Similarity Transformations - Test Test Answers

What are the coordinates of vertex cap j of the pre-image?

What is the y -coordinate of the point that divides the directed line segment from cap j to cap k into a ratio of ratio of 2 to 3 ? 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 is the value of x ?

What is the length of line segment AC ?

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 ?

If point cap p is 4 sevenths of the distance from cap m to cap n , what ratio does the point cap p partition the directed line segment from cap m to cap n into?

Which best explains why all equilateral triangles are similar?

What are the coordinates of the endpoints of the segment cap t prime cap v prime ?

Right triangle ABC is reflected over line segment AC , then dilated by a scale factor of 2 thirds to form triangle DEC Which statements about the two triangles must be true? Choose three correct answers.

What is the length of line segment SR ?

What is the value of y ?

Which value of x would make line segment TV is parallel to line segment QS ?

We are given line segment AB is parallel to line segment DE Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal line segment CB and are therefore congruent, so angle CED is congruent to angle CBA We can state angle cap c is congruent to angle cap c using the reflexive property. Therefore, triangle ACB approximates triangle DCE by the

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 perimeter of triangle WXY ?

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

Which statements are true? Choose three correct answers.

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?

Which transformations could have occurred to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

If triangle YWZ approximates triangle YXW , what is true about angle XWZ ?

Which value of y would make OP is parallel to LN ?

Which statements are true? Choose three correct answers. (The formula for the area of a triangle is cap A is equal to 1 half b h )

What is the scale factor of the dilation?

What is the length of line segment BC ?

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