3.1
3.2
3.3
3.4
Bonus
100
Which of the following is the statement below describing?
In a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.
A.Right Triangle Theorem
B.Pythagorean Theorem
C.Perpendicular Bisector Theorem
D.Angle Bisector Theorem
B.Pythagorean Theorem
100
In the figure below, 
ABD measures 37
. What is the measure of ABC?
A.74
B.37
C.64
D.47
A.74
100
Two right triangles are similar if the acute angles of one triangle are congruent to the acute angles of the other triangle.
A. True
B. False
A. True
100
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg?
A. 1:1
B. 2:1
C. 1:
D. :1
A. 1:1
100
In the triangle shown below, what is the approximate value of x?
A.13 units
B.19 units
C.22.52 units
D.29.07 units
C. 22.52 Units
200
Which of the following is the Pythagorean Theorem?
A. In an obtuse triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.
B. In a right triangle, the sum of the squares of the leg lengths is less than the square of the hypotenuse length.
C. In an obtuse triangle, the sum of the squares of the leg lengths is less than the square of the hypotenuse length.
D. In a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.
D. In a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.
200
In the figure below, ABD measures 32. What is the measure of ABC?
A.42
B.74
C.64
D.32
C. 64
200
According to the diagram below, which similarity statements are true?
Check all that apply.
A.
ABC ~ ADB
B.ABC ~ ADC
C.ABC ~ BDC
D.ABD ~ BCD
A.ABC ~ ADB
C.ABC ~ BDC
D.ABD ~ BCD
200
The legs of a 45-45-90 triangle have a length of 8 units. What is the length of its hypotenuse?
A. 4 units
B. 8 units
C. 4 units
D. 8 units
D. 8 units
200
A triangle with sides of lengths 10, 24, and 27 is a right triangle.
A.True
B.False
B. False
300
Which expression gives the length of PQ in the triangle shown below?
A. 15 + 19
B. 152 + 192
C. 
D. 
D.
300
Which of the following is the Perpendicular Bisector Theorem?
A. If a point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.
B. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
C. If a point is equidistant from the endpoints of the segment, then it lies on the perpendicular bisector of that segment.
D. If a point is proportional from the endpoints of the segment, then it lies on the perpendicular bisector of that segment
B. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
300
What is the value of x in the diagram below?
A. 6
B. 7
C. 8
D. 9
D. 9
300
In EFG, m
E = 30, mF = 60, and mG = 90. Which of the following statements about EFG are true?
Check all that apply.
A. EF = 2 • FG
B. EG = 2 • FG
C. EF = 
• FG
D. EG = • FG
E. EG = 
• EF
F. FG = • EF
A. EF = 2 • FG
D. EG = • FG
E. EG = • EF
300
What is the length of 
?
A. 72
B. 96
C. 132
D. 136
D. 136
400
Which expression gives the length of QR in the triangle shown below?
A. 17 + 25
B. 172 + 252
C. 
D. 
D.
400
Which of the following is the statement below describing?
If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.
A. Perpendicular Bisector Theorem
B. Angle Bisector Theorem
C. Converse of the Perpendicular Bisector Theorem
D. Converse of the Angle Bisector Theorem
B. Angle Bisector Theorem
400
In the diagram below, ABC ~ DEC. What is the value of x?
A. 3
B. 4
C. 5
D. 6
D. 6
400
In the triangle below, what is the length of the side opposite the 30
angle?
A.2
B.
C.3D.
B.
400
The HA congruence theorem for right triangles is a special case of the _____.
A.AAS theorem
B.ASA postulate
C.SAS postulate
D.SSS postulate
A. AAS Theorem
500
The legs of a right triangle measure 6 meters and 8 meters. What is the length of the hypotenuse?
A. 10 meters
B. 12 meters
C. 14 meters
D. 100 meters
A. 10 meters
500
Which of the following are not congruence theorems for right triangles?
Check all that apply.
A. HA
B. AA
C. HL
D. LA
B. AA
500
n the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?
A. 44
B. 52
C. 56
D. 58
C. 56
500
What is the length of the diagonal of the square shown below?
A. 5
B. 
C. 
D. 
E. 
F. 25
E.
500
Based on the information marked in the diagram, ABC and DEF must be congruent.
A.True
B.False
A. True