Units 1-7 Cumulative Review Part 1

[Pages:2]Units 1-7 Cumulative Review Part 1

Use the figure below for #1.

1. Name five planes shown in the figure

2.

2. Find y if AC 3y 5, CB 4y 1, AB 9y 12, and point C lies between A and B.

Find x and y... Draw and label a picture if points R, S, T, and U are collinear, S is the midpoint of RT, T is

3.

the midpoint of RU, RS 6x 5, ST 8x 1, and TU 11y 13.

4.Draw and label a picture then find y. If mYXZ 4y 13.

5.

, Y is in the interior of WXZ, mWXY 6y 3,

5. Make a conjecture given that mA mB and mB mC.

6. Given: AB CD and BD AC Conjecture: ABDC is a rectangle. Find a counterexample.

7. Complete the proof below by supplying the reasons for each location.

Given: AB BD EFG and CBD are complementary.

Prove: EFG ABC

Statements

1. AB BD, EFG and CBD are complementary. 2. ABD is a right angle. 3. mABD 90 4. ABC CBD ABD 5. mABC mCBD 90 6. ABC and CBD are complementary. 7. EFG ABC

Reasons 1.

2. 3. 4. 5. 6. 7.

Name the definition, property, postulate, or theorem that justifies each statement. 8. Points A, C, and E are coplanar.

9. If AB CD, then AB EF CD EF.

10. If AB XY, then XY AB.

11. If x(y z) a, then xy xz a.

12. If two angles are vertical, then they are congruent.

13. If 1 and 2 are right angles, then 1 2.

Write a two-column proof to prove the following.

14. If

C

and

then

P D

G Q F

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download