Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
What is the length of line segment SR ?
What is the perimeter of triangle WXY ?
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?
On a number line, the directed line segment from Q to S has endpoints Q at −14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 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 ?
Is triangle cap A prime cap b prime cap c prime a dilation of triangle ABC ? Explain.
What is the scale factor of the dilation?
What is the length of line segment AC ?
What is the length of a leg of the pre-image, triangle RST ?
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?
To prove that triangle cap d cap f cap e approximates triangle cap g cap f cap h by the SAS similarity theorem, it can be stated that the fraction with numerator cap d cap f and denominator cap g cap f is equal to the fraction with numerator cap e cap f and denominator cap h cap f and
Which transformations could have occurred to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?
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
What is the value of x ?
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
If CA is equal to 8 , what is cap c prime cap A prime ?
What are the coordinates of vertex cap j of the pre-image?
What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is 23 the length of the line segment from A to 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
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