Geometry Final Review Lesson

Geometry Final Review

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Skill #1: Basics

Points/Lines/Planes

Multiple Choice

Which is a line?

Multiple Choice

What is a ray?

• Part of a line with 2 endpoints

• Part of a line with 1 end point and goes on forever

• Part of a line with 0 endpoints

• Part of a line with 5 endpoints

• A line that has 2 points and extends forever

Multiple Select

Give another name for line k.

• Line BC

• Line BEF

• Line ED

• Line EC

• Line BE

Multiple Choice

What is a ray?

• Part of a line with 2 endpoints

• Part of a line with 1 end point and goes on forever

• Part of a line with 0 endpoints

• Part of a line with 5 endpoints

• A line that has 2 points and extends forever

Skill #2: Angle Basics

Supplementary/Complementary/Vertical Angles

Multiple Choice

If m∠SQR = (2x + 6)°, m∠PQR = (10x - 5)° and m∠SQP = 61°. Find m∠SQR and m∠PQR.

• m∠SQR=45° and m∠PQR=16°

• m∠SQR=10° and m∠PQR=51°

• m∠SQR=51° and m∠PQR=10°

• m∠SQR=16° and m∠PQR=45°

Multiple Choice

Find the value of x and y.

• x = 10, y = 20

• x = 28, y = 152

• x = 28, y = 128

• x = 20, y = 20

• x = 30.67, y = 14.1

Multiple Choice

Solve for x

• 19

• 6

• 38

• 32

Skill #3 Parallel Lines

Naming the Angles

Skill #3: Parallel Lines

Solving Angle Problems

Multiple Choice

What type of angle pair is ∠1 and ∠5?

• alternate interior angles
• corresponding angles
• alternate exterior angles
• vertical angels. 

Multiple Choice

What type of angle pair is ∠1 and ∠3?

• alternate interior angles
•  supplementary angles
• corresponding angles
• vertical angles 

Multiple Choice

Which of the following statements is correct?

• The lines are parallel because the angles are equal.

• The lines are parallel because the angles are supplementary

• The lines are not parallel because the angles are not equal

• The lines are not parallel because the angles are not supplementary

Multiple Choice

Find the value of x.

• 10

• 29

• 23

• 35

Skill #4 Triangle Basics

Information on Triangles

Multiple Choice

Solve for x.

• 9
• 15
• 11
• 3

Multiple Choice

What is the measure of the exterior angle?

• 9

• 52

• 28

• 15

Multiple Choice

Find the values of x and y.

• x = 30, y = 120

• x = 120, y = 60

• x = 60, y = 60

• x = 120, y = 30

• x = 60, y = 120

Multiple Choice

Find x.

• x = 118
• x = 31
• x = 23
• x = 62

Skill #5 Quadrilaterals

Solving and Defining

Multiple Choice

What is the sum of a Quadrilaterals interior angles?

• 180

• 360

• 400

• 240

Multiple Choice

Find the missing angle.

• 65°

• 85°

• 75°

• 70°

Multiple Choice

Based on the information given, which of the following would prove that quadrilateral ABCD a parallelogram.

• $AB\cong CD$

• $AD\cong BC$

• $AB\cong CD\ and\ AD\cong BC$

• $\angle A\cong\angle C\ and\ \angle B\cong\angle D$

Multiple Choice

The figure is a parallelogram.

Solve for x.

• 7

• 2

• 0

• 4

Multiple Choice

The figure is a parallelogram.  
Solve for x.  

• 1
• 10
• 4
• 5

Skill #6: Polygons

Naming and Finding Angles

Multiple Choice

6 sided shape

• Octagon

• Hexagon

• Heptagon

• Decagon

• Pentagon

Multiple Choice

Find the value of X

• 94

• 25

• 36

• 180

Multiple Choice

Find the value of y.

• 125

• 135

• 140

• 110

Skill #7: Constructions

• Construction Basics: Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

• Video Links: https://docs.google.com/document/d/19XLrLMyNqOCmME9IQQvYIjNMVFEhoczhtHCHxAF4ZyU/edit?usp=sharing

Skill #7 Constructions

• Complex Constructions: Constructing an Equilateral Triangle

  Constructing an Isosceles Triangle

  Constructing a Square

  Constructing a Regular Hexagon Inscribed in a Circle

  Constructing an Inscribed Square

  
  

• Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

Multiple Choice

The drawing shows a compass and straight edge construction of...what?

• the bisector of a given angle

• a perpendicular to a given line at a point on the line

• a perpendicular to a given line from a point NOT on the line

• an angle congruent to a given angle

Multiple Choice

What type of construction do you see?

• midpoint

• angle bisector

• perpendicular bisector

• altitude

Multiple Choice

In the image, line RS is _______ to line JQ.

• parallel

• congruent

• similar

• perpendicular

Multiple Choice

What is being constructed in the figure?

• the perpendicular bisector of line m

• the line perpendicular to line m through a point on the line

• the line parallel to line m through a point NOT on the line

• an angle that has line m as its bisector

Multiple Choice

What kind of construction is displayed in this picture?

• A circle inscribed in a hexagon

• A hexagon inscribed in a circle

• A hexagon

• A circle

Skill #8 Transformation

Translations, Reflection, Rotations, Dilations:

Multiple Choice

What is the degree of rotational symmetry of the figure?

• $30\degree$

• $60\degree$

• $72\degree$

• $120\degree$

Multiple Choice

Identify the transformation from ABCD to A'B'C'D'.

• Translation (x-7,y)

• Reflection across the y-axis

• Reflection across the x-axis

• 90^o counter clockwise Rotation

• Translation (x+7,y)

Multiple Choice

Enlargement or reduction? Find the scale factor!

• It's a reduction; the scale factor is 2.

• It's an enlargement; the scale factor is 2.

• It's an enlargement; the scale factor is 1/2.

• It's a reduction; the scale factor is 1/2.

Multiple Choice

Choose the correct transformations

• rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

• right 1, down 4, and then reflection over the y-axis

• right 6, and then reflection over the x-axis

• reflection over the line y=x, and then translate up 4, right 2

• reflect over the x-axis, and then left 6

Multiple Choice

Describe the compostions of transformations.

• First the triangle was rotated 180° about the origin, then reflected over the x-axis.

• First the triangle was reflected over the y-axis, then rotated 90° about the origin.

• First the triangle was translated (x-5,y), then reflected over the x-axis.

• First the triangle was reflected over the y-axis, then reflected over the x-axis.

• First the triangle was rotated 90° counterclockwise about the origin, then reflected over the x-axis.

Multiple Select

Which of the following transformation will map the regular pentagon onto itself, choose ALL that apply?

• x axis reflection

• y axis reflection

• 90 degree rotation

• 180 degree rotation

• 72 degree rotation around the origin

Multiple Choice

Which transformation or set of transformations will map a point (x,y) onto the point (2x+1, 2y)

• a dilation with a scale factor of 2 through the origin followed by a translation of right 1 unit

• a dilation with a scale factor of 2 through the origin followed by a translation of up 1 unit

• a dilation of scale factor 2 through the point (1,0)

• a dilation of scale factor 2 through the point (0,1)

• a dilation of scale factor 1 through the point (2,2)