Geometry - Angles Day 1 - 2024

A wagon wheel is shown in the figure. How many degrees does the wheel need to rotate about its axle so that the image of the wheel is indistinguishable from the original figure? Select ALL that are true.

• 90°

• 30°

• 120°

• 15°

• 60°

Tags

CCSS.HSG.CO.A.4

Find the missing angles.

• 110 degrees and 120 degrees

• 110 degrees and 80 degrees

• 70 degrees and 160 degrees

• 70 degrees and 70 degrees

In the street map shown, Adams Street, Becker Street, and Cabell Street form a triangle. Dunlop Street connects the intersection of Adams and Becker Streets with Cabell Street. Erving Street connects the intersection of Becker and Cabell Streets with Adams Street. Which two streets intersect to form an angle with a measure of 27°?

• Adams and Dunlop

• Adams and Becker

• Becker and Dunlop

• Cabell and Erving

Tags

CCSS.4.G.A.1

Divya wants to find x in the figure. Assume L1 is parallel to L2. What theorem can Divya use to solve for x?

• Corresponding angles are supplementary

• Vertical Angles are congruent

• Alternate interior angles are congruent

• Alternate exterior angles are congruent

Tags

CCSS.8.G.A.5

Which statement is true?

• Complementary angles always add up to 90°.

• Complementary angles always add up to 180°.

• Complementary angles are always congruent.

• Complementary angles are always vertical angles.

Tags

CCSS.7.G.B.5

Parallel lines q and r are intersected by parallel transversals s and t. Which two statements are true?

• m∠3 = m∠9

• m∠3 = m∠14

• m∠4 + m∠15 = 180°

• m∠8 + m∠7 = 180°

• m∠6 = m∠13

Tags

CCSS.8.G.A.5

Find the missing angle in each right triangle.

• 89 degrees

• 18 degrees

• 72 degrees

• 21 degrees

Tags

CCSS.HSG.SRT.C.8

Consider the figure, where lines m and n are parallel, and lines p and q are parallel. Determine which statements are true. Select all that apply.

• Angle 1 is congruent to angle 2.

• The sum of angles 13 and 14 are 180 degrees.

• Angles 3 and 13 are congruent.

• Angle 6 is congruent to angle 12.

• Angles 4 and 14 are supplementary.

Transversal s intersects parallel lines l and m. The m∠1 = (6x + 11)°, and m∠2 = (4x + 9)°. Find the value of x.

• x = −1

• x = 5

• x = 16

• x = 20

Tags

CCSS.8.G.A.5

In the diagram below, Points G, H, and I are collinear. Which conjecture is NOT necessarily true?

• ∠GHK ≅ ∠KHI

• m∠GHJ + m∠JHI = 180°

• ∠GHJ and ∠JHI form a linear pair

• ∠GHK and ∠JHI are vertical angles

Tags

CCSS.7.G.B.5