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 ?
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
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 length of line segment SR ?
What is the value of y ?
What are the coordinates of vertex cap j of the pre-image?
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?
What is the length of a leg of the pre-image, triangle RST ?
What is the scale factor of the dilation?
Is triangle cap A prime cap b prime cap c prime a dilation of triangle ABC ? Explain.
If CA is equal to 8 , what is cap c prime cap A prime ?
If triangle YWZ approximates triangle YXW , what is true about angle XWZ ?
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.
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
What are the coordinates of the endpoints of the segment cap t prime cap v prime ?
If the triangles are similar, which must be true?
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
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