On a coordinate plane, triangle X prime Y prime Z prime has points (negative 4, 5), (negative 6, negative 1), and (negative 2, negative 1).
Triangle XYZ was dilated using the rule DO,0.25 (x, y) → (0.25x, 0.25y).

The image is shown in the diagram. What are the coordinates of Z of the pre-image?

(–8, –4)
(–8, 2)
(–2, –1)
(–0.25, –0.5)

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.