Geometric Foundations and Construction

Geometric Foundations and Construction

10th Grade

19 Qs

quiz-placeholder

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Geometric Foundations and Construction

Geometric Foundations and Construction

Assessment

Quiz

Mathematics

10th Grade

Hard

Created by

Barbara White

FREE Resource

19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image
What geometric construction is shown in the diagram below?
an angle bisector
a line parallel to a given line
an angle congruent to a given angle
a perpendicular bisector of a segment

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Given: angle A

What is the first step in constructing the angle bisector of angle A?

Draw ray AD

Draw a line segment connecting points B and C.

From points B and C, draw equal arcs that intersect at D.

From point A, draw an arc that intersects the sides of the angle at points B and C.

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Based on the construction, which statement must be true?

∠ABD = ½∠CBD

∠ABD = ∠CBD

∠ABD = ∠ABC

∠CBD = ½∠ABD

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image
Line segment AB is shown in the diagram. Which two sets of construction marks, labeled I, II , III, and IV,are part of the construction of the perpendicular bisector of line segment AB?
I and II
I and III
II and III
II and IV

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image
Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?
a line through P parallel to line l
a line through P intersecting line l
a line through P congruent to line l
a line through P perpendicular to line l

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Based on the construction, which conclusion is not always true?

AB ⊥ CD

AB ≅ CD

AE ≅ ED

CE ≅ DE

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image
Suppose we wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass point on E and marking off the distance to which point?
A
B
C
D

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