Distance
Midpoints and Bisectors
Line Segments
Conjectures and Counterexamples
Statements Conditionals and Biconditionals
100

The distance between two points is the length of the
segment between the points. True or False?

True

100

Find the measure of RS if S is the midpoint of RT.

A. 56        B. 58        C. 112       D. 116

B. 58

100

Find the measure of QR. PR = 13 3/4 ft, PQ = 6 5/8 ft.

QR = 7 1/8 ft

100

The sum of two odd numbers is always an _____ number.

even

100

A ______ is the conjunction of a
conditional and its converse.

biconditional statement

200

what is the distance between A(5, 0) and B(8, 0)?

3 units

200

What is the midpoint of AF? If A = -5 and F = 7

1

200

A line segment is a measurable part of a line that
consists of two points, called endpoints, and all of the
points between them. TRUE or FALSE?

True

200

1/2, 1, 2, 4, ...

The next number in the sequence is __.

8
200

A compound statement using the word or is called a ___.

disjunction

300

What is the distance between -35 and 21 on a number line?

56 units

300

Find the coordinates of Q if R(6,-1) is the midpoint of QS and S has coordinates (12,4)

(0,-6)

300

Find the measure of XZ. XY = 11.3cm, YZ = 3.8cm

15.1cm

300

1/2, 1, 2, 4, ...
The next number in the sequence is ___ the preceding number.



2 times.

300

The ____ is formed by exchanging the
hypothesis and conclusion of the conditional.

converse

400

INCLINE Chelsea and Amie are sitting in separate cars
on the Monongahela Incline. Chelsea is traveling up
Mount Washington and Amie is traveling down. When
the two girls notice each other, Chelsea has a horizontal distance of 212.0 feet from the lower station and is at a height of 151.6 feet. Amie has a horizontal distance of 435.3 feet from the lower station and is at a height of 311.3 feet. What is the distance between the two girls?



274.5 feet

400

Find the coordinates of B, the midpoint of AC, for A(-3,-2) and C(5,10)

(1,4)

400

Find the measurement of DF if DE = 2 7/10in. and EF = 5 9/10in.  

DF = 8 3/5in.

400

Make a conjecture about the relationship between AD and AB, if C is the midpoint of AB and D is the midpoint of AC.

AD is ____ of AB.

AD is one fourth of AB.

400

What is a compound statement that
consists of a premise, or hypothesis, and a conclusion,
which is false only when its premise is true and its
conclusion is false?


conditional statement

500

SNOWBOARDING Manuel wants to go snowboarding with his friend. The closest ski and snowboard resort is approximately 20 miles west and 50 miles north of his house. Manuel picks up his friend who lives 15 miles south and 10 miles east of Manuel’s house. How far away are the two boys from the resort?

71.6 miles

500

DISTANCE Jorge travels from his school on 38th Street to the library on 62nd Street. He stops halfway there to take a break. Where does Jorge stop to rest?

Jorge stops at 50th Street

500

Find the value of x if U is between T and V, TU = 7x +35, UV = 4(x+7), and TU congruent UV.

x = - 7/3

500

The intensity of a sound to the human ear is measured in A-weighted decibels, or dBA. For every 3 decibels over 85 decibels, the exposure time it takes to cause hearing damage is cut in half. How long does it take to cause hearing damage at 106 decibels? answer will be a decimal.

3.75 minutes

500

Determine whether the biconditional is true or false. If false, give a counterexample.

x >− 2, if and only if x is positive.

The biconditional is ____ because _____.


The biconditional is false, because x = −1 is a counterexample.

M
e
n
u