Geometry, Quarter 1, Quiz 1, 2, 3, 4, 5, 6

20

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

x = 10 EF = 8 FG= 15

If EF=2x-12, FG=3x-15, and EG=23, enter the values of x, EF, and FG.

x = 8 EF = 12 FG = 17

If EF=3x-12, FG=4x-15, and EG=29, enter the values of x, EF, and FG.

No, their slopes are not opposite reciprocals.

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

GC, AE, BF

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

GH, AB, CD

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

alternate interior angles are congruent

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

same-side interior

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

equilateral

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

90

If c b and a || c what is the m<2?

DFG = 50 JKL = 40

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

71

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

30

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

225

Enter the area of the circle in terms of pi. Diameter = 30 in.

175.8

Enter the circumference of the circle to the nearest tenth. Use 3.14 for pi. Radius = 28

5

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

10

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

x=121 y=57

Enter the missing angle measures. The diagram is not to scale. 123, 111, 71

114, 56

Enter the missing angle measures. The diagram is not to scale. 124, 125, 65

30, 37

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

33, 39

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

36

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

18

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

2

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

51

Enter the value of x. The diagram is not to scale. 119, 68

x=33

Enter the value of x. The diagram is not to scale. 72, 105

x=86 y=67 z=94

Enter the values of x, y, and z. The diagram is not to scale. 38, 56, 19

x=88 y=71 z=92

Enter the values of x, y, and z. The diagram is not to scale. 57, 35, 17

19

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

If x^2 = 8 then x = 64 False

For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional. If x = 8 then x^2 = 64

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

In the figure shown, AED = 120 Select all true statements.

No; the lines have unequal slopes.

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.

135

Line r is parallel to line t. The diagram is not to scale. Enter m<5.

(3,6)

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

(6,6)

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

x = 10 LMN = 114

MO bisects LMN, LMO = 8x - 23 and NMO = 2x + 37.

Symmetric Property

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

4 blocks

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.

DEC and BEA

Select all angles supplementary to AED.

1 and 1

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

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

Select all true statements.

The one that looks like fish facing up with a curve through it.

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

y - 1 = -4(x - 4)

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

y + 6 = -7(x - 9)

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

y - 6 = -1/2(x + 9)

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

(7, -4)

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

D

Select the midpoint of AE

UY

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

supplementary

Select the term that applies to the set of angles. 52 and 128

It's a square.

Select the three-dimensional figure that matches this net. —[] [][][][] —[]

x = 65, y = 18

Select the values of x and y. 2x-4, 3y, and 126

x = 15, y = 17

Select the values of x and y. 7x+7, 4y, and 112

CD = GH

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

not possible

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.

The slopes have a product of -1

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

Supports Supports Refutes Neither

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.

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

Which lines, if any, can you conclude are parallel given that m<1 + m<22 = 180. Justify you conclusion with a theorem or postulate.

I and II

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

y = 4/9x + 13/9

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

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

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