SS-Geometry - Chapter 4

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Use a protractor to classify the triangle as acute, equiangular, obtuse, or right.

____	1.	
a.	right	c.	equiangular	
b.	acute	d.	obtuse	

____	2.	
a.	equiangular	c.	acute	
b.	obtuse	d.	right	

Find each measure.

____	3.	

a.		c.		
b.		d.		

____	4.	

a.		c.		
b.		d.		

____	5.	

a.		c.		
b.		d.		

Name the congruent angles and sides for the pair of congruent triangles.

____	6.	
a.	 	
b.	 	
c.	 	
d.	 	

Identify the congruent triangles in the figure.

____	7.	
a.		c.		
b.		d.		

Determine whether  given the coordinates of the vertices. Explain.

____	8.	
a.	No; each side of triangle PQR is not the same length as the corresponding side of triangle STU.	
b.	Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU.	
c.	No; two sides of triangle PQR and angle PQR are not the same measure as the corresponding sides and angle of triangle STU.	
d.	Yes; both triangles have an obtuse angle.	

____	9.	
a.	Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU.	
b.	No; each side of triangle PQR is not the same length as the corresponding side of triangle STU.	
c.	No; two sides of triangle PQR and angle PQR are not the same measure as the corresponding sides and angle of triangle STU.	
d.	Yes; both triangles have three sides.	

____	10.	
a.	Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU.	
b.	No; each side of triangle PQR is not the same length as the corresponding side of triangle STU.	
c.	No; neither side has a right angle.	
d.	Yes; two sides of triangle PQR and angle PQR are the same measure as the corresponding sides and angle of triangle STU.	

____	11.	
a.	Yes; both triangles have three acute angles.	
b.	No; each side of triangle PQR is not the same length as the corresponding side of triangle STU.	
c.	No; two sides of triangle PQR and angle PQR are not the same measure as the corresponding sides and angle of triangle STU.	
d.	Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU.	

____	12.	
a.	Yes; two sides of triangle PQR and angle PQR are the same measure as the corresponding sides and angle of triangle STU.	
b.	Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU.	
c.	No; one of the triangles is obtuse.	
d.	No; each side of triangle PQR is not the same length as the corresponding side of triangle STU.	

Refer to the figure.  are all isosceles triangles.

____	13.	What is ?
a.	23	c.	42	
b.	38	d.	35	

____	14.	What is ?
a.	80	c.	64	
b.	38	d.	72	

____	15.	If  what is ?
a.	96	c.	152	
b.	134	d.	138	

____	16.	If  what is ?
a.	98	c.	23	
b.	95	d.	94	

____	17.	Triangles ABC and AFD are vertical congruent equilateral triangles. Find x and y.

a.		c.		
b.		d.		

____	18.	Triangle RSU is an equilateral triangle.  bisects . Find x and y.

a.		c.		
b.		d.		

____	19.	Triangles ABC and AFD are vertical congruent equilateral triangles. Find x and y.

a.		c.		
b.		d.		

____	20.	Triangle RSU is an equilateral triangle.  bisects . Find x and y.

a.		c.		
b.		d.		

____	21.	Triangle RSU is an equilateral triangle.  bisects . Find x and y.

a.		c.		
b.		d.		

Position and label the triangle on the coordinate plane.

____	22.	right isosceles  with congruent sides  and  a units long
a.		c.		
b.		d.		

____	23.	isosceles  with base  2b units long
a.		c.		
b.		d.		

____	24.	equilateral  with height a units and one-half base  b units
a.		c.		
b.		d.		

____	25.	right  with hypotenuse , leg  4a units long, and leg  one-fourth the other leg
a.		c.		
b.		d.		

____	26.	one-half equilateral triangle with  bisecting the triangle at height a units and base  2b units
a.		c.		
b.		d.		

____	27.	right  with hypotenuse  5a units and base  3a units
a.		c.		
b.		d.		

____	28.	equilateral  with height c units and base  2d units
a.		c.		
b.		d.		

____	29.	isosceles  with  half the length of the base and bisecting the base
a.		c.		
b.		d.		

____	30.	isosceles  with  twice the length of the base and bisecting the base
a.		c.		
b.		d.