Post on 18-Jan-2018
description
100200300400500
100200300400500
100200300400500
100200300400500
100200300400500
100200300400500
Coordinate
Geometry
ProofsPolygonsTrianglesAngles
and Lines
Parallel Lines
Angles and Lines - 100
1 243
657 8
Name a pair of vertical angles.Answers: 1 and 4; 3 and 2
5 and 8; 7 and 6
Angles and Lines - 200
1 243
657 8
Name a pair of alternate interior angles.Answers: 3 and 6; 4 and 5
Angles and Lines - 300
1 2165
111017 16
46
1215 14
1387
213
9
Classify 4 and 13Answers: Same Side Interior Angles
Angles and Lines - 400 F
C
D
B
E
A
H
G
Name a pair of parallel planes.
Angles and Lines - 500 F
C
D
B
E
A
H
G
Name a pair of skew lines.
Parallel Lines - 100
3
12
456
87910
11
1213
s
tm
kba
14
15
m
s
If 9 15, then which two lines (if any) are parallel?Answer: t // s
Parallel Lines - 200
3
12
456
87910
11
1213
s
tm
ba
14
15
m
s
If 1 14, then which two lines (if any) are parallel?Answer: k // m
k
Parallel Lines - 300
3
12
456
87910
11
1213
s
tm
ba
14
15
m
s
k
If 13 and 12 are supplementary, then which two lines (if any) are parallel?Answer: none
Parallel Lines - 400
3
12
456
87910
11
1213
s
tm
ba
14
15
m
s
k
If 12 and 15 + 10 are supplementary, then which two lines (if any) are parallel?Answer: a // b
Parallel Lines - 500
3
12
456
87910
11
1213
s
tm
kba
14
15
m
s
If 4 1, then which two lines (if any) are parallel?Answer: a // b
Triangles - 100
Classify the triangle by its angles and sides.Answer: Acute, Scalene
14
14.5
8
19°
81°
80°
Triangles - 200
Solve for x.Answer: 57°
90°
33°
x
Triangles - 300
Which side is longest according to the given information?Answer: BA
A
B
C
60°
20° 100°
Triangles - 400
Solve for x.Answer: 79°
22°
x
Triangles - 500
Solve for x and y.Answer: x = 120° y = 60°
55°
65° y° x°
Polygons - 100
Answer: The sum of the interior angles of this figure is 720.
Question: What is a hexagon?
Polygons - 200
Answer: The number of diagonals that can be drawn in this figure is 2.
Question: What is a quadrilateral?
Polygons - 300
Answer: This is the sum of the exterior angles of any convex polygon.
Question: What is 360°?
Polygons - 400
Answer: The sum of the interior angles of this figure is 900.
Question: What is a heptagon?
Polygons - 500Answer: This is the number of diagonals that could be drawn in a polygon with 105 sides.
Question: What is 5355 diagonals?
Proofs - 100Fill in the missing piece to the proof.
Statements Reasons1. m1 = m2 1. Given2. m1 = m3 2. Vertical Angles are 3. ___________ 3. Substitutionm2 = m3
Proofs - 200Provide a justification for the statement.If a // b, then m1 = m2.
Answer: If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.
1 354
6 728 a
b
Proofs - 300Provide a justification for the statement.If m7 = m3, then a // b.
Answer: If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.
1 354
6 728 a
b
Proofs - 400 Put the statements of the proof in order to match the reasons.
1 354
6 728a
bGiven: 1 and 7 are supplementary. Prove: m8 = m4
1. Given2. Def. of Supp. s3. Def.of a Linear Pair4. Substitution5. Reflexive6. Subtraction7. Vertical Angles are 8. Substitution
Statements: A) m8 = m4 B) m7 = m4 C) m8 = m7 D) 1 and 7 are supplementaryE) m1 + m4 = 180F) m1 + m7 = 180G) m1 = m1H) m1 + m7 = m1 + m4
DFEHGBCA
Statements Reasons
Proofs - 500 Complete the proof.18
11a
b
265
9 101413 15 16
127
3 4
s t
Given: a // b; m13 = m4Prove: s // t
1. a // b 1. Given2. m13 = m5 2. If two // lines are cut by a transversal,
then corr. ’s are .3. m13 = m4 3. Given4. m4 = m5 4. Substituion5. s // t 5. If two lines are cut by a transversal and alt.
ext. ’s are , then the lines are //.
It can be done in 5 steps if you split the givens into 2 steps.
Coordinate Geometry - 100
Coordinate Geometry - 200Find the midpoint between the points (3,2) and (6,4)
Answer: (4.5,3)
Coordinate Geometry - 300
Coordinate Geometry - 400Find the midpoint between (2,7) and (1,15).Find the slope of the line that runs through those two points.
Answer: (3/2, 11) and 8
Coordinate Geometry - 500Find the midpoint, slope, parallel slope, and perpendicular slope for the following points.(4,7) and (-1,3)
Answer: (3/2,5) – 4/5 – 4/5 - -5/4
FINAL JEOPARDYCategory
Parallel Lines
What are the five ways we can prove lines are parallel?
• Two lines cut by a transversal and corr angles congruent
• Two lines cut by transversal and alt int angles congruent
• Two lines cut by a transversal and same-side int angles are supplementary
• Two lines perpendicular to the same line• Alt ext angles are congruent