8th grade Ch5 L2
Authored by Chad Studer
Mathematics
8th Grade
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35 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Use the figure to complete the paragraph proof. (Refer to the diagram with points C, G, F, E, D) Given: m∠1 = m∠2, ∠1 and ∠2 are supplementary. Prove: ∠1 and ∠2 are right angles. Proof: m∠1 + m∠2 = ______ since they are supplementary angles. Since m∠1 = m∠2, then m∠1 + m∠1 = 180° by ______. Solving the equation gives m∠1 = ______. Since m∠1 = m∠2, then m∠2 is also ______. Therefore, ∠1 and ∠2 are right angles.
180°; substitution; 90°; 90°
90°; addition; 45°; 45°
180°; addition; 60°; 60°
90°; substitution; 180°; 180°
2.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Refer to the figure above. Complete the two-column proof to show that if EG = 3x – 1, ED = 2x + 4, and EG = ED, then x = 5.
Given
Substitution
Subtract 2x from both sides
Add 1 to both sides
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Deductive reasoning is used in algebra and geometry proofs to:
arrive at conclusions based on accepted facts and logical steps
make guesses without evidence
use only experimental data
ignore established theorems
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the figure at the right, two lines intersect to form four angles. If m∠7 = 9x and m∠8 = 11x, complete the paragraph proof to show that x = 9. Given: Two intersecting lines with m∠7 = 9x and m∠8 = 11x. Prove: x = 9. Proof: ∠7 and ∠8 form a __________ angle so they are __________ angles. So, m∠7 + m∠8 = __________, by the definition of supplementary angles. By substitution, __________ + 11x = 180. So, x = __________ by the Division Property of Equality.
linear pair; supplementary; 180; 9x; 9
vertical; complementary; 90; 11x; 11
adjacent; congruent; 360; 9x; 20
opposite; supplementary; 180; 11x; 10
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Construct an Argument. Four towns lie on a straight road. Boyd is midway between Acton and Carson. Carson is midway between Boyd and Delta. Write a paragraph proof to show the distance from Acton to Boyd is the same as the distance from Carson to Delta. Given: B is the midpoint of AC and C is the midpoint of BD. Prove: AB = CD. Proof: By the definition of midpoint, __________ = BC and __________ = CD. Therefore, AB = CD by __________.
AB; CD; substitution
BC; AB; addition
AC; BD; subtraction
AB; BC; multiplication
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Construct an Argument. Complete the two-column proof to show that if ∠1 and ∠2 are supplementary and m∠1 = m∠2, then ∠1 and ∠2 are right angles. Prove: ∠1 and ∠2 are right angles. a. ∠1 and ∠2 are supplementary; m∠1 = m∠2
Given
Definition of Supplementary Angles
Vertical Angles Theorem
Addition Property of Equality
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Construct an Argument. Complete the two-column proof to show that if ∠1 and ∠2 are supplementary and m∠1 = m∠2, then ∠1 and ∠2 are right angles. Given: ∠1 and ∠2 are supplementary; m∠1 = m∠2. Prove: ∠1 and ∠2 are right angles. b. m∠1 + m∠2 = 180°
Definition of supplementary angles
Vertical angles theorem
Transitive property of equality
Definition of congruent angles
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