Chapter 2 Quizzes

So tommorow is our chapter test and i thought we should go over our chapter 2 quizzes to help us since they will probably be like the test we will have tommorow.

Quiz 2.1-2.3

For each conditional, underline the hypotyhesis once and the conclusion twice.

1. If Mellisa practices the flute, then she plays well.

We know Mellisa practices the flute is the hypothesis, because if is before it and we know she plays well is the conclusion, because that is the only possible answer left, plus then is before it.

2. The lake begins to freeze only if the temperature drops below 0 degrees celcius.

I know the lake begins to freeze is the conclusion because only if is after that and in the text book it says: q only if p

So the temperature drops below 0 degrees celcius is the hypothesis.

3. S is the midpoint of RT implies that RS=ST

I know that S is the midpoint of RT is the hypothesis because in the book it says that p implies q and that means that RS=ST is the conclusion.

4. The car will not start if the battery is discharged.

I know that the battery is discharged is the hypothesis, because if is before it so that leaves the car will not start as the conclusion.

Provide a counter example to show that each statement is false.

5. If the sum of 2 integers is even, then the integers are even.

This is false because 3+5=8 3 is odd 5 is odd and 8 is even.

6. An angle is an obtuse if its measure is greater than 90.

This statement is false because the angle could measure 181 degrees and an obtuse angle is one that measures between 90 and 180 degrees.

Tell whether the converse of each conditonal is true or false.

7. If an integer is greater than 10, then it is a positive integer.

It is false because the converse would be if it's a positive integer then it is greater than 10. Well, what if the integer is 5?

8. An angle is a right angle if its measure is 90.

True, because the converse is the angle's measure is 90 degrees if it's a right angle which is true.

9. Given: AC+=BD

Prove: AB=CD

1. AC=BD, given. 2. AB+BC=AC, BC+CD=BD, segment addition postulate 3. AB+BC=BC+CD, substitution property of equality. 4. AB=CD, subtraction property of equality. The proof explains itself.

10. Given measure of angle1 = the measure of angle 3

1. Angle 1 =angle 3, given. 2. Angle 1 + angle 2= angle WOY, angle 2+ angle 3=angle XOZ, angle addition postulate. 3. Angle 2 =angle WOY, Angle 2 =angle XOZ, subtraction property of equality. 4. Angle WOY=angle XOZ, substitution property of equality. The proof plan explains itself.

Prove: the measure of angle WOY = the measure of angle ZOX

In Questions 11-14 is the midpoint of QT, S is the midpoint of RT, RX biscts angle WRZ and RY bisects angle XRZ.

11. By the Midpoint Theorem RS= 1/2_

RS= 1/2 RT. This is correct because it states in the problem that S is the midpoint of RT.

12. If QT=26 then QR =_ and ST=_

QR=13 and ST =6.5. This is correct because QR is 1/2 of QT which = 26, so QR is 13. ST is 1/2 of QR, so ST is 6.5.

13. By the Angle Bisector Theorem measure of angle WRX=1/2 the measure of WRZ.

Angle WRX =1/2 angle WRZ. This is correct because it says that ray RX bisects angle WRZ, so that means that angle WRX is 1/2 of angle WRZ.

14. If the measure of angle YRZ =26 then the measure of angle XRZ =- and the measure of angle WRZ =-

Angle XRZ =52 and angle WRZ=104. Angle YRZ is 1/2 of angle XRZ, and angle YRZ =26 so angle XRZ is 52. Angle XRZ is 1/2 of angle WRZ, so angle WRZ = 104.

1. Vertical angles are _.
Vertical angles are congruent because. This is true because definition of vertical angles.

2. A complement of an acute angle is a _ angle.
A complement of an acute angle is an acutge angle. This is true because if an angle is acute and the compliment of that angle has to be less than 90 degrees making it an acute angle.

3. A supplement of a right angle is a _ angle.
A supplement of a right angle is a right angle. This is true because if one supplement is 90 degrees and 180 degrees minus 90 degrees is 90 degrees, thus it is a right angle.

4. A supplement of an acute angle is a _ angle.
A supplement of an acute angle is an obtuse angle. This is true because if two angles are supplementary then the add up to 180. If one angle is acute (less than 90) than the other angle must be obtuse (more than 90).

5. Find the measure of a supplement of an angle with measure 75.
The supplement is 105, because if one angle is 75 than the supplement has to add up to 180. Thus, 180 minus 75 is 105.

6. If the meaure of angle A=3y, and angle A and angle B are conmplementary angles, find the measure of angle B in terms of y.
90 minus 3y because angle A and angle B are both complementary and angle A is 3y so 90 minus 3y is angle B. Thus, in terms of y you say 90 minus 3y.

7. Name a right angle.
Angle 4, because ray GD is perpendicular to line EB and perpendicular lines form right angles.

8. Name two complementary angles.
Angle 3 and angle 2, because ray GD and line EB are perpendicular so angle GDB is a right angle and angle 3 and angle 2 make up angle GDB.

9. Name two congruent adjacent angles.
angle 4 and angle GDB because ray GD and line EB are perpendicular. So, they form congruent, adjacent angles.

10. Name a supplement of angle EGA.
Angle 1 because angle EGB is a straight angle and angle 1 and angle EGA make up angle EGB.

11. Is the measure of angle 5= 40, then: a, the measure of angle 2 = _ and b, the measure of angle 3=_.
a. 40 because angle 5 and angle 2 are vertical angles so they are congruent and angle 5 =40.
b. 50 because angle 2 and 3 are complements and 90 minus 40=50, so angle 3 =50.

12. If angle 7 is supplementary tosupplementary to angle 8, what can you conclude about angle 7 and angle 9?
Angle 7 is congruent to angle 9 because if two angle share the same compliment, they are congruent.

13. If angle 5 is complementary to angle 3 and angle 3 is congruent to angle 4, what can you conclude about angle 5 and angle 4?
Angle 5 is complementary to angle 4 because angle 3 is the same as angle 4, and angle 5 is complementary to angle 3 and it is also complementary to angle 4.

14. Complete the proof.
Given: Ray AC bisects angle BAD;
angle 1 and angle 2 are comps.;
angle 3 and angle 4 are comps.
Prove measure of angle 2 = measure of angle 4.
1. Ray AC bisects angle BAD,
angle 1 and angle 2 are comps
angle 3 and angle 4 are comps, given
2. angle 1 =angle 3, angle bisector theorem
3. angle 1 + angle 2 =90, angle 3 + angle 4=90, definition of complementary angles.
4.angle 1 +angle 2=angle 3 +angle4, substitution property of equality.
5. angle 2+anlge 4, subtraction property of equality.
Unable to do 15 and 16 because they were graphs.

17. The sum of the measures of a complement and a supplement of an angle is 160. Find the measure of the angle.
(180-x)+(90-x)=160, combine like terms
270-2x=160,subtract 270 from both sides
-2x=-110, divide by -2
x=55

and the scribe is emma!!!!!!!




just kidding its david