# Triangle Relationships

## Quiz by Joe Mahoney

High School
Geometry - Next Generation (2017)
New York State Next Generation Standards

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66 questions
• Q1
In the diagram, AB || CD and GH = IH. If m<EGB = 50˚, what is m<HIG?
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300s
GEO-G.CO.C
• Q2
In the diagram below, FE bisects AC at B, and GE bisects BD at C. Which statement is always true?
AC bisects FE at B
FB = EB
AB = DC
BD bisects GE at C
300s
GEO-G.CO.C
• Q3
In the diagram, m∠BDC = 100°, m∠A = 50°, and m∠DBC = 30°. Which statement is true?
∆ABC is isosceles.
∆ABC is obtuse.
∆ABC is scalene.
m∠ABD = 80°
300s
GEO-G.CO.C
• Q4
Segment CD is the perpendicular bisector of AB at E. Which pair of segments does not have to be congruent?
AE and BE
AC and BC
DE and CE
300s
• Q5
The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the smallest angle of the triangle is
80
60
20
40
300s
GEO-G.CO.C
• Q6
The vertex angle of an isosceles triangle measures 15 degrees more than one of its base angles. How many degrees are there in a base angle of the triangle?
55
65
70
50
300s
GEO-G.CO.C
• Q7
Which numbers could represent the lengths of the sides of a triangle?
7, 7, 15
5, 9, 14
1, 2, 4
3, 6, 8
300s
GEO-G.CO.C
• Q8
The three medians of a triangle intersect at a point. Which measurements could represent the segments of one of the medians?
3 and 9
2 and 3
3 and 6
3 and 4.5
300s
GEO-G.CO.C
• Q9
In ABC, m∠A = 3x + 1, m∠B = 4x - 17, and m∠C = 5x - 20. Which type of triangle is ABC?
obtuse
isosceles
scalene
right
300s
GEO-G.CO.C
• Q10
In ABC, m∠A = 60˚, m∠B = 80˚, and m∠C = 40˚. Which inequality is true?
AB > AC
AC > BC
AB > BC
AB > BC
300s
GEO-G.CO.C
• Q11
In the diagram below, LMO is isosceles with LO = MO. If m∠L = 55˚ and m∠NOM = 28˚, what is m∠N?
27
28
70
42
300s
GEO-G.CO.C
• Q12
In the diagram below of △ACE, medians AD, EB, and CF intersect at G. The length of FG is 12. What is the length of CG?
6
24
12
4
300s
GEO-G.CO.C
• Q13
In the diagram of △KLM below, m∠L = 70˚, m∠M = 50˚, and MK is extended through N. What is the measure of ∠LKN?
110˚
130˚
60˚
120˚
300s
GEO-G.CO.C
• Q14
In △DEF, m∠D = 3x + 5, m∠E = 4x − 15, and m∠F = 2x + 10. Which statement is true?
m<D = m<F
m<E = m<F
DF = EF
DE = FE
300s
GEO-G.CO.C
• Q15
In isosceles triangle ABC, AB = BC. Which statement will always be true?
m∠A > m∠B
m∠B = m∠A
m∠C < m∠B
m∠A = m∠C
300s
GEO-G.CO.C

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