Bluebook SAT Test Lines, Angles, and Triangles 11

Question 1

In similar triangles ABC and DEF, AB/DE = 4/7. The perimeter of triangle ABC is 24. What is the perimeter of triangle DEF?

Accepted Answer

42

Answer

Perimeters are in the same ratio as sides: perimeter DEF = 24 × (7/4) = 42.

Question 2

A reflex angle and its non-reflex counterpart at the same vertex sum to 360°. If the non-reflex angle is 85°, what is the reflex angle?

Accepted Answer

275°

Answer

Reflex angle = 360° − 85° = 275°.

Question 3

In triangle PQR, PQ = PR = 11 and QR = 10. What is the area of the triangle?

Accepted Answer

6√96 cm²

Answer

Height from P to QR: h = √(11² − 5²) = √(121−25) = √96; area = ½(10)(√96) = 5√96.

Question 4

Two parallel lines are cut by a transversal. The angle formed above line m on the right is 63°. What is the co-interior angle below line n on the right?

Accepted Answer

117°

Answer

Co-interior angles (same-side interior) are supplementary: 180° − 63° = 117°.

Question 5

Which of the following sets of angles CANNOT be the angles of a triangle?

Accepted Answer

91°, 89°, 1°

Answer

91 + 89 + 1 = 181° ≠ 180°, so these cannot form a triangle.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Lines, Angles, and Triangles 11