Answer:
O A.
Step-by-step explanation:
<u>Option A</u> identifies two angles (sufficient for similarity) and one side, sufficient (with similarity) for congruence. The applicable congruence theorem is AAS.
<u>Option B</u> identifies two sides and the angle not between them. The two triangles will be congruent in that case only if the angle is opposite the longest side, which is <u>not true</u> in general.
<u>Option C</u> same deal as Option A.
<u>Option D</u> identifies three congruent angles, which will prove the triangles similar, but not necessarily congruent.
Answer:
4. 11/6, 121/36
5. 5/8, 25/64
6. 4/7, 16/49
7. 14/9, 196/81
Step-by-step explanation:
The ratio of perimeters is the same as the ratio of corresponding legs:
perimeter ratio = red leg/blue leg
The area ratio is the square of that:
area ratio = (perimeter ratio)²
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<h3>4.</h3>
perimeter ratio = 11/6
area ratio = (11/6)² = 121/36
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<h3>5.</h3>
perimeter ratio = 5/8
area ratio = (5/8)² = 25/64
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<h3>6.</h3>
perimeter ratio = 4/7
area ratio = (4/7)² = 16/49
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<h3>7.</h3>
perimeter ratio = 14/9
area ratio = (14/9)² = 196/81
Answer: OPTION A.
Step-by-step explanation:
You can observe that in the figure CDEF the vertices are:
And in the figure C'D'E'F' the vertices are:
For this case, you can divide any coordinate of any vertex of the figure C'D'E'F' by any coordinate of any vertex of the figure CDEF:
For C'(-8,-4) and C(-2,-1):
Let's choose another vertex. For E'(8,8) and E(2,2):
You can observe that the coordinates of C' are obtained by multiplying each coordinate of C by 4 and the the coordinates of E' are also obtained by multiplying each coordinate of E by 4.
Therefore, the rule that yields the dilation of the figure CDEF centered at the origin is:
→
Answer:
Step-by-step explanation:
<u>The angles B and Q should be same, therefore:</u>
- Q = 4x + 2 and B = 15x - 64
<u>The equation below as per above, solving for x:</u>
- 4x + 2 = 15x - 64
- 15x - 4x = 64 +2
- 11x = 66
- x = 6
<u>Then the angle measures:</u>
