Review the following concept if necessary: Types of Triangles Study Guide.

**Types of Triangles Practice Questions**

**Problems**

**Classify each triangle shown or described as equilateral, isosceles, or scalene.**

- Δ
*ABC*with*AB*= 10,*BC*= 10, and*AC*= 8. - Δ
*DEF*with*DE*= 6,*EF*= 8, and*DF*= 10. - Δ
*XYZ*with*XY*= 7,*YZ*= 7, and*XZ*= 7.

**Name the legs, vertex angle, base angles, and base of the isosceles triangles.**

**Classify each triangle shown or described as acute, right, obtuse, or equiangular.**

- Δ
*MNO*with*mM*= 130°,*mN*= 30°, and*mO*= 20°. - Δ
*RST*with*mR*= 80°,*mS*= 45°, and*mT*= 55°. - Δ
*GHI*with*mG*= 20°,*mH*= 70°, and*mI*= 90°. - The vertex angle of an isosceles triangle will always be the smallest angle.
- An equilateral triangle is also an equiangular triangle.
- An isosceles triangle may also be a right triangle.
- It is possible for a scalene triangle to be equiangular.
- It is possible for a right triangle to be equilateral.
- It is possible for an obtuse triangle to be isosceles.
- An equilateral triangle is also an acute triangle.
- A triangle can have two obtuse angles.
- A triangle cannot have more than one right angle.
- The non-congruent side of an isosceles triangle is called the _____.
- List the types of triangles with at least two acute angles.
- A small curve made on an angle of a triangle signifies _____.

**Determine whether the following statements are true or false.**

**Give the answer to each question based on the readings from the lesson.**

**Answers**

- equilateral
- isosceles
- scalene
- scalene
- scalene
- isosceles
- scalene
- equilateral
- legs: and
- legs: and
- legs: and
- acute
- equiangular and acute
- right
- obtuse
- obtuse
- acute
- right
- false
- true
- true
- false
- false
- true
- true
- false
- true
- base
- acute, equiangular, right, obtuse, isosceles, equilateral, and scalene
- a congruent angle

vertex angle: *Y*

base angles: *X* and *Z*

base:

vertex angle: *S*

base angles: *R* and *T*

base:

vertex angle: *E*

base angles: *D* and *F*

base:

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