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This printable supports Common Core Mathematics Standard HSG-SRT.A.3

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# Similar Triangles and AA (Grade 10)

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## Similar Triangles and AA

1.
In $Delta ABC$, $m ang A = 88°$ and $m ang B = 33°$. In $Delta FGH$, $m ang F = 88°$ and $m ang G = 59°$. Which of the following is correct?
1. $Delta ABC \ ~ \ Delta FHG$
2. $Delta ABC \ ~ \ Delta FGH$
3. $Delta ABC \ ~ \ Delta HGF$
4. These two triangles are not similar.
2.
In $Delta CDE$, $m ang C = 35°$ and $m ang E = 100°$. In $Delta XYZ$, $m ang X = 100°$ and $m ang Y = 45°$. Which of the following is correct?
1. $Delta CDE \ ~ \ Delta XYZ$
2. $Delta CDE \ ~ \ Delta ZYX$
3. $Delta CDE \ ~ \ Delta ZXY$
4. $Delta CDE \ ~ \ Delta YZX$
3.
In $Delta EFG$, $m ang F = 5°$ and $m ang G = 76°$. In $Delta TUV$, $m ang T = 99°$ and $m ang U = 76°$. Which of the following is correct?
1. $Delta EFG \ ~ \ Delta TUV$
2. $Delta EFG \ ~ \ Delta UVT$
3. $Delta EFG \ ~ \ Delta TVU$
4. $Delta EFG \ ~ \ Delta VUT$
4.
In $Delta DEF$, $m ang D = 50°$ and $m ang E = 63°$. In $Delta RST$, $m ang R = 50°$ and $m ang S = 65°$. Which of the following is correct?
1. $Delta DEF \ ~ \ Delta RST$
2. $Delta DEF \ ~ \ Delta SRT$
3. $Delta DEF \ ~ \ Delta RTS$
4. These two triangles are not similar.
5.
In $Delta BCD$, $m ang B = 53°$ and $m ang D = 74°$. In $Delta LMN$, $m ang L = 53°$ and $m ang M = 53°$. Which of the following is correct? Choose all correct answers.
1. $Delta BCD \ ~ \ Delta LMN$
2. $Delta BCD \ ~ \ Delta MLN$
3. $Delta BCD \ ~ \ Delta LNM$
4. $Delta BCD \ ~ \ Delta NML$
6.
In $Delta ABC$, $m ang A = m ang B = 50°$. In $Delta WXY$, $m ang Y = 80°$. Which of the following is correct?
1. $Delta ABC \ ~ \ Delta WXY$
2. $Delta ABC \ ~ \ Delta XYW$
3. These two triangles are not similar.
4. These two triangles may or may not be similar, but there is not enough information to be certain.
7.
$Delta DEF$ is an isosceles triangle, and $m ang D = 68°$. $Delta PQR$ is also an isosceles triangle, and $m ang P = 68°$. Which of the following is correct?
1. $Delta DEF \ ~ \ Delta PQR$
2. $Delta DEF \ ~ \ Delta QRP$
3. These two triangles are not similar.
4. These two triangles may or may not be similar, but there is not enough information to be certain.
8.
$Delta HJK$ is a right triangle with $bar{HK}$ as the hypotenuse and $m ang H = 53°$. $Delta QRS$ is also a right triangle, with $bar{QS}$ as the hypotenuse and $m ang S = 37°$. Which of the following is correct?
1. $Delta HJK \ ~ \ Delta QRS$
2. $Delta HJK \ ~ \ Delta SRQ$
3. These two triangles are not similar.
4. These two triangles may or may not be similar, but there is not enough information to be certain.
9.
$Delta EFG$ is an obtuse isosceles triangle, $m ang E = 39°$, and $bar{EG}$ is the longest side. $Delta JKL$ is also an obtuse isosceles triangle and $m ang L = 102°$. Which of the following is correct?
1. $Delta EFG \ ~ \ Delta JKL$
2. $Delta EFG \ ~ \ Delta JLK$
3. These two triangles are not similar.
4. These two triangles may or may not be similar, but there is not enough information to be certain.
10.
$Delta ABC$ is a right, isosceles triangle and $m ang A = 90°$. $Delta XYZ$ is also a right, isosceles triangle and $m ang X = 90°$. Which of the following is correct?
1. $Delta ABC \ ~ \ Delta XYZ$
2. $Delta ABC \ ~ \ Delta ZYX$
3. These two triangles are not similar.
4. These two triangles may or may not be similar, but there is not enough information to be certain.
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