Chapter 4 Practice problems

Find the sum of the measures of the three angles of a right angle.

180 degrees

Find the sum of the measures of the three angles of an acute angle.

180 degrees

Find the sum of the measures of the three angles of an obtuse angle.

180 degrees

If two sides of triangle measure 4cm and 9cm, find the possible range of the third side.

5 < X <13

If the vertex of isosceles measures 30 degrees, then find the measure of base

75 degrees

If the base angles of isosceles measures 50 degrees, then find the vertex angle measure.

80 degrees

which side lengths is it possible to create a triangle with a. 2cm, 5cm, and 5cm b. 4ft, 9ft, 3 ft c. 8m, 8m, 16cm d. 8yd, 6ft, 4yd

A

Give another name for the median of an isosceles triangle that touches the base.

Altitude

List the sides of triangle ABC, in order from least to greatest if m-angle = 42 degrees, m-angle B = 70 degrees, and m-angle C = 68 degrees.

BC, AB, AC

Explain what the letters CPCTC are an abbreviation for and how you would use it.

Corresponding Parts of Congruent Triangles are congruent. Used when two triangles are proven congruent (meaning angles and sides are congruent).

Explain the relationship between exterior angles of a triangle and the remote interior angles.

Exterior angles are equal to the sum of the remote interior angles.

If two sides and a non included angle of one triangle are congruent to two sides and are included an angle of another triangle are the triangles are congruent? (draw and mark the picture

NO

List all the triangle congruence short cuts.

SSS, SAS, ASA, AAS, SAA

If three sides of a triangle are congruent to three sides of another triangle, are the triangles congruent? (draw and mark the picture.

yes

If two sides and an included angle of one triangle are congruent to two sides and an included angle of another triangle, are the triangles congruent? (draw and mark the picture.

yes