Question

ample 3 a) write another name for ∠cbf. b) name the sides of ∠ebd. c) classify ∠abc. d) give an example of an obtuse angle. e) name two congruent angles. f) name a perpendicular bisector. ample 4 a) name the vertex of ∠2. b) name the sides of ∠4. c) write another name for ∠3. d) write another name for ∠1. e) classify ∠ytw. f) classify ∠ytu. g) classify ∠xtu. h) classify ∠wtx. i) name two perpendicular lines. j) name an angle bisector.

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex if there is only one angle at that vertex, or by three points with the vertex in the middle.

Step2: Recall angle - side definition

The sides of an angle are the two rays that form the angle.

Step3: Recall angle - classification rules

An acute angle is less than 90°, a right angle is 90°, and an obtuse angle is between 90° and 180°.

Step4: Recall congruent - angle definition

Congruent angles have the same measure.

Step5: Recall perpendicular - bisector and angle - bisector definitions

A perpendicular bisector is a line that is perpendicular to a segment and bisects it, and an angle bisector is a ray that divides an angle into two congruent angles.

Answer:

Example 3
a) ∠FBC
b) Rays $\overrightarrow{EB}$ and $\overrightarrow{BD}$
c) Acute angle (assuming the measure of ∠ABC is less than 90° from the diagram)
d) ∠ABF (assuming its measure is between 90° and 180° from the diagram)
e) ∠ABD and ∠CBE (assuming they have the same measure from the diagram)
f) The line perpendicular to the segment shown and bisecting it (no specific name given in the problem, if there is a line in the full - context diagram that fits the definition)

Example 4
a) Point T
b) Rays $\overrightarrow{TZ}$ and $\overrightarrow{TX}$
c) ∠UTY
d) ∠WTZ
e) Acute angle (assuming from the diagram)
f) Acute angle (assuming from the diagram)
g) Obtuse angle (assuming from the diagram)
h) Right angle (assuming from the diagram)
i) Assume $\overrightarrow{WT}$ and $\overrightarrow{TX}$ are perpendicular (if indicated in the diagram)
j) Assume a ray that divides an angle into two equal parts (no specific name given in the problem, if there is a ray in the full - context diagram that fits the definition)