Triangles A B C and N M L are shown. Angles B A C and L N M are right angles.
1 answer:
The additional information needed to prove both triangles are similar are:
A. ∠B ≅ ∠M
C. △ABC was rotated and dilated by a scale factor between 0 and 1
E. ∠C ≅ ∠L
<h3>What are Similar Triangles?</h3>When a triangle is rotated and dilated by a scale factor, the new triangle formed has the same shape but different size of the original triangle. However, all its corresponding angles remains congruent.
Thus, for triangles ABC and NML to be similar to each other, since we already known each have one congruent right angles, the additional information needed are:
A. ∠B ≅ ∠M
C. △ABC was rotated and dilated by a scale factor between 0 and 1
E. ∠C ≅ ∠L
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Answer:
The equation of the line is y = x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵
→ Simplify it by dividing up and down by 2
∴ m =
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = x + 2
∴ The equation of the line is y = x + 2