Intro to Geometry Overview

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Easy

Amanda Drozdowski

Used 8+ times

FREE Resource

9 Slides • 14 Questions

Introduction to Geometry

Survey of Math

Line Segments

Math Response

If $PQ=9$ and $RQ=28$ , find PR.

Type answer here

Deg^°

Rad

Math Response

If $QR=17$ and $PR=21$ , find PQ.

Type answer here

Deg^°

Rad

Math Response

If $PQ=11$ and $PR=54$ , find QR.

Type answer here

Deg^°

Rad

Line Segments

All segments can be divided into 2 congruent segments by a point called the midpoint. A line, ray, or segment that intersects a segment at its midpoint is said to bisects the segment and is called the segment bisector.

Multiple Choice

If Q is the midpoint of PR, which of the following equations would be used to solve for x?

$7x+4x=-16+2$

$7x-16=4x+2$

$2+7x=-16+4x$

Angles

An angle is formed by two rays with a common endpoint called a vertex. The rays are called the sides. Name an angle using 3 letters and the middle letter MUST always represent the vertex (unless there is only one angle located at the vertex). When referring to the measure of an angle, use a lowercase m.

Multiple Select

Select ALL the possible options of the measure of this angle.

$m\angle ABC=60\degree$

$m\angle CBA=60\degree$

$m\angle B=60\degree$

$m\angle A=60\degree$

$m\angle C=60\degree$

Categorize

Options (8)

measures less than 90

measures exactly 90

measures greater than 90

measures exactly 180

Match the types of angles with their respective example and definition.

Acute

Right

Obtuse

Straight

Angles

Math Response

If $m\angle ABD=48\degree$ and $m\angle DBC=78\degree$ , find $m\angle ABC$

Type answer here

Deg^°

Rad

Math Response

If $m\angle ABC=119\degree$ and $m\angle DBC=74\degree$ , find $m\angle ABD$

Type answer here

Deg^°

Rad

Types of Angle Pairs

Relationship	Definition
Vertical Angles	When 2 lines intersect at a point they are the angles that are equal to each other.
Complementary	Two angles with measures that add up to 90
Supplementary	Two angles with measures that add up to 180 A linear pair are 2 angles that form a line*

Relationship

Definition

Vertical Angles

When 2 lines intersect at a point they are the angles that are equal to each other.

Complementary

Two angles with measures that add up to 90

Supplementary

Two angles with measures that add up to 180

*A linear pair are 2 angles that form a line

*Draw your own examples in your notes packet

Match

Name a pair of adjacent angles, a pair of

complementary angles, and a pair of supplementary angles.

Adjacent Angles

Complementary Angles

Supplumentary Angles

$\angle DAC\ \&\ \angle BAC$

$\angle BAC\ \&\ \angle RST$

$\angle DAC\ \&\ \angle RST$

Categorize

Options (12)

$\angle1\ \&\ \angle4$

$\angle4\ \&\ \angle3$

$\angle3\ \&\ \angle2$

$\angle2\ \&\ \angle1$

$\angle8\ \&\ \angle7$

$\angle7\ \&\ \angle6$

$\angle6\ \&\ \angle5$

$\angle5\ \&\ \angle8$

$\angle1\ \&\ \angle3$

$\angle2\ \&\ \angle4$

$\angle5\ \&\ \angle7$

$\angle6\ \&\ \angle8$

Name all the linear pairs and vertical angles in the figure.

Linear Pairs

Vertical Angles

Dropdown

Complete the following sentences.

a. ∠1 is a complement of ∠2. If the m∠1 = 49°, then the m∠2 is

º.

b. ∠3 is a supplement of ∠4. If the m∠3 = 119°, then the m∠4 is

º.

c. ∠5 and ∠6 and vertical angles. If the m∠5 = 33°, then the m∠6 is

º.

d. ∠B and ∠A are a linear pair. If the m∠A = 65.2°, then the m∠B is

º.

Triangles

A triangle is a polygon with three (3) sides and three (3) angles.

We can classify triangles by using either the angles and/or the sides.

Classify by Angles

Classify by Sides

Match

Classify the following triangles by angles and by sides. (You may have to solve for the value of x in some of the triangles.)

right

isosceles

acute

scalene

obtuse

scalene

acute

scalene

equiangluar

equilateral

Math Response

Solve for the value of x. Type only the number!

Type answer here

Deg^°

Rad

Multiple Select

Write an equation to solve for the value of x.

HINT: There may be more than one answer!

$3x-1=31$

$3x-1=59$

$\left(3x-1\right)+31=180$

$\left(3x-1\right)+31=90$

$\left(3x-1\right)+31+90=180$

Introduction to Geometry

Survey of Math

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