basicsgeo termslinestrianglesmore triangles 100 200 300 400 500
TRANSCRIPT
![Page 1: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/1.jpg)
Basics Geo Terms Lines Triangles More triangles
100100100100100
200 200 200 200 200
300 300 300 300 300
400 400 400 400 400
500 500 500 500500
![Page 2: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/2.jpg)
Describe these shapes
![Page 3: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/3.jpg)
Congruent
100
![Page 4: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/4.jpg)
Describe these shapes
![Page 5: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/5.jpg)
Similar
200
![Page 6: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/6.jpg)
Name all the types of symmetry this object
has
![Page 7: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/7.jpg)
Vertical and horizontal line
And rotational symmetry
300
![Page 8: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/8.jpg)
Find the midpoint between
(7, 4) and (1, -2)
![Page 9: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/9.jpg)
(4, 1)
400
![Page 10: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/10.jpg)
Find the slope of the line that contains
(2, 3) and (-1, 4).
![Page 11: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/11.jpg)
m = -1/3
500
![Page 12: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/12.jpg)
Describe this picture
![Page 13: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/13.jpg)
Ray
100
![Page 14: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/14.jpg)
x
54°
If the entire angle is 121° what is the value of x?
![Page 15: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/15.jpg)
67°
200
![Page 16: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/16.jpg)
Draw a segment bisector
![Page 17: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/17.jpg)
Check answer
300
![Page 18: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/18.jpg)
What is the contrapositive of
If angle A is obtuse, then the measure of angle A
is 120°.
![Page 19: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/19.jpg)
If the measure of angle A is not 120°, then angle A
is not obtuse, .
400
![Page 20: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/20.jpg)
Give an example of the symmetric property.
![Page 21: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/21.jpg)
If a = b, then b = a.
500
![Page 22: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/22.jpg)
How many right angles do perpendicular lines
form?
![Page 23: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/23.jpg)
4
100
![Page 24: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/24.jpg)
Describe the angles
1
2
![Page 25: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/25.jpg)
Corresponding Angles
200
![Page 26: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/26.jpg)
Solve the system
y + 2x = 1
y – 1/2x = 1
![Page 27: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/27.jpg)
(0, 1)
300
![Page 28: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/28.jpg)
Given the lines are parallel what can you tell about the given angles
1
2
![Page 29: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/29.jpg)
Supplementary
400
![Page 30: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/30.jpg)
Give two different ways to prove the lines are parallel
1 2
3 4
5 6
7 8
![Page 31: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/31.jpg)
Alt int angles congruentAlt ext angles congruentCorr angles congruentCons int angles supp
500
![Page 32: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/32.jpg)
Categorize the triangle (2 ways)
![Page 33: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/33.jpg)
Right scalene
100
![Page 34: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/34.jpg)
Solve for x.
12080
x
![Page 35: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/35.jpg)
40
200
![Page 36: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/36.jpg)
How can you prove the triangles are congruent?
![Page 37: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/37.jpg)
HL
300
![Page 38: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/38.jpg)
Give all the steps needed in a proof to prove the triangles are congruent.
Given: AB is parallel and congruent to CD
A B
CD
![Page 39: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/39.jpg)
• Angle BAC is congruent to angle ACD- alt int
• AC congruent to self- reflexive• Triangle BAC congruent to
triangle DCA- SAS
400
![Page 40: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/40.jpg)
See next slide
![Page 41: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/41.jpg)
Give all the steps needed in a proof to prove AD congruent to BC
Given: AB is parallel and congruent to CD
A B
CD
![Page 42: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/42.jpg)
• Angle BAC is congruent to angle ACD- alt int
• AC congruent to self- reflexive• Triangle BAC congruent to
triangle DCA- SAS• AD congruent to BC- CPCTC
500
![Page 43: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/43.jpg)
Describe AB
![Page 44: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/44.jpg)
Perpendicular bisector
100
![Page 45: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/45.jpg)
The point of concurrency of the
perpendicular bisectors
![Page 46: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/46.jpg)
Circumcenter
200
![Page 47: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/47.jpg)
The point of concurrency of the
angle bisectors
![Page 48: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/48.jpg)
Incenter
300
![Page 49: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/49.jpg)
The point of concurrency of the medians is always
where?
![Page 50: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/50.jpg)
Inside the triangle (the center of gravity)
(2/3 the distance from the vertex to the midpoint of the
opposite side)400
![Page 51: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/51.jpg)
Where is the orthocenter of an obtuse triangle?
![Page 52: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500](https://reader035.vdocuments.us/reader035/viewer/2022062718/56649eb35503460f94bba8a8/html5/thumbnails/52.jpg)
Outside the triangle
500