ATA PreAlgebra Geometry Lesson 1- Angles

Multiple Choice

An angle is formed by two __________ with a common endpoint.

• rays

• lines

• points

• planes

Multiple Choice

Parts of an Angle: This common endpoint is called the _______________.

• vertex

• angle

• side

• point

Multiple Choice

Parts of an Angle: The rays are called the ____________.

• sides

• vertices

• angles

• points

Multiple Choice

Why do you think understanding angles is important in geometry and in real life?

• Because angles are used in art and design

• Because angles help us understand shapes and structures

• Because angles are only used in mathematics

• Because angles are not important

Multiple Choice

Symbol for an angle: _____

• ∠

• ≈

• ≡

• ∞

Multiple Choice

Naming Angles: Angles are typically named using ______________ letters.

• three

• two

• four

• five

Multiple Select

Which of the following are types of angles based on their measures?

• Acute

• Right

• Obtuse

• Parallel

Multiple Choice

Naming Angles: Angles can also be named using just the vertex if it is the only angle located at that vertex.

• vertex

• side

• arc

• line

Open Ended

Given the angle JKL, how would you classify it and what are three ways to name it?

Multiple Choice

Angle Measures: Example: ________________________________

• m∠ABC = 60°

• m∠ABC = 90°

• m∠ABC = 120°

• m∠ABC = 45°

Open Ended

Do you have any questions about angles or would you like to learn more about how angles are used in different fields?

Fill in the Blanks

Multiple Choice

Name the sides of the angle.

• JK, KL

• JK, LM

• KL, MN

• JK, MN

Multiple Choice

Give three ways to name the angle.

• ∠JKL, ∠LKJ, ∠K

• ∠JKL, ∠JLK, ∠J

• ∠KJL, ∠KLJ, ∠L

• ∠JKL, ∠JK, ∠L

Multiple Choice

Classify the angle: ________________

• acute

• obtuse

• right

• reflex

Multiple Choice

Name the sides of the angle.

• QR, RS

• PQ, QR

• RS, ST

• AB, BC

Multiple Choice

Give three ways to name the angle.

• ∠QRS, ∠SRQ, ∠R

• ∠QSR, ∠SQR, ∠Q

• ∠QRS, ∠QSR, ∠S

• ∠SRQ, ∠QRS, ∠S

Multiple Choice

Classify the angle: ________________

• right

• acute

• obtuse

• straight

Open Ended

The measure of ∠A is (12x – 5)°. If x = 9, find the measure of ∠A, then classify the angle.

Open Ended

The measure of ∠R is (7x + 19)°. If x = 23, find the measure of ∠R, then classify the angle.

Multiple Choice

The measure of ∠H is (14 – 2x)°. If x = -6, find the measure of ∠H, then classify the angle.

• The measure of ∠H is 26°. It is an acute angle.

• The measure of ∠H is 2°. It is an obtuse angle.

• The measure of ∠H is -2°. It is a right angle.

• The measure of ∠H is 14°. It is a straight angle.

Open Ended

The measure of ∠Y is (4x + 22)°. If x = 17, find the measure of ∠Y, then classify the angle.

Multiple Choice

The measure of ∠C is (19x – 3)° and the measure of ∠D is (8x + 10)°. If the sum of the measures of the angles is 115°, find the measure of each angle.

• The measure of ∠C is 76°, and the measure of ∠D is 39°.

• The measure of ∠C is 65°, and the measure of ∠D is 50°.

• The measure of ∠C is 70°, and the measure of ∠D is 45°.

• The measure of ∠C is 60°, and the measure of ∠D is 55°.

Multiple Choice

The measure of ∠J is (x + 71)° and the measure of ∠K is (12x – 27)°. If the sum of the measures of the angles is 123°, find the measure of each angle.

• The measure of ∠J is 74°, and the measure of ∠K is 49°.

• The measure of ∠J is 65°, and the measure of ∠K is 58°.

• The measure of ∠J is 80°, and the measure of ∠K is 43°.

• The measure of ∠J is 70°, and the measure of ∠K is 53°.

Multiple Choice

The measure of ∠E is eighteen degrees more than the measure of ∠F. If the sum of the measures of the two angles is 96°, find the measure of each angle.

• The measure of ∠E is 57°, and the measure of ∠F is 39°.

• The measure of ∠E is 60°, and the measure of ∠F is 36°.

• The measure of ∠E is 54°, and the measure of ∠F is 42°.

• The measure of ∠E is 48°, and the measure of ∠F is 48°.

Multiple Choice

The measure of ∠R is three degrees less than twice the measure of ∠S. If the sum of the measures of the two angles is 72°, find the measure of each angle.

• The measure of ∠R is 47°, and the measure of ∠S is 25°.

• The measure of ∠R is 36°, and the measure of ∠S is 36°.

• The measure of ∠R is 50°, and the measure of ∠S is 22°.

• The measure of ∠R is 40°, and the measure of ∠S is 32°.

Multiple Choice

Directions: For each angle, a) name the vertex, b) name the sides, c) name the angle three ways, and d) classify the angle. 1. a) _______________ b) _______________ c) __________, __________, __________ d) _________________

• Y XY, YZ ∠Y, ∠XYZ, ∠ZYX Acute angle

• X XY, XZ ∠X, ∠YXZ, ∠ZXY Right angle

• Z YZ, XZ ∠Z, ∠YZX, ∠XZY Obtuse angle

• Y YX, YZ ∠Y, ∠YXZ, ∠ZXY Straight angle

Multiple Choice

Directions: For each angle, a) name the vertex, b) name the sides, c) name the angle three ways, and d) classify the angle.

• a) M b) LM, MN c) ∠M, ∠LMN, ∠NML d) Acute angle

• a) N b) LN, NM c) ∠N, ∠LNM, ∠MNL d) Right angle

• a) L b) ML, LN c) ∠L, ∠MLN, ∠NLM d) Obtuse angle

• a) M b) LM, MN c) ∠M, ∠MLN, ∠NML d) Straight angle

Multiple Choice

Directions: For each angle, a) name the vertex, b) name the sides, c) name the angle three ways, and d) classify the angle.

• a) V b) SV, CV c) ∠V, ∠SVC, ∠CVS d) Right angle

• a) S b) VS, VC c) ∠S, ∠VSC, ∠CSV d) Acute angle

• a) C b) VC, VS c) ∠C, ∠VCS, ∠SCV d) Obtuse angle

• a) V b) SV, CV c) ∠V, ∠SVC, ∠CVS d) Acute angle

Multiple Choice

Directions: For each angle, a) name the vertex, b) name the sides, c) name the angle three ways, and d) classify the angle.

• P b) QP, PF c) ∠P, ∠QPF, ∠FPQ d) Obtuse angle

• Q b) PQ, QF c) ∠Q, ∠PQF, ∠FQP d) Acute angle

• F b) PF, FQ c) ∠F, ∠PFQ, ∠QFP d) Right angle

• Q b) QP, QF c) ∠Q, ∠QPF, ∠FQP d) Straight angle

Multiple Choice

If m∠P = (7x – 22)° and ∠P is a right angle, what is the value of x?

• 14

• 16

• 15

• 13

Multiple Choice

If m∠A = (5x + 45)° and ∠A is a straight angle, the value of x is:

• 27

• 27°

• 45

• 135

Multiple Choice

The measure of ∠N is (15x + 47)°. If x = 8, what is the measure of ∠N?

• 167°

• 120°

• 175°

• 200°

Multiple Choice

The measure of ∠H is (11x – 29)°. If x = 19, what is the measure of ∠H?

• 180°

• 100°

• 120°

• 209°

Multiple Choice

The measure of ∠B is (-8x + 58)°. If x = -4, what is the measure of ∠B?

• 90°

• 80°

• 70°

• 58°

Multiple Choice

The measure of ∠Z is (4x – 5)°. If x = 7, what is the measure of ∠Z, and how would you classify the angle?

• 23°, acute angle

• 23°, obtuse angle

• 28°, acute angle

• 28°, right angle