Geometry Quarter 1 quizzes

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)

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

equilateral

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

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

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

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

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

60

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

Symmetric Property

Enter the circumference of the circle to the nearest tenth. Use 3.14 for π.

175.8

Enter the number of sides a regular polygon has if each exterior angle measures 20.

18

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

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

2 and 2, 1 and 1

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.

x=10 and m∠LMN 114

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

x=114 and y=56

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

x=8, EF=12, and FG= 17

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

x=80, y=67, and z=94

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

x=88, y=71, z=92

Select the equation for the line parallel to y = -7x + 15 that contains P(9, -6).

y+6=−7(x−9)

Write an equation in slope-intercept form of the line through points S(-10,-3) and T(-1,1)

y=−49x−139

Select the equation for the line parallel to y = -4x + 10 that contains P(4,1).

y−1=−4(x−4)

Select the equation for the line perpendicular to y = 2x - 5 that contains (-9, 6).

y−9=−1/2(x+6)

Select all true statements.

∠CBE and∠DEB are same-side interior angles, ∠EBH and∠BED are alternate interior angles,∠CBE and ∠DEB are same-side interior angles

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

No, their slopes are not opposite reciprocals.

Find the value of x

19

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

UY

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)

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

∠BEA, ∠DEC

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

121 and 57

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

135

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

CD, AB, GH

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

CD≅GH

Select the midpoint of AE

D

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

alternate interior angles are congruent

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

20

Enter the area of the circle in terms of π

225

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

30 and 37

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

33

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

33, 39

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

36

Select the graph that represents -4x + 7y = -28.

3rd one

Noam walks home from school by walking 12 blocks north and then 5 blocks east. How much shorter would his walk be if there were a direct path from the school to his house? Assume that blocks are square.

4 blocks

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

5

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

5.3

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

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

51

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

71

If c⊥b and a // c what is the m∠2

90

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

GC, AE, BF

Which two lines are parallel? I. 5y = -3x-5 II. 5y = -1-3x III. 3y - 2x = - 1

I and II

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.

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 theline through points R(3, 3) and S(5, -1)? Explain.

No, the lines have unequal slopes

Select the three-dimensional figure that matches this net.

The cube.

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 _____angles are always supplementary.

same-side interior

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

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

the first one

Select the values of x and y.

x = 15, y = 17

Select the values of x and y.

x = 65, y = 18

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

x= 10, EF= 8, and FG= 15