Greg is designing a clock face. using the center of the clock face as the origin, he keeps its diameter at 10 units. match the positions of the hours on the clock face to their corresponding coordinates. tiles 3 o'clock (0, -5) 6 o'clock (5, 0) 9 o'clock (0, 5) 12 o'clock (-5, 0) pairs arrowboth arrowboth arrowboth arrowboth

Given: Center of the clock face is at origin that is ( 0 , 0 )

To find : Position of the hours on the clock faces 3 o'clock , 6 o'clock , 9

o'clock and 12 o'clock.

We know that 3 o'clock on watch is on the straight right side of the center.

So, here 3 o'clock lies on right side of x-axis or positive side of x-axis.

Coordinate of 3 o'clock = ( 5 , 0 )

We know that 6 o'clock on watch is on straight bottom of the center.

So, here 6 o'clock lies on downside of y-axis or negative side of y-axis.

Coordinate of 6 o'clock = ( 0 , -5 )

We know that 9 o'clock on watch is on the straight left side of the center.

So, here 9 o'clock lies on left side of x-axis or negative side of x-axis.

Coordinate of 9 o'clock = ( -5 , 0 )

We know that 12 o'clock on watch is on the straight upside of the center.

So, here 12 o'clock lies on upside of y-axis or positive side of y-axis.

Coordinate of 12 o'clock = ( 0 , 5 )

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation: