Geometry Answers

Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P'Q'R' has vertices P'(1, 0), Q'(0, −1), and R'(−2, −1).

Plot triangles PQR and P'Q'R' on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)

Problem E- The white square in the drawing is located in the centre of the grey rectangle and has a surface area of A. The width of the rectangle is twice the width of a of the square. What is the surface of the grey area(without the white square)?

Image- https://iymc.info/docs/IYMC_Qualification_Round_2020.pdf

If three rectangular holes of 1.5m x 0.3m x 200mm are placed on the wall,

9. How many cubic meters of concrete needed to build the wall?

10. What is the total volume of the rectangular solid holes?

If three rectangular holes of 1.5m x 0.3m x 200mm are placed on the wall, a). How many cubic meters of concrete needed to build the wall? b). What is the total volume of the rectangular solid holes? 

A concrete retaining wall of 10m long, 5m high, and 200mm thick is to be painted with latex paint.

a.) Determine the lateral area to be painted.

b.) How much is the total cost if the painting cost is Php 400 per sqm.