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The triangle was know to prehistoric man. These clever peoples discerned the structural value of the triangle and applied it to building simple shelters and other structures. It's origins are lost in time.

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Where did the triangle originate from?

The triangle was known to ancients, and its origin is lost in history.


How do you rotate triangle 180 degrees about the origin?

Negate each of the x and y components of all three vertices of the triangle. For example, a triangle with vertices (1,2), (8,3), and (5,6) would become (-1,-2), (-8,-3) and (-5,-6) when rotated 180 degrees about the origin.


Triangle ABC below will be dilated with the origin as the center of dilation and scale factor of 1/2?

0.5


Will the sides of the triangle change if rotate a figure 90 degrees clockwise about origin?

No, only their positions will change.


What is the origin of the surname Garland?

Garland is derived from the Old English "gara" and "land". It means "triangle land". The surname originally belonged to a person who owned a triangle-shaped piece of land.


What is the image of triangle FDH after a dilation with a scale factor 5 Centered at the origin?

To find the image of triangle FDH after a dilation with a scale factor of 5 centered at the origin, each vertex of the triangle must be multiplied by the scale factor. If the original vertices of triangle FDH are (F(x_1, y_1)), (D(x_2, y_2)), and (H(x_3, y_3)), the new vertices after dilation will be (F'(5x_1, 5y_1)), (D'(5x_2, 5y_2)), and (H'(5x_3, 5y_3)). This transformation enlarges the triangle while keeping its shape and orientation.


How many degrees has triangle ABC been rotated counterclockwise about the origin?

180 degrees.


When two complex numbers are added together their sum can BEST be represented by which geometric figure?

A triangle, with one of the complex numbers represented by a line from the origin to the number, and then move from that point up and over the amount of the next complex number. Then draw a line segment from the origin to the final point.


How the Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270 and deg about the origin?

That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.


A triangle with vertices at A(0 0) B(0 4) and C(6 0) is dilated to yield a triangle with vertices at A and prime(0 0) B and prime(0 10) and C and prime(15 0). The origin is the center of dilation. Wha?

To determine the scale factor of the dilation, we can compare the distances from the origin to the vertices of the original triangle and the dilated triangle. The distance from the origin to point B (0, 4) is 4, and to B' (0, 10) is 10. Therefore, the scale factor is ( \frac{10}{4} = 2.5 ). Similarly, for point C, the original distance is 6, and the dilated distance is 15, confirming the scale factor of 2.5.


ABC is an isosceles right triangle AB has a slope of neg 1 and m ABC ninety degree's ABC is dilated by a sf of 1.8 with origin as center of dilation resulting in the image ABC what is slope of BC?

In an isosceles right triangle ( ABC ) with a right angle at ( B ) and ( AB ) having a slope of (-1), the slope of ( AC ) would be ( 1 ) since the two legs of the triangle are perpendicular. When the triangle is dilated with a scale factor of ( 1.8 ) from the origin, the slopes of the sides remain unchanged. Therefore, the slope of ( BC ), which is the leg opposite the right angle, remains ( 1 ).


True or False The incenter of a triangle is the center of the only circle that can be inscribed in it.?

True, the definition of incenter is the point forming the origin of a circle within a triangle.Hopefully this helps :)