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Which construction of parallel lines is justified by the theorem "If two lines are cut by a transversal to form congruent alternate interior angles, then the lines are parallel"?

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The diagram below illustrates the construction of PS parallel to RQ through point P. Which statement justifies this construction?

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In the accompanying diagram of a construction,what does PC represent?

• An altitude drawn to AB

• A median drawn to AB

• The bisector of ∠APB

What is the measure of the largest angle in the accompanying triangle?

• 41

• 83

• 56

In triangle ABC, m∠A = 3x + 1, m∠B = 4x − 17, and m∠C = 5x − 20. Which type of triangle is ABC?

• scalene

• equilateral

• isosceles

In the diagram below, m∠BDC = 100°,m∠A = 50°, and m∠DBC = 30°. Find the measure of angle < BDA

• 50

• 90

• 80

In the accompanying diagram, parallel lines AB and CD are intersected by transversal at points G and H, respectively, m∠AGH = x + 15, and m∠GHD = 2x. Which equation can be used to find the value of x?

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• 2x+x+15=180

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As shown in the diagram below, CD is a median of triangle ABC. Which statement is ALWAYS true?

• Line AD is equal to line DB

• Line AC is equal to line DB

• Line AC is equal to line CB

In the diagram of triangle KLM below, m∠L = 70, m∠M = 50, and MK is extended through N. What is the measure of ∠LKN?

• 60 degrees

• 120 degrees

• 180 degrees

In the diagram below, RCBT and ABC are shown with m∠A = 60 and m∠ABT = 125. What is m∠ACR?

• 125

• 115

• 65