learning geometry i need to determine whether each pair of figures is similar. and explain why or why not: since I cant draw can you help me with this pls im so lost.
1)
triangle xyz
<x 65 degrees
<y is 65
<z is 50
line xy is 2.55
line yz is 3
line zx is 3
triangle ktv
<t is 65
<v is 65
<k is 50
line tk is 4
line kv is 4
line vt is 3.4
done
http://www.jiskha.com/display.cgi?id=1328058135
To determine whether two figures are similar, we need to compare their corresponding angles and side lengths. Let's analyze the given triangles:
Triangle XYZ:
- Angle x = 65 degrees
- Angle y = 65 degrees
- Angle z = 50 degrees
- Line xy = 2.55 units
- Line yz = 3 units
- Line zx = 3 units
Triangle KTV:
- Angle t = 65 degrees
- Angle v = 65 degrees
- Angle k = 50 degrees
- Line tk = 4 units
- Line kv = 4 units
- Line vt = 3.4 units
To determine whether these two triangles are similar, we should check if their corresponding angles are equal and if their corresponding sides have proportional lengths.
Comparing Angles:
The corresponding angles x and t are equal at 65 degrees.
The corresponding angles y and v are equal at 65 degrees.
The corresponding angles z and k are equal at 50 degrees.
Comparing Side Lengths:
To determine whether the side lengths are proportional, we can compare the ratios of corresponding sides:
- Line xy / Line tk = 2.55 / 4 ≈ 0.6375
- Line yz / Line kv = 3 / 4 ≈ 0.75
- Line zx / Line vt = 3 / 3.4 ≈ 0.8824
If the ratios for all corresponding sides are approximately the same, then the triangles are similar.
In this case, the ratios we obtained are not the same for all sides. Therefore, based on the given information, we can conclude that Triangle XYZ and Triangle KTV are not similar.
Remember to always compare corresponding angles and side lengths to determine similarity.