Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used? A triangle
with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent. A triangle with angles 55 degrees, 35 degrees, and 90 degrees. A triangle with angles 65 degrees, 65 degrees, and blank. A triangle with 3 angles of 60 degrees. All sides are congruent.
1 answer:
Answer:
(A)A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent.
Step-by-step explanation:
If Javier wants to construct a square by drawing two congruent triangles.
- One of the angle of the triangle must be equal to 90 degrees to form one of the vertex of the square.
- The other two sides of the triangle must be equal(congruent) to form the two adjacent side lengths of the square. This gives rise to an Isosceles Triangle with base angles of 45 degrees each.
Therefore, the triangle which could be used is a triangle with angles 45 degrees, 45 degrees, and 90 degrees.
The correct option is A.
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Answer:
(-3/2, 6)
Step-by-step explanation:
(-3,8) (6,-4)
As we move along the line segment with endpoints (-3,8) and (6,-4) from (-3,8) to (6,-4) x increases by 9 units (from -3 to 6) and y decreases by -12 units (from 8 to -4).
for ratio of 1:5
Since 1+5=6, the point we are looking for is 1/6 of the way from (-3,8) to (6,-4).
So, the desired point is
(-3 + (1/6)(9), 8 - (1/6)(12) )
= (-3 + 3/2 , 8 - 2)
= ( (-6 + 3)/2, 6)
= (-3/2, 6)
for map reference see the image below
