SOAR Geo | 4-6 Equilateral & Isosceles Triangles

Multiple Select

What are the defining characteristics of a an equilateral triangle?

• All of the sides are equal in length.

• All of the angles are equal in measure.

• Exactly two angles are congruent.

• Exactly two sides are congruent.

Multiple Choice

What is the value of $$x$$ ?

• 12

• 6

• not enough information

• 10

Multiple Choice

What is the measure of ∠S?

• not enough information

• 30

• 60

• 180

Categorize

Options (3)

$$\overline{AO}$$  

$$\overline{AB}$$  

$$\overline{OB}$$  

Categorize the sides of isosceles triangle as CONGRUENT or NOT CONGRUENT.

CONGRUENT

NOT CONGRUENT

Categorize

Options (3)

$$\angle O$$  

$$\angle B$$  

$$\angle A$$  

Categorize the angles of isosceles triangle as CONGRUENT or NOT CONGRUENT.

CONGRUENT

NOT CONGRUENT

Multiple Choice

The Isosceles Triangle Theorem says:

If two sides in a triangle are congruent, then...

• the triangle has no lines of symmetry.

• the triangle is equilateral.
• the angles opposite the congruent sides are congruent.

• the sum of the angles is 180 degrees.

Multiple Select

Which sides are congruent in this triangle?

• TU

• TV

• UV

Drag and Drop

Which angles are opposite of the congruent sides?

Angle​

Placeholder

is opposite of side TV.

Angle​

Placeholder

is opposite of side TU.

Drag these tiles and drop them in the correct blank above

V

T

U

Math Response

If sides UT and VT are congruent, and angles U and V are congruent, then what is the measure of $$\angle U$$ ?

Type answer here

Correct Answer: 48

Deg^°

Rad

Multiple Choice

The Isosceles Triangle Theorem also says:

If two angles in a triangle are congruent, then...

• the triangle has no lines of symmetry.

• the triangle is equilateral.
• the sides opposite the congruent angles are congruent.

• the sum of the angles is 180 degrees.

Multiple Select

Which angles are congruent in this triangle?

• $$\angle E$$

• $$\angle C$$

• $$\angle D$$

Drag and Drop

Which SIDES are opposite of the congruent ANGLES?

Side​

Placeholder

is opposite of angle D.

Side​

Placeholder

is opposite of angle C.

Drag these tiles and drop them in the correct blank above

DE

DC

EC

Math Response

If angles C and D are congruent, and sides DE and CE are congruent, then what is the measure of $$\overline{DE}$$ ?

Type answer here

Correct Answer: 4

Deg^°

Rad

Multiple Select

Which sides are congruent in this triangle?

• KI

• IJ

• JK

Drag and Drop

Which angles are opposite of the congruent sides?

Angle​

Placeholder

is opposite of side KJ.

Angle​

Placeholder

is opposite of side JI.

Drag these tiles and drop them in the correct blank above

K

J

I

Math Response

If sides KJ and JI are congruent, and angles K and I are congruent...

---

Then, what EQUATION (using v are your variable) can be written for the sum of all 3 angles in the triangle?

Type answer here

Correct Answer: v+v+88=180

Deg^°

Rad

Draw

The equation that can be written is:

$$v+v+88=180$$

Solve the equation.

Use the blank canvas to show your work & enter your on the next slide.

Math Response

$$v\degree=$$

Type answer here

Correct Answer: 46

Deg^°

Rad