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Parallel Line angles
Proofs
Supplementary and Complementary Angles
Vertical Angles
Miscellaneous
100
Using the image to the left, what is the relationship between angles 1 and 14?
What is alternate exterior angles?
100
What is the first statement in a proof?
What is the given
100
What does it mean for two angles to be supplementary?
What is they add up to 180 degrees
100
What are vertical angles?
They are angles formed by two intersecting lines and opposite angles are congruent.
100
What kind of statement is If I go to school today, I will be marked present?
What is a conditional statement?
200
Using the image to the left, if m<2=60 degrees, what is the m<14?
What is 120 degrees?
200
What is the last statement in a proof?
What is the prove statement?
200
What does it mean for two angles to be complementary?
What is they add up to 90 degrees
200
Name a vertical angle in the diagram.
answers may vary
200
What is the converse of the statement If I do my homework, then I will get a good grade.
What is If I will get a good grade, then I will do my homework.
300
If m<4 = 2x+9 and m<12 = 3x-2, what is the value of x and the m<4?
What is x=11 and m<4=31 degrees?
300
What is the first reason in every proof?
What is given
300
Name a pair of supplementary angles in the diagram
Options may vary
300
If m<11 = 64 degrees, find the m<16.
What is 116 degrees
300
What is the biconditional statement for the conditional If a figure has four sides, then it is a quadrilateral.
What is A figure has four sides if and only if it is a quadrilateral.
400
If the m<16 = 4x+8 and m<12 = x+2, solve for x and the measure of both angles?
What is x = 34 m<16 = 144 degrees m<12 = 36 degrees
400
Given:<1 is congruent to <3 Prove: <6 is congruent to <3
Statements Reasons 1. <1 is congruent to <3 Given 2. <1 is congruent to <6 vertical < are congruent 3. <6 is congruent to <3 Transitive/Substitution
400
If m<3 = 89 degrees, what is the m<13?
What is 91 degrees
400
If m<10 = 5x+18 and m<13 = 10x-12, find x.
What is x = 6
400
What kind of transformation (rigid motion) maps a vertical angle onto itself?
What is a reflection?
500
Referring to the diagram on the left, if m<6=3x-2 and m<15=x+10, find the value of x and each measure.
What is x = 43 m<6 = 127 degrees m<15 = 53 degrees
500
Prove vertical angles are congruent. Given: angles 1 and 3 are vertical angles Prove: m<1 = m<3
Statements Reasons 1. <1 and <3 are vertical angles Given 2. <1 and <2 are a supplementary Linear Pair Theorem 3. m<1 + m<2 = 180 Def of supp 4. <2 and <3 are supplementary Linear pair theorem 5. m<2 + m<3 = 180 Def of supp 6. m<1 + m<2 = m<2 + m<3 Substitution/Trans 7. m<1 = m<3 Subtraction Property
500
If m<8 = 2x+6 and m<12=4x+3, solve for x and m<12.
What is x=28.5 m<12 = 117 degrees
500
If m<1 = x^2 +8x and m<6=9, solve for x and the measure of angle 1.
What is x=-1 and x=9 m<1 = (-1)^2 + 8(-1) = 1-8 = -7 degrees NO m<1 = (9)^2 + 8(9) = 81 + 72 = 153 degrees YES
500
Factor the following 7x^2 +14x = 21
What is 1, -3