GEOM A, U4L5: Lines and Triangles QUIZ

For Triangle FHG, find the measure of the smallest angle, <HFG, if m <GHF = 92 and m<HGF = 72.

A. 16

Write a paragraph proof of Theorem 3-8: In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

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Find the values of x, y, and z. The diagram is not to scale.

B. x = 86, y = 75, z = 94

Find the value of z. The diagram is not to scale.

x = 40.

For every 50 yards on a football field, there is a boldly marked line labeled with the amount of yards. There are two parallel sidelines on each side of the field. If the 50 yard line is perpendicular to one of the sidelines, what is its relationship to the other sideline?

D. The 50 yard line is perpendicular to the other sideline by the Perpendicular Transversal Theorem.

A carpenter cut the top section of a window frame with a 37 angle on each end. The side pieces each have 50 angle cut at their top ends, as shown. Will the side pieces of the frame be parallel? Explain. Diagram not to scale.

No, since 50 + 37 is equal to 87. A perpendicular angle is equal to 90, which 87 is less than. As well, 87 + 87 results in 174, which is less than 180.

Find the value of k. The diagram is not to scale.

k = 73.

A star-patterned quilt has a star with the angles shown, What is the value of x? The diagram is not to scale.

x = 81.