Question

1. angles in a triangle add up to: __ 3) identify the type of angles shown: a) angles f and i: b) angles h and k: c) angles f and j: d) angles l and m: __ 4) if two shapes are congruent, what does that mean? 5) write two true statements about the angles shown below.

Explanation:

Step1: Recall angle - pair definitions

Use the properties of angles formed by intersecting lines.

Step2: Identify corresponding angles

Corresponding angles are in the same relative position. For angles f and i, they are corresponding angles.

Step3: Identify alternate - interior angles

Alternate - interior angles are between the two lines and on opposite sides of the transversal. Angles h and k are alternate - interior angles.

Step4: Identify alternate - exterior angles

Alternate - exterior angles are outside the two lines and on opposite sides of the transversal. Angles f and j are alternate - exterior angles.

Step5: Identify vertical angles

Vertical angles are opposite each other when two lines intersect. Angles l and m are vertical angles.

Step6: Recall congruent - shape definition

Congruent shapes have the same size and shape, which means all corresponding sides and angles are equal.

Answer:

3)
a) Corresponding angles
b) Alternate - interior angles
c) Alternate - exterior angles
d) Vertical angles

1. It means that all corresponding sides and all corresponding angles of the two shapes are equal.