Angles

Classifying Triangles by Angles

100

Triangle with 3 congruent angles

Equiangular triangle

200

Triangle with 3 angles less than 90 degrees each

acute triangle

300

triangle with an angle greater than 90 degrees

obtuse triangle

400

A triangle with a 90 degree angle

right triangle

500

Classify triangle ABC

Angle A= 23 degrees

Angle B= 121 degrees

Angle C= 36 degrees

Obtuse Triangle

Classifying Angles by Sides

100

Triangle with 3 congruent sides

Equilateral triangle

200

Explain what an Isosceles triangle is

A triangle with 2 congruent sides

300

What is a triangle called with zero congruent sides?

Scalene Triangle

400

Triangle ABC has sides of lengths 5 cm, 5 cm, and 8 cm. What type of triangle is it?

Isosceles Triangle

500

Classify the triangle with side lengths of 2, 6, 12.

Scalene Triangle

Triangle Angle Sum Theorem

100

What is the Triangle Angle Sum Theorem?

The sum of the 3 angles in the triangles equals 180 degrees

200

Solve for x and classify the triangle.

Triangle ABC

Angle A=98 degrees

Angle B=23 degrees

Angle C=x degrees

x=59 degrees

Obtuse Triangle

300

Using the Triangle Angle-sum theorem, solve for A

In a triangle, angle A=? B=40 C=120

A=20

400

In triangle XYZ, angle X is three times the measure of angle Y, and angle Z measures 30 degrees. What are the measures of angles X and Y?

X= 112.5

Y= 37.5

500

In triangle PQR, angle P measures 2x degrees, angle Q measures 3x degrees, and angle R measures (x + 10) degrees. What is the value of x?

x=28.333

Exterior Angle Theorem

100

What is the Exterior Angle Theorem?

The sum of 2 non-adjacent interior angles of a triangle equal the exterior angle.

200

In triangle ABC, angle A measures 40 degrees, angle B measures 60 degrees, and angle C is the exterior angle at vertex C. What is the measure of angle C?

Angle C=100 degrees

300

In triangle DEF, the measure of exterior angle D is 130 degrees. If angle E measures 50 degrees, what is the measure of angle F?

Angle F= 80 degrees

400

In triangle ABC, angle A is 2x+10 degrees, angle B is 3x−20 degrees, and angle C is the exterior angle at vertex C. What is the value of x if angle C measures 100 degrees?

x=22

500

In triangle JKL, angle J measures x+30 degrees, angle K measures 2x−10 degrees, and angle L is the exterior angle at vertex K. If angle L measures 7x-4, find x.

x=6

Prior Units

100

Find the distance between the two points.

(12,3) (-4,4)

fix tomorrow

200

Find the midpoint of the two coordinates.

(4,6) (-3,1)

answer tomorrow

300

What are complementary angles?

two angles that add up to 90 degrees

400

Draw a representation of vertical angles.

.

500

True or False

Linear pairs are always complementary

False