3x 4x 15 x 9 5x solve for x. 8 - wmhs geometry

ANSWERS Geometry Semester 1 Exam Review 1617.notebook

1

January 12, 2017

c.) Name a pair of opposite rays.

Solve for x.

x

Solve for x.8

9 x

Solve for x.

3x4x 15

5x

C

D

E


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January 12, 2017


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January 12, 2017

m

n

a b

cd e

Given m // n

If a = b and d = 32, what is c?

If d = 40 and e = 55, what is a?

If b = 62, what is c?

If d = 28 and a = 81, what is c?

A

B C

D

Using the figure at left: If m ABC = 52 , m ABD = x + 18, and m DBC = 3x 22, what is the value of x? What is m ABD?

Different question also using the figure at left: If, instead, BD bisects ABC, m ABD = 4x + 16, and m DBC = 5x 12, what is x? What is m DBC?

Prove a + b + c = 180a

c

b


4

January 12, 2017

1. Name a pair of vertical angles.

2. Name a pair of corresponding angles.

3. Name a pair of alternate interior angles.

4. Name a pair of same side interior angles.

5. Name a set of angles that adds up to be 180o.

6. Name a set of angles that adds up to be 360o.

7. 8.

9.

Name an angle supplementary to HZJ

Name an angle complementary to HZJ

12.

13.

If A and B are supplementary, and m A is 58 , what is m B?

If A and B are complementary, and m A is 58 , what is m B?

Solve for x and y.56

2y

64x


5

January 12, 2017

Find the value of the variables. Provide reasons for your answers

14. 15.

16. 17.

18. 19.

20. 21.22.


6

January 12, 2017

State the third congruence (missing piece of information) that is needed to prove ΔJKL ≅ Δ STU by the given congruence criteria.


7

January 12, 2017

1) What information is needed to do a rotation?

2) What information is needed to do a reflection?

3) What information is needed for a translation?

4) What is a composition of Transformations?

5) What does it mean to be perpendicular? Draw a pair of perpendicular lines. What on the picture indicates that they are perpendicular?

6) What does it mean to be collinear? Draw three collinear points. What on the picture indicates that they are collinear?

7) What does it mean to be coplanar? Draw three coplanar points. What on the picture indicates that they are coplanar?

8) What does it mean to be a bisector? Draw a segment bisector. Draw an angle bisector. What on the picture indicates that it was a bisector?

Name:

J

K

A

BC

Translate triangle ABC by vector JK

9)

Indicate a vector that describes this translation.

10)A

B

C

B'

A' C'

Angle (degree measure), direction, center

a line of refection

direction and distance (both given by a vector)

doing more than 1 transformation in a row

intersecting at a right angle

lying along the same line

lying in the same plane

ray/point/line/etc that cuts something into two equal pieces

A

BC

CC'


8

January 12, 2017

a. b. c.

Draw in the lines of symmetry for each figure andIdentify all rotational symmetries (in degrees) for each figure

f.e.d.

A

B

C

A'

B'

C'

F

13) Label the image and preimage.

Identify the angle and direction of rotation as well as the center of rotation.

A

BC

n

Reflect triangle ABC over line n.

a b

c

If a = 80, what do b and c equal?

If b = 80, what do a and c equal?

If c = 80, what do a and b equal?

a bc

d

If a = 30 and b = 75, what are c and d?

If a = 40 and d = 60, what are b and c?

If c = 15 and b = 80, what are a and d?

What is the image of triangle GRE if it is reflected over RE then translated along vector RT?

What is the image of triangle GRE if it is translated along vector GO then reflected across TO?

How do you find a scale factor for a dilation?

In a dilation, corresponding angles are _______ and corresponding sides are _______________

Dilate the figure with center O and scale factor 0.5.

O

B' C'

A'

77 degrees, Counter clockwise, center FOR283 degrees, Clockwise, center F

180, 360 36090, 180, 270, 360

180, 360

72, 144, 216, 288, 360 Pre

Image

60, 120, 180, 240, 300, 360


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January 12, 2017

b


10

January 12, 2017

a bc

dIf a = 30 and b = 75, what are c and d?

If a = 40 and d = 60, what are b and c?

If c = 15 and b = 80, what are a and d?

a bc

d

a bc

d

3x 4x 15 x 9 5x solve for x. 8 - wmhs geometry

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