Geometry Lessons

Geometry
Unit 1 Review

Learning Target (8/12)

​Defined and Undefined Terms

1. I am able to describe, draw, and notate basic defined and undefined geometry terms.

2. I am able to accurately name basic geometry terms. 

Defined and Undefined Terms

Defined and Undefined Terms

Defined and Undefined Terms

Defined and Undefined Terms

​

Plane
- Collinear Points D, G, F and I, G, J
- Three non-collinear points which describe Plan P are: DGH or GHF

Multiple Choice

Which of the following is a point on Plane P?

• K

• I

• J

• H

Multiple Choice

Are Rays DF and FD the same?

• Yes

• No - they are pointing in opposite directions.

• DF and FD are not rays.

Multiple Choice

Which of the following accurately displays opposite rays on Plane P?

• GD and GF

• DG and GI

• HD and GD

• HG and GF

Multiple Choice

Which of the following accurately displays three collinear points?

• DGI

• DGF

• DGH

• IGK

Multiple Choice

Which of the following is not a valid name for the displayed Plane?

• P

• DGH

• GFH

• DGF

Learning Target (8/14)

Line Segments

1. I am able to find the length of line segments.

Ruler Postulate

Multiple Choice

What is the distance between A and B?

• -9

• -7

• 2

• 9

Segment Addition

Multiple Choice

Point S is between R and T on a line segment. Please find RS if: RT = 54; RS = 6x - 12; and ST = 3x + 3.

• 7

• 24

• 30

• 54

Learning Target (8/16)

Angles

1. I am able to recognize and name standard angle dimensions.

2. I am able to measure the dimensions of angles.

Standard Angle Dimensions

Multiple Choice

What is the dimension of the angle formed by AOB?

• 0 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Protractor Postulate

Multiple Choice

What is the measure of angle COD?

• 40 degrees

• 50 degrees

• 60 degrees

• 70 degrees

Angle Addition Postulate

Multiple Choice

Solve for x if the measure of angle RQT = 88 degrees.

• 0

• 6

• 9

• 12

Learning Target (8/20)

Midpoint Formula

1. I am able to find the midpoint between two points.

2. I am able to find the endpoint given another endpoint and midpoint.

Midpoint Formula

Multiple Choice

The coordinates of two endpoints A and C are (-5, 11) and (-3, 3). Please use the midpoint formula to find the midpoint of segment AC.

• (-8, 14)

• (-4, 7)

• (-4, -7)

• (-2, 8)

Multiple Choice

Please find endpoint B of the displayed line segment if A is at (2, 2) and the midpoint (M) is at (10, 8).

• (8, 6)

• (8, 7)

• (18, 14)

• (16, 13)

Learning Target (8/22)

Distance Formula

1. I am able to find the distance between two points using the distance formula.

Distance Formula

Multiple Choice

The coordinates of two endpoints A and C are (-5, 11) and (-3, 3). Please use the distance formula to find the length of segment AC.

• 4√2
• √34
• 2√17
• 3√5

Learning Target (8/26)

Inductive Reasoning

1. I am able to use inductive reasoning to find patterns.

2. I am able to prove a conjecture/statement false using counterexamples.

Inductive Reasoning

​n = 1 2 3 4

Conjecture: 2n = # of triangles.

Multiple Choice

Find the next term in the following: 1, 3, 9, 27, 81, ___

• 729

• 108

• 162

• 243

Multiple Choice

For the series of numbers just solved, what conjecture accurately reflects the pattern of numbers (1, 3, 9, 81, 243) ?

• n^n-1

• 9^n-1

• 3ⁿ

• 3^n-1

Counter Example

Multiple Choice

Conjecture: If the sum of two numbers is an even number, then both numbers are even.

Which of the following is a valid Counterexample?

• 2 + 2 = 4

• 3 + 2 = 5

• 3 + 5 = 8

• -4 + 6 = 2

Multiple Choice

Data from four trials on a new sleep herb are shown in the table. Which of the following is a valid conjecture about the effectiveness of the sleep herb?

• Roughly 21-22 percent of people taking the herb reported sleeping better.

• A small percentage of people who took the herb reported sleeping better.

• The majority of people who took the herb reported sleeping better.

• More than 25% of people who took herb reported sleeping better.

Learning Target (8/28)

Conditional Statements and Vertical Angles

1. I am able to use write a conditional statement.

2. I am able to find the converse of a conditional statement.

3. I am able to write a bi-conditional statement.

4. I am able to use properties of vertical angles to find missing information.

Conditional Statements

Multiple Choice

Which of the following is a Conditional Statement of: A polygon with 5 sides is a pentagon.

• If a pentagon has 5 sides, then it is a polygon.

• If a polygon has five sides, then it is a pentagon.

• A pentagon is a polygon if and only if it contains 5 sides.

• If a polygon does not have 5 sides, then it is not a pentagon.

Multiple Choice

What would be the Converse of the following Conditional statement:

"If two angles are congruent, then their angles have the same measure."

• Two angles have the same measure if and only if the angles are congruent.

• If their angles have the same measure, then two angles are congruent.

• If two angles are not congruent, then their angles are not the same measure.

• Two angles are congruent if and only if their angles have the same measure.

Multiple Choice

Conditional Statement: If the Cowboys win the Super Bowl, then they will have a successful season.

Which of the following is a biconditional statement of the above Conditional Statement?

• If the Cowboys do not win the Super Bowl, then they will not have a successful season.

• The Cowboys will have a successful season if and only if they win the Super Bowl.

• If the Cowboys win the Super Bowl, then they will have a successful season.

Multiple Choice

Conditional Statement: If two angles are supplementary, then their angle dimensions sum to 180 degrees.

Which of the following is a biconditional statement of the above statement?

• Two angles are supplementary if and only if their angles dimensions sum to 180 degrees.

• If two angles are not supplementary, then their angle dimensions do not sum to 180 degrees.

• If their angle dimensions sum to 180 degrees, then two angles are supplementary.

Vertical Angles

Multiple Choice

Find the measure of angle "x" and "y":

• x = 50

  y = 130

• x = 50

  y = 50

• x = 130

  y = 50

• x = 50

  y = 270