BRAIN TICKLERS—THE ANSWERS

Set # 1

  1.True

  2.False

  3.True

  4.True

Set # 2

  1.True

  2.False

  3.False

Set # 3

  1.Congruent to

  2.Less than

  3.Perpendicular to

  4.Greater than or equal to

Super Brain Ticklers

  1.C

  2.D

  3.E

  4.F

  5.A

  6.H

  7.B

  8.G

Set # 4

  1.True

  2.True

  3.True

  4.False

Set # 5

  1.15 degrees

  2.150 degrees

  3.90 degrees

  4.110 degrees

Set # 6

  1.95 degrees

  2.5 degrees

  3.50 degrees

Set # 7

  1.True

  2.False

  3.True

  4.False

Set # 8

  1.31 degrees

  2.168 degrees

  3.25 degrees, 25 degrees

  4.150 degrees

  5.30 degrees

  6.90 degrees, 90 degrees

Set # 9

Angle ACD ≅ angle BCE

Angle ACB ≅ angle DCE

Angle BED ≅ angle EDA ≅ angle DAB ≅ angle ABE

Super Brain Ticklers

  1.Right

  2.supplementary

  3.congruent

  4.acute

  5.complementary

  6.Vertical

  7.Obtuse

  8.bisector

  9.straight

Set # 10

  1.165

  2.15

  3.165

  4.180

  5.180

  6.180

  7.180

  8.360

Set # 11

  1.False

  2.False

  3.False

  4.True

  5.True

Set # 12

  1.A, S

  2.A, S

  3.V

  4.C

  5.S

  6.S

  7.AE

Set # 13

  1.110

  2.70

  3.70

  4.110

  5.70

  6.70

  7.110

Set # 14

  1.Yes

  2.Don’t know

  3.Don’t know

  4.Yes

  5.Yes

Super Brain Ticklers

  1.four

  2.congruent

  3.intersect

  4.right

  5.a.Corresponding

b.Alternate exterior

c.Alternate interior

  6.supplementary

  7.one

Set # 15

  1.30 degrees

  2.10 degrees

  3.80 degrees

Set # 16

  1.95 degrees

  2.155 degrees

  3.25 degrees

  4.155 degrees

  5.85 degrees

  6.95 degrees

  7.85 degrees

  8.120 degrees

  9.120 degrees

10.60 degrees

Set # 17

  1.True

  2.False

  3.False

Set # 18

  1.True

  2.True

  3.False

Set # 19

  1.False

  2.True

  3.True

Set # 20

  1.False

  2.False

  3.True

Set # 21

  1.True

  2.True

  3.False

Set # 22

  1.True

  2.True

  3.False

  4.True

Set # 23

  1.R, I

  2.S, A

  3.R, S

  4.E, A

  5.I, A

  6.O, S

  7.I, O

  8.O, S

Set # 24

  1.26

  2.15

  3.4 +

Set # 25

  1.12 square inches

  2.20 square inches

Set # 26

  1.Yes

  2.No

  3.Yes

  4.Yes

Super Brain Ticklers # 1

  1.No

  2.Yes

Set # 27

  1.No

  2.Yes

  3.Yes

  4.b = 9, c = 18

  5.a = 6, c = 12

  6.a = 4.5, b = 4.5

Super Brain Ticklers # 2

  1.a = 10, b = 10, c = 20

  2.a = 5, b = 5, c = 10

Set # 28

  1.

  2.

  3.8

  4.3

  5.

  6.

Super Brain Ticklers # 3

  1.

  2.a = 100, b = 100

Set # 29

  1.13 square inches

  2.15 inches

  3.4 inches

Super Brain Ticklers # 4

  1.45-45-90

  2.Obtuse and scalene

  3.60-60-60

  4.50 square inches

Set # 30

  1. = 10

  2. = 5

  3. = 10

  4. = 5

  5.Equilateral

  6.60 degrees

Super Brain Ticklers # 1

  1.8 inches

  2.4 inches

  3.4 inches

  4.8 inches

  5.

Set # 31

  1.Angle Y, which is also angle XYZ

  2.

  3.Angle X or angle YXZ

  4.

Set # 32

Set # 33

  1.3

  2.6

Super Brain Ticklers # 2

  1. = 4

  2. = 8

  3.

  4.

Set # 34

  1.20 degrees

  2.90 degrees

  3.70 degrees

  4.2

Set # 35

  1.30 degrees

  2.150 degrees

  3.60 degrees

  4.60 degrees

  5.120 degrees

  6.60 degrees

  7.60 degrees

Set # 36

  1.110 degrees

  2.70 degrees

  3.70 degrees

  4.110 degrees

  5.70 degrees

  6.30 degrees

  7.40 degrees

  8.60 degrees

  9.90 degrees

10.90 degrees

Set # 37

  1.80 degrees

  2.40 degrees

  3.50 degrees

  4.100 degrees

  5.90 degrees

Set # 38

  1.90 degrees

  2.60 degrees

  3.30 degrees

  4.90 degrees

  5.60 degrees

Set # 39

  1.S, E

  2.A, C, E

  3.E, C

  4.S, E

  5.C, E

Super Brain Ticklers

  1.P, RH, R, S

  2.R, S

  3.RH, S

  4.T

  5.T

  6.R, S

  7.P, RH, R, S

  8.R, S

Set # 40

  1.1,620 degrees

  2.17,640 degrees

  3.156 degrees

  4.165.6 degrees

Set # 41

  1.10 degrees

  2.150 degrees

  3.12 sides

  4.18 sides

Super Brain Ticklers

  1.2,340 degrees

  2.158.82 degrees

  3.140 degrees

  4.10

Set # 42

  1.6 inches

  2.6 inches

Set # 43

  1.Exterior of the circle

  2.Exterior of the circle

  3.On the circle

  4.Interior of the circle

Set # 44

  1.10π

  2.10π

  3.π

  4.3

Set # 45

  1.100π

  2.π

  3.100π

Set # 46

  1.360 degrees

  2.360 degrees

  3.360 degrees

Set # 47

  1.False

  2.False

  3.True

  4.False

Set # 48

  1.True

  2.False

  3.True

Set # 49

  1.2π

  2.7.5π

  3.0.25π

Set # 50

  1.90 degrees

  2.30 degrees

  3.60 degrees

  4.120 degrees

  5.30 degrees

  6.90 degrees

  7.55 degrees

  8.70 degrees

Super Brain Ticklers

  1.36π

  2.8π

  3.6π

  4.25π

  5.4π

Set # 51

  1.15 inches

  2.9 inches

  3.2 square inches

Set # 52

  1.32 inches

  2.40 meters

  3.50 square inches

  4.8 square centimeters

Set # 53

  1.28 units

  2.25 square units

  3.9 square units

  4.40 units

Set # 54

  1.44 inches

  2.72 square inches

  3.24 square units

Set # 55

  1.22 units

  2.18 square units

  3.28 units

  4.36 square units

Set # 56

  1.16 inches

  2.24 square inches

  3.1 square foot

Set # 57

  1.540

  2.360

  3.900

  4.360

  5.A square, rectangle, rhombus, or parallelogram

Set # 58

  1.16 inches

  2.15 feet

  3.48 square meters

  4.75 square inches

Super Brain Ticklers # 1

  1.A pentagon with sides 4 feet long is larger.

  2.An equilateral triangle with sides 12 inches long is larger.

  3.They are both the same.

  4.They are both the same.

  5.A square with sides 4 miles long is larger.

  6.A square with sides 6 kilometers long is larger.

Set # 59

Perimeter = 28 units, Area = 48 square units

Set # 60

  1.125 cubic inches

  2.1 cubic inch

  3.150 square inches

  4.6 square inches

  5.6 cubic inches

  6.22 square inches

Set # 61

  1.32π cubic units

  2.10π cubic units

  3.100π cubic units

Set # 62

  1.36π cubic units

  2.They are the same.

Set # 63

  1.36π square units

  2.36π cubic units

  3.4π square units

  4.π cubic units

Super Brain Ticklers # 2

  1.288π cubic units or 904.32 cubic units

  2.5π cubic units or 16.74 cubic units

  3.1333 π cubic units or 4186.69 cubic units

  4.160π cubic units or 502.4 cubic units

  5.512 cubic units

  6.6 cubic units

Set # 64

Set # 65

  1.II

  2.I

  3.IV

  4.III

  5.The origin

Set # 66

  1.(2, 5)

  2.(5, 5)

  3.(1, 1)

  4.(2, –1)

Set # 67

  1.5 units

  2. units

  3. units

  4. units

Set # 68

  1.

  2.

  3.

Set # 69

  1.True

  2.True

  3.True

  4.True

  5.False

  6.True

Set # 70

  1.y = 5x + 2, slope = 5

  2.y = –2x – 4, slope = –2

  3.y = − x, slope = −

  4.y = – x + , slope = –

Set # 71

  1.

  2.–1

  3.

  4.

Set # 72

  1.Slope = 3, y-intercept = –2

  2.Slope = 1, y-intercept = 0

  3.Slope = 1, y-intercept = –2

  4.Slope = , y-intercept = –5

  5.Slope = 0, y-intercept = 3

Set # 73

  1.y = 2x – 12

  2.y = x

  3.y = x – 1

Set # 74

  1.y = x +

  2.y = − x + 5

  3.y = −x + 2

Set # 75

  1.y = –2x + 11

  2.y = x

  3.y = −x – 8

  4.y = 1

Super Brain Ticklers #1

  1.y = –2x + 15

  2.y = 3

Set # 76

  1.Perpendicular

  2.Parallel

  3.Neither

  4.Parallel

Super Brain Ticklers #2

  1.Quadrant IV

  2.(–2, 1)

  2.

  4.y = − x + 4

  5.

  6.y = 4x

  7.(0, 4)

  8.Never

  9.x = 0

  10.y = − x + 9

  11.Perpendicular

  12.Parallel

Set # 77

  1–7.Copy the constructions in Chapter 11 until you can replicate them easily.

Super Brain Ticklers

  1. Hint: Construct perpendicular lines to create four right angles. Bisect one of the angles to create two 45-degree angles.

  2. Hint: Alternate interior angles are two angles between the parallel lines on the opposite sides of the transversal. When alternate interior angles are equal, the lines are parallel.

  3.Hint: Construct a segment AB. Construct two equal segments starting at points A and B. These segments should be equal to each other but not equal to segment AB.