D-3 Isosceles Triangle Thm and Converse HW Name ... - Weebly

D-3 Isosceles Triangle Thm and Converse HW Geometry

Name______________________

1) Determine whether each statement is always, sometimes, or never true. Justify each conclusion with an explanation and/or diagram(s).

a) The largest angle of an isosceles triangle is obtuse.

b) If a right triangle has a 45 angle, then it is isosceles.

2) Draw a picture of each situation and give the measure of the THREE angles of each triangle described below. a) An isosceles triangle with a vertex angle of 70.

b) An isosceles triangle with a base angle of 70.

c) An isosceles triangle which the vertex angle is twice the measure of the base angles.

3) Label the diagram below if ABF is isosceles, CDF is equilateral, and mAFD = 150. Then find each angle listed below. mCFD = ______ mAFB = ______ mA = ______ mABF = ______

4) Knowing the converse of the Isosceles Triangle Theorem, would triangle ABC be scalene, equilateral, or scalene if two of the angles measure 38 degrees and 85 degrees? Explain your reasoning.

***These are a little tough ...Remember the Isos. Triangle thm, its converse, and triangle sum thm. 5) Determine the value of x for each of the following situations.

a) x = _______

b) x = ______

c) x = ______

d) x = ______

e) x = _______

f) Find x and y 72

x = ______ y = ______ 9x

(8y ? 16)

g) If , find mB. mB = _____

h) Find the perimeter of STV. P= _________

D-3 Isosceles Triangle Thm and Converse HW Geometry

Name______________________

6) Determine whether each statement is always, sometimes, or never true. Justify each conclusion with an explanation and/or diagram(s).

c) The largest angle of an isosceles triangle is obtuse.

d) If a right triangle has a 45 angle, then it is isosceles.

7) Draw a picture of each situation and give the measure of the THREE angles of each triangle described below. d) An isosceles triangle with a vertex angle of 70.

e) An isosceles triangle with a base angle of 70.

f) An isosceles triangle which the vertex angle is twice the measure of the base angles.

8) Label the diagram below if ABF is isosceles, CDF is equilateral, and mAFD = 150. Then find each angle listed below. mCFD = ______ mAFB = ______ mA = ______ mABF = ______

9) Knowing the converse of the Isosceles Triangle Theorem, would triangle ABC be scalene, equilateral, or scalene if two of the angles measure 38 degrees and 85 degrees? Explain your reasoning.

***These are a little tough ...Remember the Isos. Triangle thm, its converse, and triangle sum thm. 10) Determine the value of x for each of the following situations.

b) x = _______

b) x = ______

d) x = ______

d) x = ______

f) x = _______

f) Find x and y 72

x = ______ y = ______ 9x

(8y ? 16)

g) If , find mB. mB = _____

h) Find the perimeter of STV. P= _________

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download