Geometry | Unit 7 | Lesson 1: Lines, Angles, and Curves | Practice Problems

Circle with center A. Diameter is drawn. Central angles z and 20 degrees are formed along the diameter. Arc y is opposite central angle z. Arc x is opposite central angle of 20 degrees.

Tags

CCSS.HSG.C.B.5

Circle with center A. Diameter B C and G H are drawn. Line segment D F E is drawn with point F on diameter B C. A line is drawn tangent to the circle with point C on the circle.

• BC or HG

• DE

• AB, AC, AG, or AH

Identify whether each statement must be true, could possibly be true, or definitely can’t be true. A diameter is a chord. A radius is a chord. A chord is a diameter. A central angle measures 90°.

• must be true

• cannot be true

• could be true

• could be true

Write an equation of the altitude from vertex A.

Tags

CCSS.6.G.A.3

Triangle ABC has vertices at (5,0), (1,6), and (9,3). What is the point of intersection of the triangle’s medians?

• The medians do not intersect in a single point.

• (3,3)

• (5,3)

• (3,4.5)

Consider the parallelogram with vertices at (0,0), (8,0), (4,6), and (12,6). Where do the diagonals of this parallelogram intersect?

Tags

CCSS.6.G.A.3

Parallel lines l and p on a coordinate plane, origin O. Points A and B are on line l at A(negative 6 comma 4) and B(2 comma 0). Points F and C are on line p at F(negative 8 comma 2) and C(8 comma negative 6). Point D(2 comma 4) is above line l, and forms triangle A D B with dashed segments. Point E(negative 8 comma negative 6) is below line p, and forms triangle F E C with dashed segments.

• Triangle ADB is congruent to triangle CEF.

• The slope of line l is equal to the slope of line p.

• Triangle ADB is similar to triangle CEF.

• sin(A) = sin(C)

• cos(B) = sin(C)

Tags

CCSS.HSG.CO.B.7

Mai wrote a proof that triangle AED is congruent to triangle CEB. Mai's proof is incomplete. How can Mai fix her proof? We know side AE is congruent to side CE and angle A is congruent to angle C. By the Angle-Side-Angle Triangle Congruence Theorem, triangle AED is congruent to triangle CEB.

Tags

CCSS.HSG.SRT.B.5