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Honors Geometry

Review key concepts in geometry including triangle altitudes, clock angles, point properties, and angle reasoning. Practice problems on triangle properties, slopes, coordinates, and triangle angle classifications.

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Honors Geometry

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  1. Honors Geometry Midterm Review

  2. Which term represents the point of intersection of the three altitudes of a triangle? a) centroid b) incenter c) midpoint d) orthocenter

  3. Given ΔABC with A(0, 8), B(–8, –6), and C(6, 0) find the slope of the altitude to BC. • What is the equation of the altitude to BC?

  4. Find the measure of the angle formed by the hands of a clock at 10:15.

  5. Write a concluding statement for each of the following chains of reasoning. m → n ~y → p y → s p → ~n

  6. Given: ∆RST, RS = 12, ST = 5, and TR = 9 • Write an inequality to describe the angles of ∆RST.

  7. Point M is the midpoint of line segment If the coordinates of M are(–2, 7) and the coordinates of point B are (5, 8), find the coordinates of point C.

  8. The ratio of A : B : C of ∆ABC is 4: 5 : 9. Find the measure of the largest angle.

  9. In Kite KITE, which 2 angles must be congruent?

  10. Which term represents the point of intersection of the three Angle Bisectors of a triangle? a) centroid b) incenter c) midpoint d) orthocenter

  11. 11 7 3x – 4 • Find the restrictions of the value of x.

  12. Given: WOSB is a Parallelogram ∠3 ≅4 Prove:

  13. Find the area of right triangle ABF

  14. In ∆PRS, the perimeter is 40, PR = 2x+ 3, PS= x + 7 , and RS = 4x – 5. What is the longest side in ∆PRS? • Classify triangle PRS by its sides. • What is the largest angle?

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