Mixed Review

Extra Credit Points: AD Geometry - For every question

correct on the DA you will receive one major grade extra credit point!

Pre-AP Geometry – For every question you get correct you will receive half a major grade extra credit point (rounded up). If you get all 17 correct you will get 9 points added to a major grade that will benefit you the most.

G.2B - 4 Questions Make a conjecture about angles, lines, Make a conjecture about angles, lines,

polygonspolygons, circle, and three dimentional figures and determine the validity of the determine the validity of the conjecturesconjectures, choosing from a variety of choosing from a variety of approachesapproaches such as coordinate, coordinate, transformationaltransformational, or axiomatic.

A Conjecture A conclusion you reach by inductive

reasoning (reasoning based on an observed pattern)

TEKS G.2B Question 1The figure below was formed by joining 2 segments of equal length at a common endpoint Y.

X

Y

Z..

.If the points X, Y, and Z are non-collinear, which of the following statements regarding XZ must always be true. A. XZ = XY B. XZ =

2(XY)

C. XZ > 2(XY) D. XZ < 2(XY)

TEKS G.2B Question 2Look at the diagram below. What conclusion can be drawnabout   YQX and WQZ

A. They are congruent

B. They are adjacent

C. They are supplementary

D. No conclusion can be drawn

... .

.

X

YW

Q

Z

TEKS G.2B Question 3In the diagram, lines m and n are parallel.

A. 1 and 2 are complementary

B. 1 is congruent to 5 C. 2 and 8 are supplementary

D. 4 is congruent to 5

n

m21

6

34

8 7

5

TEKS G.2B Question 4

Classify the triangle formed by connecting the following three points: ( 0, 7), ( 4, 7), ( 2, 3).

Justify your answer using coordinate geometry.

A. Scalene

B. Isosceles

C. Equilateral 

G.3C - 4 Questions Use logical reasoning to prove Use logical reasoning to prove

statements are true and find counter statements are true and find counter examples to disprove statements that examples to disprove statements that are false.are false.

TEKS G.3C Question 1Which of these statements is a counter example for the statement “The area is always greater than the perimeter of a rectangle”

A. The area of a rectangle with dimensions 2 units by 3 units is less than the perimeter of the same rectangle.

B. The area of a rectangle with dimensions 4 units by 6 units is greater than the perimeter of the same rectangle.

TEKS G.3C Question 2Which of the following is a counter example for the statement:

“ If two lines are perpendicular to the same line, then they are always parallel to each other.”

I. If two lines are perpendicular to the same line, they are skew to each other.

II. If two lines are perpendicular to the same line, they are perpendicular to each other.

A. I only

B. II only

C. Both I and II

TEKS G.3C Question 3

Reggie claimed that any number that is divisible by 3 is also divisible by 6. Which of the following examples disproves Reggie’s claim?

A. 12

B. 30

C. 24

D. 27

TEKS G.3C Question 4

Find a counter example for the conjecture “the square of any number is greater than the original number”

A. -4

B. 4

C. -1

D. 1

G.7B - 4 Questions Use slopes and equations of lines to Use slopes and equations of lines to

investigate geometric relationships, investigate geometric relationships, including parallel lines, perpendicular including parallel lines, perpendicular lineslines, and special segments of triangles and other polygons.

TEKS G.7B Question 1RG is graphed on the coordinategrid to the right .

Which of the following equations best represents the perpendicular bisect of RG ?

TEKS G.7B Question 2Which equation represents a line parallel to AB?

. 3 5

1. 5

21

. 521

. 52

a y x

b y x

c y x

d y x

TEKS G.7B Question 3Which of the following best describes the graph of the equations below?

4 2

4 2 1

y x

y x

A. Same x-intercept

B. Same y-intercept

C. The lines are parallel

D. The lines are perpendicular

TEKS G.7B Question 4A line contains the points ( 1, -3 ) and ( 2, 2 ). Which of the following pairs of points determine a line perpendicular?

A. ( 0, 0 ) and ( -1, 5 )

B. ( 0, 0 ) and ( 1, 5 )

C. ( 1, 3 ) and ( 6, 2 )

D. ( -4, 0 ) and ( 5, 5 )

G.7C - 5 Questions

Derive and use formulas involving Derive and use formulas involving length, slope, and midpointlength, slope, and midpoint.

TEKS G.7C Question 1A coordinate grid is placed over a map. City A is located at ( -3, 2 ) and City B is located at ( 4, 8 ). If City C is at the midpoint between City A and City B, which is closest to the distance in coordinate units from City A to City C?

A. 4.61 B. 6.52

C. 9.22 D. 21.26

TEKS G.7C Question 2Which best represents the length of the shortest side of the triangle EHS?

A. 5.5 B. 5.8C. 6.0 D. 6.3

S

HE

TEKS G.7C Question 3

What is the length of the larger

base on the trapezoid?

A. 3.6 B. 10.8

C. 4.5 D. 4

TEKS G.7C Question 4

What is the midpoint of FB?

A. ( 1, 1) B. ( -1, 1)

C. ( 1, - 1) D. ( -1, -1)

A

B

C FE

D

TEKS G.7C Question 5Which segments have the same slope?

A. 3 and 2 only B. 1 and 5 onlyC. 4 and 5 and 3 only D. 5 and 1 and 4 only

A

B

C FE

D

1. BE 2. FE 3. BA 4. AF 5. CD