basicsgeo termslinestrianglesmore triangles 100 200 300 400 500

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Basics Geo Terms Lines Triangles More triangle 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

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Page 1: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Basics Geo Terms Lines Triangles More triangles

100100100100100

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300 300 300 300 300

400 400 400 400 400

500 500 500 500500

Page 2: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Describe these shapes

Page 3: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Congruent

100

Page 4: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Describe these shapes

Page 5: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Similar

200

Page 6: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Name all the types of symmetry this object

has

Page 7: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Vertical and horizontal line

And rotational symmetry

300

Page 8: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Find the midpoint between

(7, 4) and (1, -2)

Page 9: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

(4, 1)

400

Page 10: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Find the slope of the line that contains

(2, 3) and (-1, 4).

Page 11: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

m = -1/3

500

Page 12: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Describe this picture

Page 13: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Ray

100

Page 14: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

x

54°

If the entire angle is 121° what is the value of x?

Page 15: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

67°

200

Page 16: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Draw a segment bisector

Page 17: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Check answer

300

Page 18: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

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

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

Give an example of the symmetric property.

Page 21: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

If a = b, then b = a.

500

Page 22: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

How many right angles do perpendicular lines

form?

Page 23: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

4

100

Page 24: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Describe the angles

1

2

Page 25: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Corresponding Angles

200

Page 26: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Solve the system

y + 2x = 1

y – 1/2x = 1

Page 27: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

(0, 1)

300

Page 28: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

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

Supplementary

400

Page 30: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

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

Alt int angles congruentAlt ext angles congruentCorr angles congruentCons int angles supp

500

Page 32: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Categorize the triangle (2 ways)

Page 33: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Right scalene

100

Page 34: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Solve for x.

12080

x

Page 35: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

40

200

Page 36: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

How can you prove the triangles are congruent?

Page 37: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

HL

300

Page 38: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

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

• 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

See next slide

Page 41: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

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

• 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

Describe AB

Page 44: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Perpendicular bisector

100

Page 45: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

The point of concurrency of the

perpendicular bisectors

Page 46: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Circumcenter

200

Page 47: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

The point of concurrency of the

angle bisectors

Page 48: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Incenter

300

Page 49: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

The point of concurrency of the medians is always

where?

Page 50: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

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

Where is the orthocenter of an obtuse triangle?

Page 52: BasicsGeo TermsLinesTrianglesMore triangles 100 200 300 400 500

Outside the triangle

500