Math

Which angles are corresponding angles?

a. 8 and 16

What is the conclusion of the following conditional? A number is divisible by 3 if the sum of the digits of the number is divisible by 3.

d. The number is divisible by 3

Classify the triangle by its sides. The diagram is not to scale

d. equilateral

Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side?

d. greater than 11 and less than 23

What is the name of the segment inside the large triangle?

d. mid segment

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible

d. not possible

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

d. not possible

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

d. x = 86, y = 67, x = 94

The complement of an angle is 25. What is the measure of the angle?

65

What is the inverse of this statement? If he speaks Arabic, he can act as the interpreter

d. If he does not speak Arabic, he can't act as the interpreter

Which three lengths could be lengths of the sides of a triangle?

10 cm 15 cm 24 cm

Use the Law of Syllogism to draw a conclusion from the two given statements. If a number is a multiple of 64,then it is a multiple of 8. If a number is a multiple of 8, then it is a multiple of 2

a. if a number is a multiple of 64, then it is a multiple of 2

two sides of a triangle have lengths 10 and 15. what must be true about the length of the third side

a. less than 25

Find the values of x and y

a. x = 15, y = 17

Use the information given in the diagram

a.Reflexive Property, Given

Find the center of the circle that you can circumscribe about the triangle

b. (-1, 1/2)

1 and 2 are supplementary angles. m 1 = x - 39, and m 2 = x + 61. Find the measure of each angle

b. 1 =40, 2 = 140

If A and B are supplementary angles and m A = 4m B, find m A and M B

b. 144, 36

Find the sum of the measures of the angle of the figure

b. 180

Find the value of the variable. The diagram is not to scale

b. 19

Find the value of the variable if m ||

b. 2

Find the perimeter of the rectangle. The drawing is not to scale

b. 208 feet

If 8 measures 119, what is the sum of the measures of 1 and 4?

b. 238

Q is equidistant from the sides of TSR. Find the value of x. The diagram is not to scale

b. 3

SQ bisects RST, and m RSQ = 3x - 9. Write an expression for RST. The diagram is not to scale.

b. 6x-18

Find the value of k. The diagram is not to scale

b. 73

Which statement is true?

b. EBH and BED are same-side angles

The triangular playground has angles whose measures are in the ratio 8 : 3 : 9. What is the measure of the smallest angle?

a. 27

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

a. 33

m 3 = 37. Find m 1

a. 37

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

a. 3x - 4 = 5

Use the Law of Syllogism to draw a conclusion from the two given statements. If not possible, write not possible

a. 3x -4 = 5

MO bisects LMN, m LMN = 5x - 23, m LMO = x + 32, Find m NMO. The diagram is not to scale.

a. 61

The folding chair has different settings that change the angles formed by its parts.

a. 96

List the sides of ABC in order from shortest to longest.

a. AB; AC; BC

Name the ray in the figure

a. BA

Name the ray that is opposite BA

a. BD

Are points B, J, and C collinear or noncollinear?

a. Collinear

Which point is the midpoint of AE?

a. D

Which statement is not necessarily true?

a. DK = KE

The length of DE is shown. What other length can you determine for this diagram?

a. EF = 12

Name the plane represented by the front of the box

a. FBC

Name the Angle included by the sides PN and NM

a. N

Are O, N , and P collinear? if so, name the line which they lie

a. No, the three points are not collinear

Name the line and plane shown in the diagram.

a. RS and plane RSU

Name the Property of Congruence that justifies the statement:

a. Symmetric Property

Based on the pattern, make a conjecture about the sum of the first 20 positive even numbers

a. The sum is 20 x 21

Q is equidistant from the sides of TSR. find RST

a. 25

List the sides in order from shortest to longest.

LJ, JK, LK

What other information do you need in order to prove the triangles congruent using the SAD Congruence Postulate?

AC BD

Find the value of x

a. -19

Find the midpoint of PQ

c. (-2, -1)

Two sides of a triangle have lengths 10 and 18. Which inequalities describe the values that possible lengths for the third side?

x > 8 and x < 28

Based on the pattern, what are the next two terms of the sequence?

5/243 , 5/729

What are three names for the angle?

Angle 1, m, LMN

Find the center of the circle that you can circumscribe about EFG with E (4,4), F(4,2), and G (8,2)

a. (6,3)

Find the coordinates of the midpoint of the segment whose endpoints are H (8,2) and K (6,10)

a. (7,6)

Find the perimeter of ABC with vertices A(-5,-2), B(-2,-2), and C(-5,2)

a. 12 units

M is the midpoint of CF for the points C(3,4) and F(9,8). Find MF

a. 13

Identify the hypothesis and conclusion of this conditional statement: If two lines intersect at right angles, then the two lines are perpendicular

b. Hypothesis: Two lines intersect at right angles. Conclusion: Two lines intersect at right angles

Which statement is an example of the Addition Property of Equality?

b. If p = q then p + s = q + s

Use the Law of Detachment to draw a conclusion from the two given statements. If two angles are congruent, then they have equal measures.

b. m P = m Q

How are the two angles related?

b. supplementary

Find the values of x and y. The diagram is not to scale

b. x = 77, y = 57

Given ABC = PQR, m B = 3y + 4

c. 10

Find a counter example to show that the conjecture is false. Conjecture: Any number that is divisible by 4 is also divisible by 8

c. 12

In ABC, centroid D is on median AM . SD = x + 4 and DM = 2x -4. Find AM.

c. 12

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

c. 135

The two triangles are congruent as suggested by their appearance. Find the value of c. The diagrams are not to scale

c. 3

Substitution Property of Equality

c. 8x + 3 = 12

Transitive Property of Congruence

c. CD = GH

Which statement can you conclude is true from the given information

c. IJ = JK

What is the converse of the following conditional? If a point is in the first quadrant, then it's coordinates are positive

c. If the coordinates of a point are positive, then the point is not in the first quadrant

Given: m PQR = x - 5, m SQR = x - 11, and m PQS = 100

c. simplify

MO bisects LMN, m LMO = 8x - 23, and m NMO = 2x + 37. Solve for x and find m LMN. The diagram is not to scale

c. x= 10, m LMN = 114

M(9,8) is the endpoint of RS. The coordinates of S are (10,10). What are the coordinates of R?

d. (8,6)

Find the distance between points P (8,2) and Q (3,8) to the nearest tenth

d. 14.9

BD bisects ABC. m ABC = 7x. m ABD = 3x + 25. Find m DBC

d. 175

m 1 = 6x and m 3 = 120. Find the value of x for p to be parallel to q. The diagram is not to scale

d. 20

Which the lengths can NOT be the lengths of the sides of a triangle?

d. 21 m, 6 m, 10 m

Based on the pattern, what are the next two terms of the sequence?

d. 33,39

DF bisects EDG. find the value of X.

d. 6

Name the smallest angle of ABC. The diagram is not to scale

d. B

DFG and JKL are complementary angles. m DFG = x + 5 , and m JKL = x-9. Find the measure of each angle.

d. DFG = 52, JKL = 38

For the following true conditional statement, write the converse. write the converse. If the converse. If the converse is also true, combine the statements as the bioconditional.

d. If x = 9, then x = 3. False

ABC = ?

d. MNP

Name the Property of Equality that justifies the statement:

d. Subtraction Property