Why is the information in the diagram enough to determine that triangle LMN approximates triangle PON using a rotation about point cap n and a dilation?
Is triangle cap A prime cap b prime cap c prime a dilation of triangle ABC ? Explain.
What is the value of y ?
What are the x - and y - coordinates of point cap p on the directed line segment from cap A to cap b such that cap p is 2 thirds the length of the line segment from cap A to cap b ? x is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 y is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren y sub 2 minus y sub 1 close paren plus y sub 1
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?
A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a ratio of 5 to 9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. x is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 y is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren y sub 2 minus y sub 1 close paren plus y sub 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.
What is the value of x ?
Which transformations could have occurred to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?
What is the scale factor of the dilation?
If CA is equal to 8 , what is cap c prime cap A prime ?
The park owners want to put an information booth halfway between the roller coaster and the water slide. If the roller coaster is located on the map at open paren 7 comma 6 close paren and the water slide is located at open paren negative 3 comma negative 4 close paren , at which coordinates should the information booth be placed?
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
If triangle YWZ approximates triangle YXW , what is true about angle XWZ ?
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
Find the coordinates of cap m , the midpoint of line segment UV , for cap u times open paren negative 4 comma 2 close paren and cap v times open paren 6 comma 10 close paren
On a number line, the directed line segment from cap q to cap s has endpoints cap q at negative 14 and cap s at 2 Point cap r partitions the directed line segment from cap q to cap s in a ratio of 3 to 5 ratio. Which expression correctly uses the formula open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 to find the location of point cap r ?
The midpoint of line segment AB is cap m times open paren 12 comma negative 3 close paren One endpoint is cap A times open paren 3 comma negative 8 close paren Find the coordinates of endpoint cap b
What is the length of line segment AC ?
What is the length of line segment SR ?
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