Question

worksheets
name
class
date
1.
find hg.
a) 8 b) 10
c) 11 d) 9

1. what does the word bisect mean?

a) a shape that has three sides. b) it is a plane with two sets of wings.
c) to cut something into more than five pieces. d) to cut something into two congruent pieces or in half.

1. part of a line. has a beginning and end.

a) ray b) point
c) line d) line segment

1. find ac if ab = 16 and bc = 12.

let b be between a and c.
a) 4 b) 16
c) 28 d) 12

Explanation:

Question 1

Step1: Analyze the line segment

We know that \( HF = 10 \) and \( GF = 1 \). Since \( B \) (here \( G \)) is between \( H \) and \( F \), we use the segment addition postulate: \( HG + GF = HF \).

Step2: Solve for \( HG \)

Substitute the known values: \( HG + 1 = 10 \). Subtract 1 from both sides: \( HG = 10 - 1 = 9 \)? Wait, no, wait. Wait the options have 9 as d? Wait no, wait the first question: Find HG. The diagram: H---G---F, with HF = 10, GF = 1. So HG = HF - GF = 10 - 1 = 9? But wait the options: a)8, b)10, c)11, d)9. Wait maybe I misread. Wait the first question: the diagram is H to G is?, G to F is 1, and H to F is 10. So HG + GF = HF. So HG = HF - GF = 10 - 1 = 9. So answer is d) 9? Wait but let's check again.

Wait maybe the first question: the length from H to F is 10, from G to F is 1, so H to G is 10 - 1 = 9. So the answer is d) 9.

The term "bisect" in geometry means to divide a figure into two equal (congruent) parts, typically into two halves. Option a is a triangle, b is irrelevant, c is incorrect (more than five), d matches the definition.

A ray has a start point and extends infinitely in one direction. A point has no length. A line extends infinitely in both directions. A line segment has two endpoints (a beginning and an end) and a finite length. So the correct answer is d.

Answer:

d) 9

Question 2