Intro to Geometry Angles Classifying Triangles.

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Presentation transcript:

Intro to Geometry

Angles

Classifying Triangles

Classifying Quadrilaterals

Polygons & Symmetry

Congruent & Similar Figures

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What extends without end in two opposite directions?

A line

How do I write the name of this? CD

CD OR DC

How do I write the name of this? A B

BA

A B C EG Name 2 lines that are parallel

AC EG CA GE OR and

What type of lines are these?

Parallel lines

Name this 3 different ways J K L

JKL LKJ K

What is the approximate measurement of the following angle? a.60° b.95° c.140°

The angle is approximately 60°, because we know it is an acute angle, because it is less than 90°

Use estimation to name the angle whose measure is closest to the given measure: a. 90 ° b. 15 ° c. 135 ° M N O P Q R

a. ORM b. PRQ c. PRM

J K L M N O Name 2 obtuse angles from the following diagram

KON MOJ

What angles are 90°? A B C D EF

CFA AND CFE

What type of triangle is this ?

Equilateral triangle ~All three sides have the same length

What type of triangle is this ?

Isosceles triangle ~Two sides that are the same length

What type of triangle is this ? 6 in. 10 in. 2 in.

Scalene triangle ~All three sides are different lengths

What type of triangle is this? 45°

Right triangle ~A triangle with 1 right angle

Find the measurement of the missing angle, x 100° 15° x°

100° + 15° = 115° 180° - 115° = 65° X = 65°

What quadrilateral has 2 pairs of parallel sides AND 4 right angles?

A rectangle

What quadrilateral has 2 pairs of parallel sides, 4 right angles, and all 4 sides are the same length?

A square

What quadrilateral has 2 pairs of parallel sides and 4 sides that are all the same length?

A rhombus

True or false…. All squares are parallelograms

True All squares have 2 pairs of parallel sides

Which sides of this quadrilateral are parallel? A BC D

AD BC and

What is the name of the following figure?

A regular pentagon ~A pentagon is a five-sided closed polygon

Is the following figure a regular hexagon or an irregular hexagon?

Irregular hexagon ~All the sides are not the same length, and all of the angles are not the same measurement.

Classify the following polygon, and tell whether it is regular or irregular.

Regular octagon ~An octagon is an eight-sided closed polygon. This specific octagon has sides of all equal length, and angles are all equal measurement.

How many lines of symmetry does this figure have?

This figure has 1 line of symmetry

How many diagonals can be drawn from one vertex of this figure? How many triangles can be formed by these diagonals?

~3 diagonals can be drawn from 1 vertex ~4 triangles are formed from these diagonals

6 in. 8 in. 16 in. 12 in. Are these triangles similar or congruent?

These triangles are similar triangles They are the same shape, but a different size

The following triangles are congruent. What is the value of x and y? 15 in. 12 in. x 14 in. 33° y°y°

Since the triangles are congruent, they have the same exact measurements. So x = 14 in. y = 33°

A BC D ABD and ADC are congruent. How long is CD? 31 m 20 m 45°

CD is 31 meters ~Since both triangles are congruent, CD will have the same measurement as BD.

A B C D E F ABC and DEF are congruent. List the corresponding angles.

The corresponding angles are: AD B E CF and

Are these triangles similar or congruent? Why? 20 in. 10 in. 5 in.

These quadrilaterals are similar, because they have the same shape, but not the same size.

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