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Lines, Angles, and Triangles

Math · Geometry and Trigonometry · 49 questions · every one comes with a full explanation.

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  1. 1Triangle upper A upper C upper D partially overlaps triangle upper E upper B upper D. Point upper C is on line segment upper B upper D. Point upper E is on line segment upper A uppHard · Geometry and Trigonometry
  2. 2From left to right, horizontal line segment upper P upper V includes the following points: Upper P Upper Q Upper R Upper S Upper T Upper V Points upper X and upper U are each belHard · Geometry and Trigonometry
  3. 3What is the value of x ?Hard · Geometry and Trigonometry
  4. 4In the figure above, and intersect at point P, , and . What is the measure, in degrees, of ? (Disregard the degree symbol when gridding your answer.)Hard · Geometry and Trigonometry
  5. 5In triangle A B C , the measure of angle B is 90° and BD is an altitude of the triangle. The length of AB is 15 and the length of AC is 23 greater than the length of AB. WhHard · Geometry and Trigonometry
  6. 6In triangles A B C and D E F , angles B and E each have measure 27° and angles C and F each have measure 41°. Which additional piece of information is sufficient to Hard · Geometry and Trigonometry
  7. 7In triangles L M N and R S T , angles L and R each have measure 60 °, L N = 10 , and R T = 30 . Which additional piece of information is sufficientHard · Geometry and Trigonometry
  8. 8In the figure above, what is the length of ?Hard · Geometry and Trigonometry
  9. 9Triangle X Y Z is similar to triangle R S T such that X , Y , and Z correspond to R , S , and T , respectively. The measure of ∠Z is 20 ° and 2 X Y = R S Hard · Geometry and Trigonometry
  10. 10In the figure above, . What is the value of x ?Hard · Geometry and Trigonometry
  11. 11The area of triangle ABC above is at least 48 but no more than 60. If y is an integer, what is one possible value of x ?Hard · Geometry and Trigonometry
  12. 12In triangle RST, angle T is a right angle, point L lies on RS¯, point K lies on ST¯, and LK¯ is parallel to RT¯. If the length of RT¯ is 72 units, the length of LK¯ is 24 unitHard · Geometry and Trigonometry
  13. 13Counterclockwise from top right, the lines are labeled s, r, q, and t. Line s intersects line r above line q. Line s and line r each intersect line q and line t. At the intersectioHard · Geometry and Trigonometry
  14. 14In the figure above, and . What is the length of ?Hard · Geometry and Trigonometry