TT PA Week 27 (Lesson 103-107)

Why are obtuse triangles so depressed?

Pre-Algebra Week 27

Lesson 103-107

Lesson 103 - Points, Lines, and Planes

Lines and Line Segments

A plane is a flat surface with no thickness that extends forever in all directions.

There are several planes on this cube.

Planes

Lesson 103 - Points, Lines, and Planes

More than one line

When lines intersect they are called perpendicular lines.

When lines run next to each other but never cross they are called parallel.

Skew lines don't lie on the same plan.

Multiple Choice

A line segment has one end point and goes forever in the opposite direction.

• False

• True

Multiple Choice

Parallel lines are lines that lie in the same plane but that don’t intersect.

• True

• False

Multiple Choice

A plane is a flat surface with no thickness that extends forever in all directions.

• False

• True

Multiple Choice

Select the correct name for the dashed section below.

• $$\overline{PR}$$

• $$\overrightarrow{QP}$$

• $$\overrightarrow{PQ}$$

• $$\overleftarrow{PQ}$$

• $$\overleftarrow{RP}$$

Multiple Choice

Use the picture on the right to tell which two streets appear to intersect.

• 23rd Street and 5th Avenue

• Madison Avenue and Canal Street

• Houston Avenue and Madison Avenue

• Canal Street and Park Avenue

• 18th Street and Holland Park

Multiple Choice

Use the figure on the right to select the answer to the question below. $$\overline{IJ\ }$$ and $$\overline{BC}\$$ are ___________.

• intersect

• are skew

• are parallel

• are rays

LEsson 104 - Angles

​Angles are another simple part of geometry

An angle is made of two rays that have the same end point. This end point is called the vertex. When naming an angle the vertex letter should be in the middle.

Multiple Select

What are two ways to name this angle?

• $$\angle$$ A

• $$\angle$$ B

• $$\angle$$ BAC

• $$\angle$$ ABC

This angle measures exactly 90°

Right Angle

This angle measures 89° or less.

Acute Angle

This angle measures 91° or greater, but less than 180°

Obtuse Angle

Multiple Choice

Select the correct description of this angle.

• obtuse

• right

• straight

• acute

Multiple Choice

Name the angle shown by the arc in the simplest way possible.

• $$\angle$$ J

• $$\angle$$ P

• $$\angle$$ OPR

• $$\angle$$ OJR

• $$\angle$$ OJP

Multiple Choice

• 140

• 120

• 100

• 60

• 20

Multiple Choice

An angle is made up of two rays that both have the same end point.

• True

• False

Multiple Choice

When naming an angle, the vertex letter should always be first.

• False

• True

Lesson 105 - Pairs of Angles

Adjacent, Vertical, Supplementary and complementary angles

Adjacent angles share a side and a vertex. They do not overlap.

Vertical angles are always on opposite sides. They have the same vertex but do not share a side. They measure the same.

Supplementary angles add up to 180 degrees.

Complementary angles add up to 90 degrees.

Fill in the Blank

Don't worry about labeling with degrees, just enter a number.

Fill in the Blank

$$\angle$$ F and $$\angle$$ G are supplementary. If $$\angle$$ F has a measure of 83 degrees, find the measure of $$\angle$$ G. (don't worry about labeling with degrees, just enter a number)

Fill in the Blank

$$\angle$$ Q and $$\angle$$ R are complementary. If $$\angle$$ R has a measure of 26 degrees, find the measure of $$\angle$$ Q. (don't worry about labeling with degrees, just enter a number)

Multiple Choice

Adjacent angles must have the same vertex, a common side and do not overlap.

• True

• False

Multiple Choice

Vertical angles are always equal.

• True

• False

Lesson 106 - Line and Angle Relationships

Intersecting Line

Transversal Line- A line that intersects two other lines at different points.

Alternate Interior Angles- angles that are on opposite sides of the transversal.

Corresponding Angles- angles that are on the same side of the transversal and in corresponding positions.

Multiple Choice

What angle corresponds to  $$\angle7$$  ?

• $$\angle4$$  

• $$\angle5$$  

• $$\angle8$$  

• $$\angle7$$  

Multiple Choice

What angle corresponds to  $$\angle1$$  ?

• $$\angle4$$  

• $$\angle5$$  

• $$\angle8$$  

• $$\angle2$$  

Multiple Choice

What angle corresponds to $$\angle4$$ ?

• $$\angle4$$

• $$\angle5$$

• $$\angle3$$

• $$\angle2$$

Multiple Choice

What is the value of "a"?

• 75°

• 65°

• 55°

• 85°

Multiple Choice

A line that intersects two other lines in different points is a transversal.

• True

• False

Multiple Choice

When a transversal intersects two parallel lines, alternate interior angles are complementary.

• False

• True

Multiple Choice

When a transversal intersects two parallel lines, corresponding angles are supplementary.

• True

• False

Lesson 107 - TriAngles

​Types of Triangles

Scalene Triangles- no equal sides

Isosceles Triangles- at least two equal sides

Equilateral Triangles- all three sides are equal

Acute Triangle- all angles are acute

Right Triangle- one right angle

Obtuse Triangle- one obtuse angle

Multiple Choice

In a scalene triangle, all three angles are less than 90 degrees.

• False

• True

Multiple Choice

An isosceles triangle has at least two equal sides.

• True

• False

Multiple Choice

The three angles of any triangle, no matter what it's shape, always add to 360 degrees.

• True

• False

Homework

Lessons 103-107 in Teaching Textbooks

Chapter 13 Vocabulary