In Triangle ABC, AC is extended through C to D. If
1 answer:
Answer:
X = 5 unit
Step-by-step explanation:
Given as , ABC is a Triangle ,
AC extended to through C to D
∠BAC = 6x + 10
∠ABC = 6x - 10
∠BCD = ∠ 8x + 20
When c extended to D then , ∠BCD is an external angle
∵ <u>External angle = Sum of opposite internal angles</u>
Or ,∠BCD = ∠BAC + ∠ABC
Or, ∠ 8x + 20 = 6x + 10 + 6x - 10
Or, ∠ 8x + 20 = 12x
Or, 12x - 8x = 20
∴ 4x = 20
So, x = = 5
Hence the value of X = 5 unit Answer
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Answer:
A dilation with a scale factor of One-fourth and then a translation
Step-by-step explanation:
Plot points A, B, C, D, A', B, C' and D' on the coordinate plane and draw quadrilaterals ABCD and A'B'C'D'.
These quadrilaterals are similar and quadrilateral a'B'C'D' has sides 4 times smaller than quadrilateral ABCD.
This means that the dilation with a scale factor of one-fourth was performed.
The figures were not rotated (they have the same positions), so the second transformation was translation.
Hence, correct option is B: a dilation with a scale factor of One-fourth and then a translation
