Geometry Final Exam Review

27

m(arc DE)= 103 m(arc BC)= 49 Find measurement of angle A

noncollinear

Are points C, G, and H collinear or noncollinear?

4

Find the value of x.

391.6m

Find the value of x. Round the length to the nearest tenth. (triangle with 50 degrees)

JK, LK, LJ

List the sides in order from shortest to longest. The diagram is not to scale.

20 ft

Michele wanted to make sure the height of her schools flagpole. She laced a mirror on the ground 48 ft from the flagpole, then walked backwards until she was able to see the top of the pole on the mirror. Her eyes were 5 ft above the ground and she was 12 ft from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot.

x=12, measurement angle LMN= 112

Mo bisects LMN and LMO = 7x-28, and NMO=sx+32. Solve for x and find the measurement of LMN. The diagram in not draw to scale.

VW and plane VWY

Name the line and plane shown in the diagram

NP

Name the that is opposite of NM

ASA; CPCTC

Supply the missing reasons to complete the roof. Given: angle Q is congruent to angle T QR is congruent to TR Prove: PR is congruent so SR

(4,11)

Find the coordinates of the midoint of the segment whose endpoints are H(5,10) and K(3,12)

4.1

Find the ditance between points P(5,4) and Q(1,5) to the nearest tenth.

4 radical 7

Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale.

8 radical 2

Find the length of the leg. If your answer is not an integer, leave it in simplest form.

3 radical 29 cm

Find the length of the missing side. Leave your answer in simplest radical form.

7

Find the length of the missing side. The triangle is not drawn to scale.

x=112 y=52

Find the missing values of the variables. The diagram is not scale

540

Find the sum of the measures of the angles of the figures

1257 inches sqaured

Find the surface area of the cylinder to the nearest whole number

105 feet squared

Find the surface area of the pyramid shown to the nearest whole number.

71

Find the value of K. the diagram is not to scale

32

Find the value of h in the parallelogram

x=20 radical 3 y=40

Find the value of the variable(s). If your answer is not an integer, leave it in simplest form.

15.2

Find the value of x. Round to the nearest degree (triangle with 38 degrees)

30

Find the value of x. Round to the nearest degree. (triangle with x degrees)

58

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

68

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

8.4

Find the value of x. round your answer to the nearest tenth. (triangle with 40 degrees)

x=28 y=54 z=98

Find the values of the variable in the parallelogram. The diagram is not to scale

3

Find the values of variable if m II l, measurement angle 1= 5x+44 and measurement angle 5= 7x+38

x=56, y=31

Find the values of x and y

x=90 y=37

Find the values of x and y

x=76 y=61 z=104

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

1442 yards cubed

Find the volume of the cone shown as a decimal rounded to the nearest tenth

952 ft cubed

Find the volume of the given prism. Round the nearest tenth if necessary.

1018 milometers sqaured

Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit

15.4

Find x to the nearest tenth

x=7 NM=30 OL=30

LMNO is a parallelogram. If NM=x+23 and OL=3x+9, find the value of x and then find NM and OL.

6

Solve for x

(-3,2)

Write the sum of the two vectors as an ordered pair (-2,7) and (-1,-5)

138

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

x=12, DF=18, EG=18

DEFG is a rectangle. DF= 2x-6 and EG= x+6. Find the value of x and the length of each diagonal.

angle 1=58, angle 2=122

angle 1 & angle 2 are supplementary angles. measurement angle 1= x-33 measurement angle 2= x+97

(3/2, 1/2)

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

TX

What is the intersection of plane STXW and plane TUYX?

about 18 miles at 29 degrees South of West

A glider lands 16 miles west and 9 miles sotuh from where it took off. The results of the trip can be described by the vector (-16, -9). Use distance for magnitude and direction to describe this vector a second way

right

A triangle has side lengths of 10 cm, 24 cm, and 26 cm. Classify it as acute, abuse, or right.

70

Assume that the lines appear to be tangent are tangent. O is the center of the circle. Find the value of x. Figures are not to square

octogon

Classify the polygon by its sides

equilaterial

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

acute

Classify triangle ABC by its angles, when angle A=33, angle B=88, and angle C=59

7

DF biscets angle EDG. Find the value of x. The diagram is not to scale.

(-5.9, -1)

Describe the vector as an ordered pair. Give the coordinates to the nearest tenth.

12

Find BD

21

Find geometric mean of the pair of numbers 49 & 9

48.5

Find the Value of x for m(arc AD)= 48 and m(arc CD)= 49

749.7 meters squared

Find the area of a regular hexagon with an apothegm 14.7 meters long and a side 17 meters long. Round yours answer to the nearest tenth.

84.3 cm sqaured

Find the area of the regular polygon. Give the answer to the nearest tenth. Pentagon with side 7 cm

116.5 ft

Find the area of the regular polygon. Give the answer to the nearest tenth. Pentagon with side 7 ft

32 meters Squared

Find the area of the rhombus

153

For the parallelogram, if measurement of angle 2= 4x-17 and measurement of angle 4= 3x-6, find measurement of angle a. The diagram is not to scale.

angle measure 1=60 angle measure 2=30 angle measure 3=60

Given the regular hexagon, fond the measure of each numbered angle

31

Given triagnle QRS= triangle TV, Qs=4v+3, and TV=5v-4, find the length of QS and TV.

9

Given: PQ is parallel to BC. Find the length of AQ. The diagram is not drawn to scale.

18 sides

How many sides does a regular polygon have if each exterior angle measures 20

OR

If BCDE is congruent to OPQR, then BE is congruent to_____________

x=7, EF=11, FG=15

If EF=3x-10, FG=4x-13, and EG=26, find the values of x, EF, and FG. The drawing is not to scale

x=32, ST=96

If T is the midpoint of SU, find the values of x and ST. The diagram is not to scale

120 degrees

If the figure had rotational symmetry, find the angle of rotation about the center that results in an image that matched the original figure

BG= 3 GE= 6

In triangle ACE, G is the centroid and BE=9. Find the BG and GE.

Reflexive Property of ~=SSS

Justify the last two steps of the proof. Given: MN congruent to PO MO congruent to PN Prove: Triangle MNO is congruent to triangle PON

3.5

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

40/3

Solve the properties. 3y-8/12= y/5

reflection symmetry

Tell whether the three dimensional object has rotational symmetry about a line and/or reflection symmetry in a plane

1/2

The dashed triangle is a dilation image of a solid triangle. What is the scale factor.

4 : 7 and 16 : 49

The figures are similar. Give the ratio of perimeters and the ratio of the areas of the first figure to the second. The figure are not drawn to scale.

76 ft squared

The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. The area of the larger triangle is 210 ft sqaured

60 degrees

The hexagon GIKMPR and triangle FJN are regular. The dashed line segments form 30 degree angle. Find the angle of rotation about O that maps N to L

OF

The hexagon GIKMPR and triangle FJN are regular. The dashed line segments form 30 degree angle. Find the image of OQ after a rotation of 300 about point O

yes, by AA~

The polygons are similar but not necessarily drawn to scale. Find the value of the variables Are the triangles similar? If so, explain.

x=13 y=4

The polygons are similar but not necessarily drawn to scale. Find the value of the variables. The pentagons are similar. Find the variables

P' (8,5) Q' (7,1) R' (4,-3)

The vertices of a triangle are P(-8,5), Q(-7,1) and R(-4,3). Name the vertices of the image reflected in the y-axis.

alternate interior angle

This diagram of airport runway intersection shows two parallel runways. A taxi crosses both runways How are angle 6 and angle 3

5 < x< 21

Two sides of a triangle have lengths 8 and 13. Which inequalities represent the possible lengths for the third side, x.

(-3,-3)

Use an ordered pair to describe the translation that is 3 units to the left and 3 units down

38 West of North

Use compass directions to describe the direction of the water

36 degrees

Use the information in the figure. Find measurement angle D

214

WZ and XR are diameters. Find the measure of arc ZWX