Triangle ABC was dilated by 50%. If AC = 6, what is A'C'?ResponsesA 33B 66C 1212D 1515E 18
Question
Triangle ABC was dilated by 50%. If AC = 6, what is A'C'?ResponsesA 33B 66C 1212D 1515E 18
Solution
A dilation of a triangle by 50% means that each side of the triangle is increased by 50% of its original length.
Step 1: Identify the original length of side AC, which is given as 6.
Step 2: Calculate 50% of the original length. This is done by multiplying the original length by 50/100 (or 0.5). So, 6 * 0.5 = 3.
Step 3: Add the result from step 2 to the original length to find the length of the dilated side A'C'. So, 6 + 3 = 9.
Therefore, the length of A'C' after a dilation of 50% is 9. This option is not listed in the given responses.
Similar Questions
In a triangle, ABC, the length of side BC is 10% more than side AB, and length of side AC is 10% less than that of side BC. If the perimeter of triangle ABC is 309 cm, find the length of side AC.
The diagram shows a triangle ABC with AC = 6 cm, BC = 8 cm, angle BAC = 60° and angle ABC = 𝛾. Find the exact value of sin𝛾, simplifying your answer.
TrianglesABCandDEFare shown above. Which of the following is equal to the ratio ABBC ?
ΔABC is dilated by a factor of 2 to produce ΔA'B'C'.Which statement is not true?A.m∠B' = 62°B.A'B' = 60 unitsC.B'C' = 32 unitsD.m∠A' = 28°
In triangle ABC, A = 90°, AB = 2.5 and AC = 6. If AD is the median, what is the length of AD?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.