Proving Lines Parallel — Unit test Answers

Two parallel lines are crossed by a transversal.

Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.

If triangle RST is an acute triangle, then m∠S must be

Triangle XYZ is isosceles. Angle Y measures a°.

Consider the diagram.

Based on this information, which pair of lines, together, could be perpendicular to RS? Select two options.

Given: and Prove: What is the missing reason in the proof?

Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.

Horizontal lines e and f are cut by vertical lines a and b. At the intersection of lines a and e, the uppercase right angle is (x + 1) degrees. At the intersection of lines a and f, the bottom right angle is (x minus 3) degrees. At the intersection of lines b and e, the bottom left angle is y degrees.

Which statements are true about the figure? Select two options.

Consider the diagram.

A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?

Two parallel lines are crossed by a transversal.

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees.

In the diagram, CE=12 units and BE=5 units.

Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent.

Given: mTRV = 60° mTRS = (4x)°Prove: x = 30What is the missing reason in step 3?

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?

In which diagram do angles 1 and 2 form a linear pair?