What does Cpct in geometry mean (corresponding parts of congruent triangles)?

1 answer:

3 0

Answer:CPCT stands for Corresponding Parts of Congruent Triangles which is used to compare the corresponding parts of two congruent triangles to find out the relationship between the parts of the two triangles. ... If AC≅DF, AB≅DE, and BC≅EF, then triangles ABC and DEF are congruent by the SSS postulate. I HOPE THIS HELPS

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bazaltina [42]

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A circle is centered at the point (5,-4) & passes through the point (-3,2).

maxonik [38]

Equation of the circle:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

The equation of a circle is given by

$(x-x_0)^2+(y-y_0)^2=r^2$

where

$(x_0,y_0)$ are the coordinates of the center of the circle

r is the radius of the circle

For the circle in this problem, we know that:

(5,4) are the coordinates of the center

We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

$r=\sqrt{(-3-(5))^2+(2-(-4))^2}=\sqrt{(-8)^2+(6)^2}=\sqrt{64+36}=10$