Geometry Unit Test

Are these triangles congruent?

• Yes, by AAS

• Yes, by SAS

• Yes, by SSS

• Cannot be determined

Tags

CCSS.HSG.SRT.B.5

Which statement correctly describes the relationship between △ABC and △DEF?

• 
  △ABC is congruent to △DEF because you can map △ABC to △DEF using a translation 2 units to the right, which is a rigid motion.

• △ABC is congruent to △DEF because you can map △ABC to △DEF using a reflection across the y-axis, which is a rigid motion.

• △ABC is congruent to △DEF because you can map △ABC to △DEF using a 180 degree rotation, which is a rigid motion.

• 
  △ABC is not congruent to △DEF because there is no sequence of rigid motions that maps △ABC to △DEF.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

The coordinates of the vertices of △JKL are J(-7, 3), K(−8, 7), and L(-2, 6). The coordinates of the vertices of △J′K′L′ are J′(−7, -3), K′(-8, -7), and L′(−2, -6).

• △JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a reflection across the x-axis, which is a rigid motion.

• △JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a reflection across the y-axis, which is a rigid motion.

• △JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

The drawing shows a compass and straight edge construction of...what?

• the bisector of a given angle

• a perpendicular to a given line at a point on the line

• a perpendicular to a given line from a point NOT on the line

• an angle congruent to a given angle

Tags

CCSS.HSG.CO.C.9

Name the construction.

• Corresponding angles

• Parallel line to a point not on the line

• Perpendicular line to a point not on the line

• Angle bisector

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Which image shows the construction of a perpendicular bisector?

• 
• 
• 
• 

Find the value of x.

• 14

• 60

• 35

• 180

Tags

CCSS.7.G.B.5

∠S and ​∠T​ are vertical angles with m∠S=−2x+90 and m∠T=x−30. What is m∠T?

Tags

CCSS.7.G.B.5

• 14

• 12

• 54

• 36

Tags

CCSS.7.G.B.5

∆ABC ≅ ∆XYZ, which is true?

• AB ≅ XY

• AB ≅ YX

• AB ≅ XZ

• BC ≅ CB

Tags

CCSS.8.G.A.2