Geometry Chapter Quizzes

What must be true about the slopes of two perpendicular lines, neither of which is vertical?

The slopes have a product of -1.

Complete the statement. If a transversal intersects two parallel lines, then ______.

alternate interior angles are always congruent

Which lines, if any, can you conclude are parallel given that m∠1+m∠2=180.m∠1+m∠2=180. Justify you conclusion with a theorem or postulate.

j∥k, by the Converse of the Same-Side Interior Angles Theorem

Complete the statement. If a transversal intersects two parallel lines, then _____angles are always supplementary.

same-side interior

Enter the circumference of the circle with a radius of 28m to the nearest tenth. Use 3.14 for π.

175.8

Are the lines y = -x - 4 and 5x + 5y = 20 perpendicular? Explain.

No, their slopes are not opposite reciprocals.

Find the value of x (7x-8)degrees (6x+11)degrees

19

Enter the value of xx if m∥l,m∠1=2x+44m∥l,m∠1=2x+44 and m∠5=5x+38.m∠5=5x+38. The diagram below is not to scale.

2

∠DFG∠DFG and ∠JKL∠JKL are complementary angles. m∠DFG=x+1m∠DFG=x+1 and m∠JKL=x−9.m∠JKL=x−9. Enter the measure of each angle.

50, 40

m∠1=6xm∠1=6x and m∠3=120m∠3=120 Enter the value of x if line p is parallel to line q. The diagram is not to scale.

20

Enter the area of a circle with a diameter of 30 inches to the nearest whole number in terms of π.

225

Enter the next two terms of the sequence. 2, 9, 16, 23,

30, 37

M is the midpoint of Line segment CF for the points C(1,5) and F(5,7). Enter the coordinates of M.

3, 6

Enter the value of x. The diagram is not to scale.

33

Enter the next two terms of the sequence. 9, 15, 21, 27,

33, 39

If EF=2x-12, FG=3x-15, and EG=23, enter the values of x, EF, and FG. The drawing is not to scale.

10, 8, 15

Enter the missing angle measures. The diagram is not to scale.

114, 56

Line rr is parallel to line t.t. The diagram is not to scale. Enter m∠5.

135

Select the correct construction of the line that is perpendicular to the given line through the given point.

*the one that looks like a decapitated fish with a half circle going through it*

Select all counterexamples to the conjecture.Conjecture: The product of two positive numbers is greater than the sum of the two numbers.

1 and 1, 2 and 2

Enter the distance between points P(8,2) and Q(0,8) to the nearest tenth if necessary.

10

Enter the number of sides a regular polygon has if each exterior angle measures 10.

36

Enter the distance between points P(4,4) and Q(0,7) to the nearest tenth if necessary.

5

M is the midpoint of Line segment CF for the points C(3,4) and F(9,8). Enter the coordinates of M.

6, 6

Enter m∠Q.m∠Q. The diagram is not to scale.

60

Enter m∠A.m∠A. The diagram is not to scale.

71

If EF=3x-12, FG=4x-15, and EG=29, enter the values of x, EF, and FG. The drawing is not to scale.

8, 12, 17

Enter the values of x, y, and z. The diagram is not to scale.

86, 67, 94

If c⊥b and a∥c what is the m∠2m?

90

Assume that all lines that appear congruent are congruent. Select the three labeled segments that are parallel to EF

AB, GH, CD

Assume that all lines that appear congruent are congruent. Select the three labeled segments that are parallel to DH

AE, BF, GC

Write this statement as a conditional in if-then form: All triangles have three sides.

If a figure is a triangle, then it has three sides.

Select all angles supplementary to ∠AED.∠AED. m∠AED≠90

BEA, DEC

In the figure shown, m∠AED=120.m∠AED=120. Select all true statements. Not drawn to scale.

BEC and CED are adjacent angles, AEB = 60, BEC = 120

The Transitive Property of Congruence states If CD≅EF and EF≅GH, then

CD≅GH

Select the midpoint of AE

D

Complete this statement. A polygon whose sides all have the same length is said to be .

Equilateral

For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional. If x = 8x = 8 then x2 = 64x2 =64.

If x2=64x2=64, then x=8x=8 False

Is the line through points P(0, 5) and Q(-1, 8) parallel to the line through points R(3, 3) and S(5, -1)? Explain.

No, the lines have unequal slopes.

Use the law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. If I can afford to buy a ticket, then I can go to the concert.I can go to the concert.

Not possible.

Select the term that applies to the set of angles.

Supplementary

When a transversal intersects a pair of parallel lines it will create two pairs of alternate exterior angles. Ricky claims the angles within each pair are congruent to each other, but not congruent to either angle in the other pair. Choose if each image supports his claim, refutes his claim, or neither.

Supports, Supports, Refutes, Neither

Name the Property of Congruence that justifies the statement If XY≅WX, then WX≅XY

Symmetric Property

Select the segment that is the intersection of plane TUYX and plane VUYZ.

UY

MOMO bisects ∠LMN,m∠LMO=8x−23∠LMN,m∠LMO=8x−23 and ∠NMO=2x+37.∠NMO=2x+37. Enter the value for xx and m∠LMN.m∠LMN. The diagram is not to scale.

X = 24, M < LMN = 114

Select the values of x and y.

x = 15, y = 17

Select the values of x and y.

x = 65, y = 18

Select all true statements.

∠CBE∠CBEand ∠DEB∠DEB are same-side interior angles, ∠CBA∠CBA and ∠DEF∠DEF are same-side exterior angles, ∠EBH∠EBH and ∠BED∠BED are alternate interior angles