Triangles Unit Test/Review Questions And Answers Verified 100% Correct

Triangles Unit Test/Review Questions And Answers Verified 100% Correct The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle? 27° 36° 54° 72° - ANSWER d In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS? QS = 13 5 QS 8 QS 13 3 QS 13 - ANSWER d A line extends from a side of a triangle. Which new angle is created by extending one side of a triangle? a remote interior angle an adjacent interior angle an exterior angle a complementary angle - ANSWER c Which diagram shows possible angle measures of a triangle? A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees. A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees. A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees. A triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees. - ANSWER b In the triangles, Line segment B C is-congruent-to line segment R S and Line segment A C is-congruent-to line segment T S. Triangles A B C and T R S are shown. Sides A C and T S are congruent. Sides T B and R S are congruent. If RT is greater than BA, which correctly compares angles C and S? mC = mS mC mS mC mS mC ≥ mS - ANSWER b Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees. ∠ What is m ABC? m ABC = 15° m ABC = 45° m ABC = 60° m ABC = 75° - ANSWER b A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex. A regular pentagon is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles. The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees. The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles? 54° 72° 108° 144° - ANSWER a Triangle KNM is shown. Angle M K N is 25 degrees. Angle K N M is 130 degrees. Angle N M K is 25 degrees. What is true about the sides of KNM? KN = NM KN + NM = KM KM = 2(NM) KN = 1/2 KM - ANSWER a If triangle RST is an acute triangle, then m S must be less than 90°. equal to 90°. equal to 100°. greater than 90° and less than 180°. - ANSWER a Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54. Based on the diagram, which expresses all possible lengths of segment AB? AB = 25 27 AB 81 AB = 85 AB 27 or AB 81 - ANSWER b The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6. Triangle X Y Z is shown. The length of side X Y is m + 8, the length of side Y Z is 2 m + 3, the length of side Z X is m minus 3. Which is correct regarding the angles of the triangle? mX mZ mY mY mZ mX mY mX mZ mZ mY mX - ANSWER b Consider triangle WXY. Triangle W X Y is shown. The length of side W X is 5, the length of side X Y is 10, and the length of side W Y is 14. Which statement about the angles is true? Angle W is greater than angle Y. . Angle Y is the largest angle. Angle X is smaller than angle W Angle W is the smallest angle. - ANSWER a Consider triangle WXY. Triangle W X Y is shown. The length of side W X is 5% 2 Triangle E B C is shown with its exterior angles. Line E C extends through point F. Line C B extends through point A. Line B E extends through point D. 2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees. What is the value of x? x = 2.25 x = 11.25 x = 13