Medians, altitudes and bisectors: name them, and find where they meet

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Kira draws triangle DFH. Segment DQ runs from vertex D to Q, the midpoint of side FH, and does not meet FH at a right angle. What is DQ called?

   • a median
   • an angle bisector
   • an altitude
   • a perpendicular bisector
2. 2.

   Luz draws triangle DFH. Segment FS runs from vertex F to side DH and meets DH at a right angle, but S is not the midpoint of DH. What is FS called?

   • an altitude
   • a perpendicular bisector
   • an angle bisector
   • a median
3. 3.

   Milo draws triangle DFH. Segment HU runs from vertex H to U on side DF and splits ∠DHF into two equal angles. What is HU called?

   • a perpendicular bisector
   • an angle bisector
   • an altitude
   • a median
4. 4.

   Noah draws triangle DFH. Line WQ crosses side FH at its midpoint Q, makes a right angle with FH, and does not pass through vertex D. What is WQ called?

   • an angle bisector
   • an altitude
   • a median
   • a perpendicular bisector
5. 5.

   Pia balances a cardboard triangle DFH on a pencil tip at its centroid G. Median DQ is 21 cm long. How long is DG, in cm?

   14
6. 6.

   Tala studies the triangular front DFH of a tent and marks its centroid G. Median DQ is 45 cm long. How long is DG, in cm?

   30
7. 7.

   Zee draws the triangular sail DFH of a model boat and marks its centroid G. Median DQ is 54 inches long. How long is DG, in inches?

   36
8. 8.

   Ari draws triangle DFH and the three medians. They meet at point G. What is point G called?

   • the incenter
   • the centroid
   • the orthocenter
   • the circumcenter
9. 9.

   Esme draws triangle DFH and the three angle bisectors. They meet at point I. What is point I called?

   • the incenter
   • the circumcenter
   • the orthocenter
   • the centroid
10. 10.

    Jun draws triangle DFH and the three altitudes. They meet at point Y. What is point Y called?

    • the centroid
    • the circumcenter
    • the orthocenter
    • the incenter