Secondary Math II
description
Transcript of Secondary Math II
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Credits
6.15/6.16
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Define similar.
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Determine if the two polygons are similar. Justify your answer.
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7
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Determine if the two polygons are similar. Justify your answer.
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Determine if the two polygons are similar. Justify your answer.
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Given that the polygons are similar, find the values of x and y.
4 4 9
18
12
8
x-5
y+3
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Randy is drawing a scale model of a living room that she is going to redecorate. If ¼ inch on the drawing represents 10 inches, find the measure of the actual room if the
drawing is 8 inches by 7 inches.
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Answer: same shape, but not always the
same size
Define similar.
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Answer: NO, because the sides are not proportional.
Determine if the two polygons are similar. Justify your answer.
5 5
12
12
5 5
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Answer: YES, the sides are proportional and the angles are congruent
Determine if the two polygons are similar. Justify your answer.
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Answer: NO, because the angles are not congruent
Determine if the two polygons are similar. Justify your answer.
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Answer: x = 32, y = 6
Given that the polygons are similar, find the values of x and y.
4 4 9 y + 3
18
12
8
x - 5
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Answer: 320 in by 280 in
Randy is drawing a scale model of a living room that she is going to redecorate. If ¼ inch on the drawing represents 10 inches, find the measure of the actual room if the
drawing is 8 inches by 7 inches.
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Name the three ways that you can prove two triangles are similar.
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Complete the similarity statement.
A
B C
D
E F
_________~ byABC
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Complete the similarity statement.
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5
6
15
4040
X
Y Z
L
MN
________~ byXYZ
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Given the two triangles are similar solve for x.
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8
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x² - 4x
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Given the two triangles are similar, solve for x and y.
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x + 2
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y - 8
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Answer: AA, SSS, SAS
Name the three ways that you can prove two triangles are similar.
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Answer: DEF, AA
Complete the similarity statement.
A
B C
D
E F
_________~ byABC
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Answer: LMN by SAS
Complete the similarity statement.
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5
6
15
4040
________~ byXYZ
X
Y Z
L
MN
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MQ // OP
Alternate Interior Angles<MNQ~<PNO
AA
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Answer: x = 6, -2
Given the two triangles are similar solve for x.
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8
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x² - 4x
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Answer: x = 13, y = 12
Given the two triangles are similar, solve for x and y.
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502
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x + 2
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y - 8
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Complete the proportion.
A
B C
D E
ACAB
AD
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Complete the proportion.
A
B C
D E
AB
DE
AD
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Complete the proportion.
A
B C
D E
AB
ADAE
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Solve for x.
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x
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Solve for x.
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6x
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Solve for x.
x
8
x + 4
12
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Answer: AE
Complete the proportion.
A
B C
D E
ACAB
AD
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Answer: BC
Complete the proportion.
A
B C
D E
AB
DE
AD
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Answer: AC
Complete the proportion.
A
B C
D E
AB
ADAE
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Answer: x = 15
Solve for x.
4
66
x
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Answer: x = 5
Solve for x.
5
6x
12
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Answer: x = 8
Solve for x.
x
8
x + 4
12
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Find the coordinates of the centroid
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Find the coordinates of the centroid
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Answer: QP = 8
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Answer: GH = 10
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Answer: x = 8
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Answer: (3, 2)
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Answer: (-2 , -4)
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Answer: x = 1.7
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Solve for x:
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Solve for x:
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Solve for x:
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Solve for x:
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Answer: x = 60
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Answer: x = 16
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Answer: x = 12
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Answer: x = 25
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Answer: x = 16
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Answer: x = 25
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Find the midpoint of (1,-2) and (9, 8)
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Given Triangle ABC has coordinates of A (1,1) B (3,5) and C (8,-2), if it is dilated by a factor of 3,
what are the new coordinates?
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Given Triangle ABC with points A(0,-3) B(6,3) C (12,0). Find the new coordinates after a dilation factor
of 1/3
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Answer
Find the scale factor.
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Answer
Find the scale factor of:
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Answer: (5, 3)
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Answer: A´ (3,3) B´ (9,15) and C´(24,-6)
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Answer: A´ (0,-1) B´ (2,1) and C´(4,0)
Given Triangle ABC with points A(0,-3) B(6,3) C (12,0). Find the new coordinates after a dilation factor
of 1/3
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6.15 - 400 Answer
Answer: 3.5
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Answer: 1.5
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Answer: (1, 4)