alexis087
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

1. A line of symmetry divides a figure into two congruent halves. For each figure, draw the lines of symmetry.
a. the figure has____ lines of symmetry
b. the figure has _____ lines of symmetry
c. the figure has ______lines of symmetry
d. the figure has ______ lines of symmetry

9th grade math

1 A Line Of Symmetry Divides A Figure Into Two Congruent Halves For Each Figure Draw The Lines Of Symmetry A The Figure Has Lines Of Symmetry B The Figure Has L class=

Sagot :

A shape has rotational symmetry whereby it has the same appearance when it is rotated partially, and a line of symmetry cuts an object into two matching halves

The correct values are as follows;

1. a. The figure has four lines of symmetry

b. The figure has six lines of symmetry

c. The figure has five lines of symmetry

d. the figure has two lines of symmetry

2. The error is that rotational symmetry of a octagon are 45°, 90°, 135°, 180°, 225°, 270°, 315°, and 360°

3. a. 90°, 180°, and 270°

b. 120° and 240°

Reasons:

1. a. The lines of symmetry of the figure are;

  • A vertical line
  • An horizontal line
  • A diagonal inclined 45° to the horizontal
  • A diagonal inclined at 135° to the horizontal

Therefore;

  • The figure has four lines of symmetry, the correct option is option a.

b. The figure is a regular hexagon and it has six lines of symmetry

  • The figure has six lines of symmetry

c. A star has five lines of symmetry

Therefore;

  • The figure has five lines of symmetry

d. A rhombus has two lines of symmetry

  • The figure has two lines of symmetry

2. The error is that rotational symmetry of a octagon are 45°, 90°, 135°, 180°, 225°, 270°, 315°, 360°

3. a. The lines of symmetry are perpendicular, therefore, the figure has rotational symmetry of 90°, 180°, and 270°

b. The triangle has three lines of symmetry, therefore, the rotational symmetry are [tex]\dfrac{360^{\circ}}{3} = 120^{\circ}[/tex] apart, therefore

The angles of rotational symmetry are; 120° and 240°

Learn more about rotational symmetry here:

https://brainly.com/question/12859850

https://brainly.com/question/17759737

View image oeerivona
View image oeerivona
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.