lesson make provision for an opportunity where learners can explore transformations in daily life. 8.How can learners still learn about transformation even in the absence of technology (think about the South African school context)?  

On a coordinate plane, sketch a quadrilateral object by plotting and connecting coordinate points A (-5, -1); B (-1, -2); C (-2, -5) and D (-6, -4).

3.1 Reflect the object vertically in the x axis. Write down the coordinate points of the vertically reflected image. Describe the symmetry that resulted from the horizontal reflection. Is the image isometric to the object?                                      

The sides of a right triangle are 8, 15 and 17 units. If each side is 1.5 times larger than original size, how many square units will be the area of new triangle?