# Triangle Relationships

## Quiz by Joe Mahoney

High School

Geometry - Next Generation (2017)

New York State Next Generation Standards

Feel free to use or edit a copy

includes Teacher and Student dashboards

### Measures 1 skill from

Measures 1 skill from

Track each student's skills and progress in your Mastery dashboards

With a free account, teachers can

- edit the questions
- save a copy for later
- start a class game
- automatically assign follow-up activities based on students’ scores
- assign as homework
- share a link with colleagues
- print as a bubble sheet

66 questions

Show answers

- Q1In the diagram, AB || CD and GH = IH. If m<EGB = 50˚, what is m<HIG?Users enter free textType an Answer300sGEO-G.CO.C
- Q2In the diagram below, FE bisects AC at B, and GE bisects BD at C. Which statement is always true?AC bisects FE at BFB = EBAB = DCBD bisects GE at C300sGEO-G.CO.C
- Q3In 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°300sGEO-G.CO.C
- Q4Segment CD is the perpendicular bisector of AB at E. Which pair of segments does not have to be congruent?AE and BEAC and BCAD and BDDE and CE300s
- Q5The 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 is80602040300sGEO-G.CO.C
- Q6The 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?55657050300sGEO-G.CO.C
- Q7Which numbers could represent the lengths of the sides of a triangle?7, 7, 155, 9, 141, 2, 43, 6, 8300sGEO-G.CO.C
- Q8The three medians of a triangle intersect at a point. Which measurements could represent the segments of one of the medians?3 and 92 and 33 and 63 and 4.5300sGEO-G.CO.C
- Q9In ABC, m∠A = 3x + 1, m∠B = 4x - 17, and m∠C = 5x - 20. Which type of triangle is ABC?obtuseisoscelesscaleneright300sGEO-G.CO.C
- Q10In ABC, m∠A = 60˚, m∠B = 80˚, and m∠C = 40˚. Which inequality is true?AB > ACAC > BCAB > BCAB > BC300sGEO-G.CO.C
- Q11In the diagram below, LMO is isosceles with LO = MO. If m∠L = 55˚ and m∠NOM = 28˚, what is m∠N?27287042300sGEO-G.CO.C
- Q12In 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?624124300sGEO-G.CO.C
- Q13In 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˚300sGEO-G.CO.C
- Q14In △DEF, m∠D = 3x + 5, m∠E = 4x − 15, and m∠F = 2x + 10. Which statement is true?m<D = m<Fm<E = m<FDF = EFDE = FE300sGEO-G.CO.C
- Q15In isosceles triangle ABC, AB = BC. Which statement will always be true?m∠A > m∠Bm∠B = m∠Am∠C < m∠Bm∠A = m∠C300sGEO-G.CO.C