Transformations, Parallel Lines and Transversals, Exterior Angle and Triangle Sum

Leslie plans to build a climbing wall for an obstacle course. She draws a sketch that shows a safety support at the base of the wall. Which pair of statements about Leslie's sketch are true? Assume the interior angles of the triangle are correct.

• The angles are alternate interior angles.

• The angles are supplementary.

• The angles are complementary.

• The angles are corresponding angles.

Line segment BA is graphed on the coordinate axes as shown. Which shows a translation of BA 2 units up and 3 units left?

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Lines in the same plane that never meet are called:

• perpendicular

• skew

• supplementary

• parallel

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Transformations

• Congruent

In the diagram below, C̅D̅ is parallel to B̅E. Point B lies on A̅C̅ and Point E lies on A̅D̅. Which statement about ΔABE and ΔACD is true?

• They are congruent because they have the same angle measurements and the same side lengths.

• They are similar because they have the same angle measurements.

• They are not congruent because they have different angle measurements.

• They are not similar because they have different side lengths.

Maple Street and Elm Street are parallel to each other and both intersect Arbor Street.

Which statement must be true?

• measure angle 1 = 80⁰

• measure angle 3 = measure angle 7

• measure angle 2 = 80⁰

• measure angle 7 = measure angle 6

Maria looked at the sketch of a section of roof shown below.

She said that x must be 40º. Which statement justifies Maria’s conclusion?

• A triangle has two congruent angles.

• An obtuse triangle has one obtuse angle and two acute angles.

• The sum of the measures of the angles of a triangle is 180º.

• The measure of an exterior angle equals the sum of the measures of its two remote interior angles.

What do you call a Transformation that Enlarges or Reduces a shape or figure?

• Translation

• Dilation

• Rotation

Find the value of x.

• 14

• 60

• 35

• 180