Lines, Angles, and Triangles Flashcards
7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Lines, Angles, and Triangles flashcards as text
Two similar triangles have corresponding sides in ratio 3:7. A side of the smaller triangle is 12 cm. What is the corresponding side of the larger?
Answer: 28 cm
3/7 = 12/x → x = 84/3 = 28 cm.
Three angles on a straight line are x, 2x, and 3x. What is x?
Answer: 30°
x + 2x + 3x = 180° → 6x = 180° → x = 30°.
A transversal crosses two parallel lines. Corresponding angles are (7x − 4)° and (5x + 20)°. What is x?
Answer: 12
7x − 4 = 5x + 20 → 2x = 24 → x = 12.
In triangle DEF, angle D = 2 × angle E, and angle F = 60°. What is angle D?
Answer: 80°
D = 2E; 2E + E + 60 = 180 → E = 40°; D = 80°.
Which set of side lengths CANNOT form a triangle?
Answer: 2, 3, 7
Triangle inequality: 2 + 3 = 5 < 7, violating the rule that any two sides must sum to more than the third.
Two adjacent angles at an intersection are (8x + 5)° and (4x + 55)°. If they are supplementary, what is x?
Answer: 10
(8x+5)+(4x+55)=180 → 12x+60=180 → x=10.
Triangles ABD and ACE share angle A, with AB = 6, AD = 4, and AC = 9. If the triangles are similar, what is AE?
Answer: 6
AB/AC = AD/AE → 6/9 = 4/AE → AE = 6.