Properties of Congruent Segments and Angles

This video tutorial covers midpoint and bisector exercises, focusing on a diagram where various lengths and angles need to be determined. It explains the properties of midpoints and perpendicular bisectors, and how these properties can be used to solve for unknown lengths and angles. The video also demonstrates the use of the Pythagorean Theorem and congruence in solving geometric problems, emphasizing the relationships between different segments and angles in a rectangle.

What is the relationship between segments AH and HE if H is the midpoint of AE?

• AH is twice the length of HE

• AH is unrelated to HE

• AH is half the length of HE

• AH is equal to HE

If B is the midpoint of AC, what can be said about segments AB and BC?

• AB is longer than BC

• AB is shorter than BC

• AB is equal to BC

• AB is unrelated to BC

How long is segment AB if AC is congruent to FE and FE is 24 inches?

• 6 inches

• 24 inches

• 12 inches

• 18 inches

What is the length of segment GA if it is congruent to segment HB?

• 3 inches

• 5 inches

• 7 inches

• 9 inches

If segment ED is congruent to segment DC, and DC is 5 inches, what is the length of ED?

• 9 inches

• 3 inches

• 7 inches

• 5 inches

What is the measure of angle HDC if it forms a linear pair with angle HDE, which is 90 degrees?

• 60 degrees

• 120 degrees

• 45 degrees

• 90 degrees

What is the length of segment FA if GA is 5 inches and GA is congruent to segment FG?

• 5 inches

• 10 inches

• 15 inches

• 20 inches

How long is segment GD if it is congruent to segment FE, which is 24 inches?

• 18 inches

• 24 inches

• 12 inches

• 30 inches

What is the measure of angle FED in the rectangle?

• 90 degrees

• 60 degrees

• 45 degrees

• 120 degrees

If H is the midpoint of AE and AH is 13 inches, what is the length of HE?

• 19 inches

• 10 inches

• 13 inches

• 16 inches