Triangles
Two interior angles of a triangle have a sum of 130 degrees. What is the measurement of the third angle?
50 degrees.
What is the diameter of a circle that has a radius of 12.2 feet?
24.4 feet
Coordinate A (5, 12) is translated six units left and 3 units down. What is the resulting image coordinate?
A' (-1, 9)
Coordinate A (6, 7) is reflected across the x-axis. What is the coordinate of the image (output)?
A' (6, -7)
Coordinate A (4, 5) is rotated 90 degrees counterclockwise around the origin. What is the resulting coordinate after the transformation?
A' (-5, 4)
A triangular barrier has the following side lengths:
Side A = 13 feet
Side B = 21 feet
Side C = x
Write an inequality that represents the possible side lengths of Side C.
8 < x < 34
What is the radius of a circle that has a diameter of 8.6 inches?
4.3 inches
Coordinate B (-5, -9) is translated 3 units right and 6 units up. What is the resulting output image of Coordinate B?
B' (-2, -3)
Coordinate B (-11, 9) is reflected across the y-axis. What is the coordinate of the image (output)?
B' (11, 9)
Coordinate B (3, 7) is rotated 90 degrees clockwise around the origin. What is the resulting coordinate after the transformation?
B' (7, -3)
1m, 2m, 3m. Do these side lengths make a triangle?
No.
Using 3.14 for pi, solve for the circumference of a circle with a radius of 6m.
37.68m
Line Segment AB has the following coordinates:
A (5, -8)
B (0, 4)
It is translated 7 units up and 8 units left. What are the resulting output image coordinates?
A' (-3, -1)
B' (-8, 11)
Line segment CD has the following coordinates:
C (6, 10)
D (2, 7)
It is reflected across the x-axis. What are the resulting coordinates?
C' (6, -10)
D' (2, -7)
Coordinate C (-8, 9) is rotated 180 degrees around the origin. What is the resulting coordinate after the transformation?
C' (8, -9)
The sum of the interior angles of a triangle could be represented by the following equation:
2x + y = 180
If y = 30.4, solve for the value of 'x.'
x = 74.8
Using 3.14 for pi, solve for the area of a circle with a diameter of 5 yards.
19.625 sq yds
Line Segment CD has the following coordinates:
C (-21, -11)
D (5, -6)
It is translated 13 units down and 9 units right. What is the resulting output image coordinate?
D' (14, -19)
Triangle ABC has the following coordinates:
A (3, 5)
B (-2, 2)
C (1, -1)
It is reflected across the y-axis. What are the resulting coordinates?
A' (-3, 5)
B' (2, 2)
C' (-1, -1)
Triangle ABC has the following coordinates:
A (1, 5)
B (1, 10)
C (3, 7)
It is rotated 90 degrees clockwise around the origin. What are the resulting coordinates?
A' (5, -1)
B' (10, -1)
C' (7, -3)
x + y + z = 180
If x = 24 and z = 3x, then y = ?
84
The diameter of a circular pool is half of the diameter of a circle with a radius of 26 feet. Calculate its circumference. Use 3.14 for pi.
81.64 feet.
Triangle ABC has the following coordinates:
A (4, -1)
B (3, 8)
C (10, 7)
It is translated 11 units right and 2 units up. What is the resulting output image coordinate?
A' (15, 1)
B' (14, 10)
C' (21, 9)
Triangle DEF has the following coordinates:
D (0, 3)
E (0, 8)
F (-6, 5)
It is reflected across the x-axis. What are the resulting coordinates?
D' (0, -3)
E' (0, -8)
F' (-6, -5)
Triangle DEF has the following coordinates:
D (-2, 3)
E (-2, 9)
F (-7, 5)
It is rotated 180 degrees around the origin. What are the resulting coordinates?
D' (2, -3)
E' (2, -9)
F' (7, -5)