splash screen. lesson menu five-minute check (over lesson 11–4) then/now new vocabulary example 1:...
TRANSCRIPT
![Page 1: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/1.jpg)
![Page 2: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/2.jpg)
Five-Minute Check (over Lesson 11–4)
Then/Now
New Vocabulary
Example 1: Classify Polygons
Key Concept: Interior Angles of a Polygon
Example 2: Standardized Test Example
Example 3: Real-World Example: Measure of One Interior Angle
Example 4: Find Tessellations
![Page 3: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/3.jpg)
Over Lesson 11–4
A. 128
B. 126
C. 124
D. 122
Find the value of x.
![Page 4: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/4.jpg)
Over Lesson 11–4
A. 80
B. 60
C. 40
D. 20
Find the value of x.
![Page 5: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/5.jpg)
Over Lesson 11–4
A. cube
B. parallelogram
C. rhombus
D. quadrilateral
Classify the quadrilateral.
![Page 6: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/6.jpg)
Over Lesson 11–4
A. square
B. parallelogram
C. rhombus
D. quadrilateral
Classify the quadrilateral.
![Page 7: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/7.jpg)
Over Lesson 11–4
A. a parallelogram with exactly one pair of parallel sides
B. a quadrilateral with exactly one pair of parallel sides
C. a parallelogram with at least two congruent sides
D. a quadrilateral with at least two congruent sides
Which statement best describes a trapezoid?
![Page 8: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/8.jpg)
You have already classified quadrilaterals. (Lesson 11–4)
• Classify polygons.
• Determine the sum of the measures of the interior angles of a polygon.
![Page 9: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/9.jpg)
• polygon
• diagonal
• interior angle
• regular polygon
• tessellation
![Page 10: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/10.jpg)
Classify Polygons
Determine whether the figure is a polygon. If it is, classify the polygon. If it is not a polygon, explain why.
The figure has 5 sides that only intersect at their endpoints.
Answer: It is a pentagon.
![Page 11: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/11.jpg)
A. pentagon
B. hexagon
C. heptagon
D. octagon
Classify the polygon.
![Page 12: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/12.jpg)
![Page 13: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/13.jpg)
Find the sum of the measures of the interior angles of a heptagon.
A. 1260°
B. 1080°
C. 900°
D. 1620°
Read the Test Item The sum of the measures of the interior angles is (n – 2)180. Since a heptagon has 7 sides, n = 7.
![Page 14: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/14.jpg)
Answer: The answer is C.
Solve the Test Item
(n – 2)180 = (7 – 2)180 Replace n with 7.
= 5 ● 180 Simplify.
= 900 Multiply.
The sum of the measures of the interior angles of a heptagon is 900°.
![Page 15: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/15.jpg)
A. 540°
B. 720°
C. 900°
D. 1080°
What is the sum of the interior angles of an octagon?
![Page 16: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/16.jpg)
Measure of One Interior Angle
TRAFFIC SIGNS A stop sign is a regular octagon. What is the measure of one interior angle in a stop sign?
Step 1 Find the sum of the measures of the angles. An octagon has 8 sides. Therefore, n = 8.
(n – 2)180 = (8 – 2)180 Replace n with 8.
= 6(180) or 1080 Simplify.
The sum of the measures of the interior angles is 1080°.
![Page 17: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/17.jpg)
Measure of One Interior Angle
Step 2 Divide the sum by 8 to find the measure of one angle.
Answer: So, the measure of one interior angle in a stop sign is 135°.
1080 ÷ 8 = 135
![Page 18: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/18.jpg)
A. 720°
B. 128.57°
C. 120°
D. 108°
PICNIC TABLE A picnic table in the park is a regular hexagon. What is the measure of one interior angle in the picnic table?
![Page 19: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/19.jpg)
Find Tessellations
Determine whether or not a tessellation can be created using only regular decagons. If not, explain.
The measure of each interior angle of a regular decagon is 144°.
The sum of the measures of the angles where the vertices meet must be 360°. So, solve 144°n = 360.
144n = 360 Write the equation.
Divide each side by 144.
![Page 20: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/20.jpg)
Find Tessellations
Answer: Since 360 is not evenly divisible by 144, it cannot be used to make a tessellation.
n = 2.5 Simplify.
![Page 21: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/21.jpg)
A. hexagon
B. pentagon
C. quadrilateral
D. triangle
Which regular polygon cannot be used to create a tessellation?
![Page 22: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a](https://reader030.vdocument.in/reader030/viewer/2022032702/56649ce05503460f949a9544/html5/thumbnails/22.jpg)