All categories

3 years ago

Which system about this figure is true?

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

Answer:

1) It has rotational symmetry with an angle of rotation of 90 degrees.

TRUE, it has rotational degree, FALSE, angle of rotation is 180 degrees

2)It has no reflection symmetry. FALSE

3)It has reflection symmetry with many planes of symmetry. TRUE

4) It has no rotational symmetry. FALSE

Step-by-step explanation:

Rotational Symmetry is when an object is rotated around a center point (turned) a number of degrees and the object appear the same.

Symmetry Order = Number of turns it takes to get to its similar position.

Reflected Symmetry : When a line is drawn which divides the shape in to two equal halves it is called reflective symmetry.

Consider the given figure:

1) It has rotational symmetry with an angle of rotation of 90 degrees.

TRUE, it has rotational degree.

FALSE, it regains its identical shape in 90 degrees, it is in 180 degrees.

2)It has no reflection symmetry.

FALSE, the given figure has reflection symmetry along both horizontal and vertical axis.

3)It has reflection symmetry with many planes of symmetry.

TRUE, it has inflectional symmetry in Horizontal as well a in vertical plane.

4) It has no rotational symmetry.

FALSE, it has a rotational symmetry of ORDER 2

You might be interested in

2x+y-5=0; (0,4)<br>write it in standard form of the equation of the line that is parallel

gulaghasi [49]

Y + 2 - 5 - 0 , (0,4) = 0

8 0

3 years ago

Write an expression that is equivalent to 1/3(24p-33) -iready

Leno4ka [110]

Answer:

664434444455667765433344455576

5 0

2 years ago

Simplify (8z - 10) ÷ (-2) + 5(z - 1). plz show work

Bess [88]

(8z - 10) ÷ (-2) + 5(z - 1) = 8z - 10 ÷ -2 + 5z - 5 = 8z + 5 + 5z - 5 = 13z

6 0

4 years ago

❶ Find the values of x, y and z in each of the case given below ⟼

Ket [755]

Answer:

y = 45° (converse of alternate interior angle theorem)

z = 45° (alternate interior angle theorem)

k = 135° (exterior angle theorem)

Cos θ + Sin θ = √2 Cos θ

(Cos θ + Sin θ)² = (√2 Cos θ)²

(Exponential property of equality)

Cos² θ + Sin² θ + 2 (Cos θ • Sin θ) = (√2 Cos θ)²

(Distributive property)

1 + 2(Cos θ • Sin θ) = (√2 Cos θ)²

(Definition of the pythagorean identity).

This identity is true because, if a² + b² = c². The triangle must be a right triangle, and a right triangle always has a 90° angle tangent to the triangle, and the tangent of 90° is 1, cos applied to the adjacent over hypotenuse, and sin applies to the opposite over hypotenuse, so this identity must work).

1 + 2(Cos θ • Sin θ) = 2 Cos² θ

(definition of an exponent)

1 + 2(Cos θ • Sin θ) – 1 = 2 Cos² θ – 1

(subtraction property of equality)

2(Cos θ • Sin θ) = 2 Cos² θ – 1

2(Sin θ • Cos θ) = 2 Cos² θ – 1

(Associative property of multiplication ; the input for both functions are θ so this rule works, this is an exception)

Sin (2x) = 2 Cos² θ – 1

(double angled identity of 2 sine and cos)

5 0

3 years ago

Used the diagram below to name the relationship of the given angles <br> HELPP MEEE!!!!!!!

Lady_Fox [76]

Answer:

a. vertical

b. corresponding

c. same-side interior angles

d. alternate exterior

e.alternate interior

f. same-side exterior

g. vertical angles

h. corresponding angles

Step-by-step explanation:

Definitions: Alternate interior angles: two nonadjacent interior angles on opposite sides of the transversal.

Same-side interior angles: two interior angles on the same side of the transversal.

Corresponding angles: two angles in corresponding positions relative to the two lines

a. Angle 1 and Angle 4: These angles are vertical angles.

b. Angle 2 & Angle 6: These angles are corresponding angles.

c. Angle 3 and Angle 5: Same-side interior angles

d. Angle 1 & Angle 8: Alternate exterior

e. Angle 4 and Angle 5: Alternate interior angles

f. <2 & <8

Same-side exterior angles

g. <6 & <7 vertical angles

h. <3 & <7

Corresponding angles

3 0

3 years ago