Review Day 2

Rigid Transformations

Take notes.

Multiple Choice

Translations, rotations, and reflections are three different types of what?

• Transformations
• Geometry
• Vectors
• Shapes

Multiple Choice

A turn is also called a ___________.

• Translation
• Reflection
• Rotation
• Transformation

Multiple Choice

A slide is also called a _________.

• Translation
• Reflection
• Rotation
• Transformation

Multiple Choice

A flip is also called a _________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

Congruent means...

• The same angles.
• The same size and same shape.
• Equal to.
• The same transformation.

Multiple Choice

Describe the transformation in the image.

• Translation

• Reflection

• Rotation

Multiple Choice

The original figure prior to a transformation.

• Pre-image
• Image

Multiple Choice

The result of a transformation.

• Pre-image
• Image

Using Angle Relationships

• Identify what type of angles are being shown.

• Determine what the relationship is (add to 180, add to 90, equal, etc.)

• Set up an equation using the relationship.

• Solve for the unknown.

Vertical Angles

Two angles that are across from each other at the same vertex (or point). These angles are always congruent (meaning equal).

Complementary Angles

Two angles that are side by side and that together form a right angle. These angles always add up to equal 90.

Note: The right angle must be marked with a box.

Multiple Choice

Angle 1 = 27^o
Find the measure of angle 4

• 27^o
• 153^o
• 63^o
• 90^o

Multiple Choice

What it the measurement for angle 9?

• 140^o

• 180^o

• 40^o

• 160^o

Multiple Choice

What it the measurement for angle 1?

• 140^o

• 180^o

• 40^o

• 160^o

Multiple Choice

Classify angles 1 and 2

• corresponding angles

• alternate exterior algles

• vertical angles

• alternate interior angles

• supplementary angles

Multiple Choice

Classify angles 3 and 7

• corresponding angles

• alternate exterior algles

• vertical angles

• alternate interior angles

• supplementary angles

Multiple Choice

Find the value of x

• -5
• 28
• 19
• -3

Vocabulary
Word Wall

supplementary angles: two angles that sum to 180o

30o + 150o= 180o→∠FGJ and ∠JGH are supplementary angles!

vertical angles: opposite, angles made by 2 intersecting lines

30o= 30o→∠JGF and ∠HGI are vertical angles! They are equal in size...

Multiple Choice

Supplementary angles add up to...

• $$90\degree$$  

• $$180\degree$$  

transversal

(or transversal line)

A transversal for a pair of
parallel lines is…
a line that meets each
of the parallel lines at
exactly one point

Line k is a transversal for
parallel lines l and m.

alternate

interior angles

two interior angles that
lie on opposite sides of
the transversal. They are

equal in measurement...​

In the figure, a and d are
alternate interior angles, and
b and c are, as well!

Multiple Select

Name a pair of vertical angles... SELECT ALL THAT APPLY...

• b and c

• b and d

• c and a

• e and g

• $$60\degree$$  and f

Multiple Choice

Name another pair of Alternate Interior Angles...

• $$60\degree$$  and g

• $$60\degree$$  and c

• $$60\degree$$  and f

• $$60\degree$$  and a

Multiple Choice

Find D

• ∠D=116°
• ∠D=64°
• ∠D=180°
• ∠D=26°

Multiple Choice

Which angle is a vertical angle to with $$\angle7$$  ?

• $$\angle1$$  

• $$\angle5$$  

• $$\angle3$$  

• $$\angle6$$  

• $$\angle9$$  

Angle Sum of a Triangle

• The sum of the measures of the interior angles of a triangle is 180^o.

• <1 + <2 + <3 = 180

Multiple Choice

Find the missing angle x.

• 145^o

• 90^o

• 35⁰

• 180^o

Please copy this into your notes!

Multiple Choice

In a triangle, how many total degrees are there?

• 100%
• 180 degrees
• it varies
• 360 degrees

Multiple Choice

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

• 45°, 65°, 70°

• 150°, 110°, 100°

• 50°, 50°, 50°

• 90°, 90°, 90°

Multiple Choice

Find the measure of the indicated angle.

• 95

• 85

• 35

• 45

Multiple Choice

Which of the following terms best describes Angle d?

• Remote interior angle

• Corresponding angle

• Exterior angle

• Interior angle

Multiple Choice

Which of the following terms best describes Angle d?

• Remote interior angle

• Corresponding angle

• Exterior angle

• Interior angle

Multiple Choice

Find the measure of angle x. Be careful! They did NOT give you two remote interior angles.

• 138

• 96

• 93

• 87

Similar

"Similar" in math means that two objects have the exact same proportion but may not be the same size. This symbol ~ means similar.

​

PS--Don't forget to take notes as you go through this lesson!​

​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

If two figures are similar,

then the angles are _________________.

• proportional

• congruent

• complementary

• supplementary

Multiple Choice

State if the two triangles are similar by AA.

• Similar by AA

• Not Similar

Multiple Choice

State if the two triangles are similar by AA.

• Not Similar

• Similar but not by AA

• Similar by AA

Multiple Choice

State if the two triangles are similar by AA.

• Not Similar

• Similar but not by AA.

• Similar by AA

Multiple Choice

Sides in similar figures must be __________.  

• Proportional

• Congruent

• Opposite Reciprocals

• Parallel

Multiple Choice

State if the triangles are similar by SSS.

• Similar but not SSS

• Not Similar

• Yes, by SSS

Multiple Choice

State if the triangles are similar by SSS.

• Yes, SSS Similarity

• Similiar but not SSS

• Not Similar

Multiple Choice

State if the triangles are similar by SAS.

• Similar but not SAS

• Yes, SAS Similarity

• Not similar.

Multiple Choice

State if the triangles are similar by SAS.

• Yes, SAS Similarity

• Similar but not SAS

• Not Similar

Multiple Choice

State if the triangles are similar by SAS.

• Yes, SAS Similarity

• Similar but not SAS

• Not Similar

Multiple Choice

State if the triangles are similar by SAS.

• Similar but not SAS

• Yes, SAS Similarity

• Not Similar

Multiple Choice

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Multiple Choice

State if the two triangles are similar and the rule that applies.

• Not Similar

• Similar by SAS

• Similar by AA

• Similar by SSS

Multiple Choice

State if the two triangles are similar and the rule that applies.

• Not Similar

• Similar by SAS

• Similar by AA

• Similar by SSS