You are watching: Which statements are true about polygons? check all that apply.
Answers
True declaration are:
The political parties of a polygon are segments that intersect exactly two other segments, one at every endpoint
If every one of the sides of a convex polygon are extended, none will contain any kind of points that room inside the polygon
The extension of at the very least one next or diagonal in a concave polygon will contain a allude that is inside the polygon
Step-by-step explanation:
* Lets explain what is the polygon
- The polygon is any type of figure contends least 3 sides
- Every polygon is either convex or concave
- A convex polygon is a polygon v all its interior angles much less
than 180°
- every the diagonals of a convex polygon space inside the polygon
- regular Polygons are constantly convex
- all concave polygons room irregular
- The polygon is concave if at least one that its inner angles is greater
보다 180°
- In a concave polygon, at the very least one diagonal line passes external the figure.
- A concave polygon must have at least four sides
* now lets discover the true statements about the polygon
- every sides and all angle in a polygon space congruent ⇒ no true
(Regulars polygons only have equal sides and also equal angles)
- The sides of a polygon room segments the intersect precisely two other
segments, one at each endpoint ⇒ True
- In a polygon, all segments v a usual endpoint room
collinear ⇒ not true
(collinear way the angle between them is 180°)
- If all of the sides of a convex polygon are extended, nobody of them
will contain any points that are inside the polygon ⇒ True
- The expansion of at least one next or diagonal in a concave polygon
will contain a suggest that is inside the polygon ⇒ True
# Look come the attached numbers for more understand
B D and E
Step-by-step explanation:
1) b) 5
3) a) D
4) b) B"
5.) a)
6.) 88°
9) 2,160°
10.) d) The number of sides is even
15.) a) Reflecting about the y-axis and also then rotating 90° counterclockwise
16) b) (0, 0)
17.) c) This statement is true
18.) a) This declare is false. If a succession of rigid activities maps a pre-image to an image, the pre-image and the image are congruent no matter the details of the sequence of rigid motions
Step-by-step explanation:
1) b) 5 A translate into is a type of rigid revolution that preserves the shape and also dimensions of the pre-image in the image
3) a) D. The letter D has an horizontal heat of symmetry
4) b) B". The reflection of one object around a heat is as much behind the mirror as the object is in prior
5.) a) The arrow will allude in the southwest direction
6.) 88°. A 272° rotation clockwise, is tantamount to a 360° - 272° rotation. Anticlockwise
9) 2,160°.
One rotation = 360°, 6 rotations = 6 × 360° = 2,160°
10.) d) The number of sides is even
The presence of a line symmetry provides equal variety of sides ~ above both face of the line of symmetry, which gives an also an even number of sides
15.) a) Reflecting around the y-axis and also then rotating 90° counterclockwise
Reflecting throughout the heat y = -x, provides (x, y) → (-y, -x)
Reflecting around the y axis gives, (x, y) → (x, -y))
Rotation 90° counterclockwise provides (x, -y) → (-y, -x)
16) b) (0, 0),
Reflection about the line y = x offers (x, y) → (y, x)
Reflection about the heat y = -x provides (x, y) → (-y, -x)
When, (x, y) = (0, 0), (y, x) ≡ (-y, -x)
when
17.) c) This statement is true,
A rigid motion entails the equal readjust of all collaborates on the pre-image to type the image
18.) a) This declare is false. If a sequence of rigid movements maps a pre-image to an image, the pre-image and also the photo are congruent no issue the details of the succession of strictly motions
The preimage and the image formed by a rigid transformation are always congruent
See more: Can Anyone Explain The Purpose Of A Capillary Tube Is To R? How Does Capillary Tube Work In Refrigerator
2, 4, and also 5 top top e2020. I simply took the test. Trust me.
B, D, E
Step-by-step explanation:
Just took test