Honors Geometry

Chapter 1 Test

1.Makeanisometricdrawingof the cube structure at the right.

Use the diagram at the right for Exercises 2–5.

2. Whataretwoothernamesfor

3. Namethreecollinearpoints.

4. Nametwooppositerays.

5. Whatisanotherwaytonameplane ?

6. What is the intersection of the two planes?

Use the diagram at the right for Exercises 7 and 8. Name each of the following.

7. two points that are 2 units from T.

8. a segment congruent to

Use the figure at the right for Questions 9 and 10.

9. Name the angle with measure a

10. Classify WXY and WXZ as acute, obtuse, straight, or right.

Name a pair of the following types of angle pairs.

11. adjacentangles

12. complementaryangles

13. Construct the perpendicular bisector of .

14. Construct the angle bisector of QRS.

Sketch and label the situation described in 15 – 17, then solve.

15. bisects ABC so that mABD = 2y and mWXZ = 5y – 12. What is mWXZ?

16. ABC andABC are supplementary angles. mABC = 8x + 12and mABC = 2x + 28. What is mABC?

17. A rectangle has perimeter 60 m and base 21 m. What is its area?

18. Coordinate Geometry The endpoints of a diameter of a circle are Q (4, -2) and R (3, 6). Find the area of the circle in terms of . (Sketch, label, then solve.)

19.Algebra A rectangle has a base of x units. The perimeter is (6x + 2) units. What is the area of the rectangle in terms of x? (Sketch, label, then solve.)

20. Reasoning A classmate adds two more points to the figure at the right. Are all four points coplanar? Add points to the drawing to justify your answer.

21. Error Analysis A classmate states that when two lines interest, only vertical angles are formed. Explain your classmate’s error.

22. Reasoning Explain why an arc is used when constructing congruent segments.

23. Error Analysis A classmate calculates the area of a rectangle with dimensions 13 cm and 22 cm as 35 cm2. Explain your classmate’s error.

______/ 1 / angle bisector / A. / Points on the same line.
______/ 2 / postulate / B. / A pair of angles who share a vertex, a ray, and do not overlap.
______/ 3 / supplementary angles / C. / A notion or statement that makes so much sense that it does not require proof.
______/ 4 / linear pair / D. / A line, segment or ray the divides and angle into two congruent parts.
______/ 5 / congruent / E. / This refers to points, line and line parts on the same plane.
______/ 6 / supplement / F. / Two angles whose sum is exactly 180◦
______/ 7 / net / G. / A two dimensional representation of a three dimensional object.
______/ 8 / collinear / H. / One part of an angle pair whose sum exactly 180◦
______/ 9 / coplanar / I. / A pair of adjacent angles whose sum is exactly 180◦
______/ 10 / adjacent angles / J. / Exactly the same.

According to your notes:

1. What is the notation for a line?

2. If two angles are the same measure, then they are ______.

3. What is the Area Addition Postulate?

4. What is the formula for distance in the coordinate plane?

5. What is the formula for distance on a number line?

6. What are the two ways you can name a plane?

7. What are the undefined terms in geometry?