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McDougal Littell Jurgensen Geometry : Student Edition 2000

Ray C. Jurgensen, Richard G. Brown

Chapter 10

Constructions and Loci - all with Video Answers

Educators

Section 1

What Construction Means

01:07

Problem 1

On your paper, draw two segments roughly like those shown. Use these segments in Exercises $1-4$ to construct a segment having the indicated length.
(Segment can't copy)
$$a+b$$

Adam Cornes
Adam Cornes
Numerade Educator
01:07

Problem 2

On your paper, draw two segments roughly like those shown. Use these segments in Exercises $1-4$ to construct a segment having the indicated length.
(Segment can't copy)
$$b-a$$

Adam Cornes
Adam Cornes
Numerade Educator
00:59

Problem 3

On your paper, draw two segments roughly like those shown. Use these segments in Exercises $1-4$ to construct a segment having the indicated length.
(Segment can't copy)
$$3 a-b$$

Adam Cornes
Adam Cornes
Numerade Educator
00:10

Problem 4

On your paper, draw two segments roughly like those shown. Use these segments in Exercises $1-4$ to construct a segment having the indicated length.
(Segment can't copy)
$$a+2 b$$

Amrita Bhasin
Amrita Bhasin
Numerade Educator
00:09

Problem 5

Using any convenient length for a side, construct an equilateral triangle.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
01:16

Problem 6

a. Construct a $30^{\circ}$ angle.
b. Construct a $15^{\circ}$ angle.

Adam Cornes
Adam Cornes
Numerade Educator
00:20

Problem 7

Draw any acute $\triangle A C U .$ Use a method based on the SSS Postulate to construct a triangle congruent to $\triangle A C U$.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
View

Problem 8

Draw any obtuse $\triangle O B T .$ Use the SSS method to construct a triangle congruent to $\triangle O B T$.

Erik Scott
Erik Scott
Numerade Educator
02:42

Problem 9

Repeat Exercise $7,$ but use the SAS method.

Adam Cornes
Adam Cornes
Numerade Educator
02:06

Problem 10

Repeat Exercise $8,$ but use the ASA method.

Kyleena Xin
Kyleena Xin
Numerade Educator
01:27

Problem 11

On your paper, draw two angles roughly like those shown. Then for Exercises construct an angle having the indicated measure.
(Angle can't copy)
$$x+y$$

Adam Cornes
Adam Cornes
Numerade Educator
03:29

Problem 12

On your paper, draw two angles roughly like those shown. Then for Exercises construct an angle having the indicated measure.
(Angle can't copy)
$$x-y$$

Tiffany Tran
Tiffany Tran
Numerade Educator
01:43

Problem 13

On your paper, draw two angles roughly like those shown. Then for Exercises construct an angle having the indicated measure.
(Angle can't copy)
$$\frac{3}{4} x$$

Adam Cornes
Adam Cornes
Numerade Educator
03:29

Problem 14

On your paper, draw two angles roughly like those shown. Then for Exercises construct an angle having the indicated measure.
(Angle can't copy)
$$180-2 y$$

Tiffany Tran
Tiffany Tran
Numerade Educator
00:31

Problem 15

a. Draw any acute triangle. Bisect each of the three angles.
b. Draw any obtuse triangle. Bisect each of the three angles.
c. What do you notice about the points of intersection of the bisectors in parts (a) and (b)?

Amrita Bhasin
Amrita Bhasin
Numerade Educator
01:51

Problem 16

Construct a six-pointed star using the following procedure.
1. Draw a ray, $\overrightarrow{A B}$. On $\overrightarrow{A B}$ mark off, in order, points $C$ and $D$ such that $A B=B C=C D$
2. Construct equilateral $\triangle A D G$.
3. On $\overline{A G}$ mark off points $E$ and $F$ so that both $A E$ and $E F$ equal $A B$
4. On $\overline{G D}$ mark off points $H$ and $I$ so that both $G H$ and $H I$ equal $A B$.
5. To complete the star, draw the three lines $\overrightarrow{F H}, \overrightarrow{E B},$ and $\overrightarrow{C I}$.

Ashley High
Ashley High
Numerade Educator
00:30

Problem 17

Construct an angle having the indicated measure.
$$120$$

Amrita Bhasin
Amrita Bhasin
Numerade Educator
01:05

Problem 18

Construct an angle having the indicated measure.
$$150$$

Adam Cornes
Adam Cornes
Numerade Educator
00:18

Problem 19

Construct an angle having the indicated measure.
$$165$$

Amrita Bhasin
Amrita Bhasin
Numerade Educator
01:05

Problem 20

Construct an angle having the indicated measure.
$$45$$

Adam Cornes
Adam Cornes
Numerade Educator
00:26

Problem 21

Draw any $\triangle A B C .$ Construct $\triangle D E F$ so that $\triangle D E F \sim \triangle A B C$ and $D E=2 A B$

Amrita Bhasin
Amrita Bhasin
Numerade Educator
04:48

Problem 22

Construct a $\triangle R S T$ such that $R S: S T: T R=4: 6: 7$

SS
Sarvesh Somasundaram
Numerade Educator
01:40

Problem 23

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise.
(Figure can't copy)
An isosceles triangle with a vertex angle of $n^{\circ}$ and legs of length $d$

Adam Cornes
Adam Cornes
Numerade Educator
01:40

Problem 24

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise.
(Figure can't copy)
An isosceles triangle with a vertex angle of $n^{\circ}$ and base of length $s$

Adam Cornes
Adam Cornes
Numerade Educator
02:42

Problem 25

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise.
(Figure can't copy)
A parallelogram with an $n^{\circ}$ angle. longer side of length $s$, and longer diagonal of length $d$

Adam Cornes
Adam Cornes
Numerade Educator
01:34

Problem 26

On your paper draw figures roughly like the ones shown. Then construct a triangle whose three angles are congruent to $\angle 1 . \angle 2$, and $\angle 3$, and whose circumscribed circle has radius $r$
(angle can't copy)

Jay Patel
Jay Patel
Numerade Educator