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rosijanka [135]
3 years ago
5

State what additional information is required in order to know that the triangles are congruent for the reason given.

Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

  • C) CA ≅ TR

Step-by-step explanation:

Reason given: SSS

Information given: Two sides of each triangle are congruent to corresponding sides

<u>Missing information is the remaining side, that is:</u>

  • CA ≅ TR

Correct choice is C

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Answer:

x=-\frac{5}{2}

Step-by-step explanation:

2^{2x}=\frac{1}{32}

2^{2x}=\frac{1}{2^5}

2^{2x}=2^{-5}

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x=-\frac{5}{2}

8 0
2 years ago
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2. Draw the image of RST under the dilation with scale factor 2/3 and center of dilation (1,-1). Label the image RST .
professor190 [17]

Answer:

From the graph: we have the coordinates of RST i.e,

R = (2,1) , S = (2,-2) , T = (-1,-2)

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The mapping rule for the center of dilation applied for the triangle as shown below:

(x, y) \rightarrow (\frac{2}{3}(x-1)+1, \frac{2}{3}(y+1)-1)

or

(x, y) \rightarrow (\frac{2}{3}x -\frac{2}{3}+1 , \frac{2}{3}y+\frac{2}{3}-1)

or

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Now,  

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the image R' = (\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(1)-\frac{1}{3} ) or

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For S = (2, -2) ,

the image S'=  (\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} ) or

(\frac{4}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )

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and For T = (-1, -2)

The image T' =  (\frac{2}{3}(-1)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} ) or

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Now, label the image of RST on the graph as shown below in the attachment:

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3 years ago
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Pavlova-9 [17]

Answer:

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Step-by-step explanation:

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