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Please help me!! I need to get this right to pass ASAP



1.
Isosceles trapezoid TRAP is shown below. What are the coordinates of point T?

(-4a, 0)

(-b, 0)

(0, -4a)

(-3b, 0)


2.

What type of triangle is shown below?

equilateral

right

isosceles

scalene

Please help me I need to get this right to pass ASAP 1 Isosceles trapezoid TRAP is shown below What are the coordinates of point T 4a 0 b 0 0 4a 3b 0 2 What typ class=
Please help me I need to get this right to pass ASAP 1 Isosceles trapezoid TRAP is shown below What are the coordinates of point T 4a 0 b 0 0 4a 3b 0 2 What typ class=

Respuesta :

JonHenderson55
Answers:  
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Question 1)   [A]:  " (- 4a , 0) " .
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Question 2)  [C]:  " isosceles " . 
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Explanation:
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Question 1)  We are asked to find the coordinates for "point T". 

From the graph of the trapezoid given; 
Note that the "x-coordinate" given for "point A" is:   "-a " .
Note that the  "x-coordinate" given for "point P" is: " -3a ". 
To find the "x-coordinate" for "point T" ; we calculate as follows:
   " -a - 3a = -4a ".   
As shown on the graph, the "y-coordinate" for "point T" is:  " 0".
Hence, the coordinate for "point T" is:  " (- 4a , 0 )" ;
 
→  which is:  " Answer choice:  [A]:   " (- 4a , 0) " .
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Question 2):  The triangle is an "isosceles" triangle.

Note:  From the graph of the triangle shown, the "bottom" of the triangle; that is, from "point A to point C" is " 10a units" in length:

Note:  5a + |-5a|  = 5a + 5a = 10a . 

AB and BC are equal — but neither is equal to "10a" ; 
 { since neither AB or BC form a diagonal of a "square"}.

By definition, an "isosceles triangle has 2 (two) equal sides ; 

which is:  "Answer choice:  [C]:  " isosceles " . 
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Note:  Consider the other answer choices:
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Choice [A]:  "equilateral" is incorrect.  Note that all equilateral triangles are isosceles triangles, but not all isosceles triangles are equilateral triangles. Equilateral triangles have 3 (three) equal sides {and 3 (three) equal angles, each of which measures 60°}.   This given triangle  does NOT have 3 (three) equal sides—but only two (2)— so we can rule out "Choice: [A] " .
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Choice: [B]:  "right"  is incorrect.  This is NOT a right triangle;  since there are no right angles (no "90° angles") in this triangle.  So we can rule out "Choice [B] " .
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Choice: [D]:  "scalene" is incorrect.  A "scalene triangle" has all 3 (three) sides of different (unequal) lengths.  This triangle has two (2) sides of equal length, so we can rule out "Choice: [D] " .
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Hope this helps!
  Best wishes.

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