Foundations in Geometry

There is one and only one line perpendicular to a given line through a given point on a given line.

• True

• False

If quadrilateral ABCD is drawn with AB//CD , then the quadrilateral is a parallelogram.

• True

• False

If a triangle has an altitude that is outside of the triangle, then the triangle is obtuse.

• True

• False

If two angles are supplementary and share a common ray, then they form a linear pair.

• True

• False

Which terms are considered undefined terms in Euclidean geometry?

• Point, plane, line segment

• Point, line, plane

• Line, plane, angle

• Point, line, ray

∠1 and ∠2 form a linear pair. If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle. {Draw a picture and solve using Geometry and Alg Setups}

• m∠1 = 110° and m∠2 = 70°

• m∠1 = 109° and m∠2 = 71°

• m∠1 = 70° and m∠2 = 110°

• m∠1 = 71° and m∠2 = 109°

∠K and ∠L are complementary angles. If m∠K = (3x + 3)° and m∠L = (10x - 4)°, find the measure of each angle. {Draw a picture and solve using Geometry and Alg Setups}

• m∠K = 24° and m∠L = 66°

• m∠K = 66° and m∠L = 24°

• m∠K = 40° and m∠L = 50°

• m∠K = 30° and m∠L = 60°

Which line contains points S and U?

• line m
• line n
• line p
• 

In the diagram, how many different segments can be named?

• 0

• 1

• 2

• 3