Exam 12: Congruence and Similarity With Constructions

Solve. -Draw two parallelograms such that two angles and an included side are congruent respectively to two angles and an included side of the other parallelogram, and yet the two parallelograms are not congruent.

(Essay)

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Question 21

Use a ruler, protractor, and compass to construct, if possible, a triangle with the stated properties. If such a triangle cannot be drawn, explain why. Decide if there can be two or more noncongruent triangles with the stated properties. -A triangle with sides of length 17 cm, 28 cm, and 8 cm

(Multiple Choice)

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Question 22

Solve. -Inscribe a circle into a rhombus.

(Essay)

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Question 23

Solve. -Can a quadrilateral be formed given two 10-cm sides and a 75° angle that is not a trapezoid, parallelogram, kite, or rhombus?

(Short Answer)

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Question 24

Solve. -Inscribe a circle into an acute triangle.

(Essay)

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Question 25

Tell whether the triangles are similar or not similar. -

(Multiple Choice)

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Question 26

Answer the question. -What type of figure is formed by joining the midpoints of the adjacent sides of a rhombus?

(Short Answer)

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Question 27

Use a ruler, protractor, and compass to construct, if possible, a triangle with the stated properties. If such a triangle cannot be drawn, explain why. Decide if there can be two or more noncongruent triangles with the stated properties. -An equilateral triangle with sides of length 10 cm

(Multiple Choice)

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Question 28

State whether the triangles are congruent. If the information given is not sufficient, state "No conclusion possible". -

(Multiple Choice)

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Question 29

Answer the question. -A square has the properties of which three quadrilaterals?

(Essay)

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Question 30

These triangles are similar. Find the missing length. -

(Multiple Choice)

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Question 31

State whether the triangles are congruent. If the information given is not sufficient, state "No conclusion possible". -

(Multiple Choice)

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Question 32

Tell whether the triangles are similar or not similar. -

(Multiple Choice)

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Question 33

Solve. -Inscribe a circle into an obtuse triangle.

(Essay)

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Question 34

Tell whether the triangles are similar or not similar. -

(Multiple Choice)

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Question 35

Answer the question. -Are two equilateral triangles always similar? Explain why or why not.

(Essay)

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Question 36

Provide the requested proof. -Suppose polygon $\mathrm { ABCD }$ is any square with diagonals $\overline { \mathrm { AC } }$ and $\overline { \mathrm { BD } }$ intersecting at point $\mathrm { F }$ . $Provide the requested proof. -Suppose polygon \mathrm { ABCD } is any square with diagonals \overline { \mathrm { AC } } and \overline { \mathrm { BD } } intersecting at point \mathrm { F } . What is the measure of angle BFC?$ What is the measure of angle BFC?

(Short Answer)

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Question 37

Provide an appropriate response. -The two triangles shown below are congruent. $\triangle \mathrm { ABC } \cong$ $Provide an appropriate response. -The two triangles shown below are congruent. \triangle \mathrm { ABC } \cong $

(Multiple Choice)

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Question 38

The diagonals of a rectangle bisect each other.

(True/False)

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Question 39

State whether the triangles are congruent. If the information given is not sufficient, state "No conclusion possible". -

(Multiple Choice)

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Question 40

Showing 21 - 40 of 121

Solve. -Draw two parallelograms such that two angles and an included side are congruent respectively to two angles and an included side of the other parallelogram, and yet the two parallelograms are not congruent.

Use a ruler, protractor, and compass to construct, if possible, a triangle with the stated properties. If such a triangle cannot be drawn, explain why. Decide if there can be two or more noncongruent triangles with the stated properties. -A triangle with sides of length 17 cm, 28 cm, and 8 cm

Solve. -Inscribe a circle into a rhombus.

Solve. -Can a quadrilateral be formed given two 10-cm sides and a 75° angle that is not a trapezoid, parallelogram, kite, or rhombus?

Solve. -Inscribe a circle into an acute triangle.

Tell whether the triangles are similar or not similar. -

Answer the question. -What type of figure is formed by joining the midpoints of the adjacent sides of a rhombus?

Use a ruler, protractor, and compass to construct, if possible, a triangle with the stated properties. If such a triangle cannot be drawn, explain why. Decide if there can be two or more noncongruent triangles with the stated properties. -An equilateral triangle with sides of length 10 cm

State whether the triangles are congruent. If the information given is not sufficient, state "No conclusion possible". -

Answer the question. -A square has the properties of which three quadrilaterals?

These triangles are similar. Find the missing length. -

State whether the triangles are congruent. If the information given is not sufficient, state "No conclusion possible". -

Tell whether the triangles are similar or not similar. -

Solve. -Inscribe a circle into an obtuse triangle.

Tell whether the triangles are similar or not similar. -

Answer the question. -Are two equilateral triangles always similar? Explain why or why not.

Provide an appropriate response. -The two triangles shown below are congruent. $\triangle \mathrm { ABC } \cong$ $Provide an appropriate response. -The two triangles shown below are congruent. \triangle \mathrm { ABC } \cong $

The diagonals of a rectangle bisect each other.

State whether the triangles are congruent. If the information given is not sufficient, state "No conclusion possible". -

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 12: Congruence and Similarity With Constructions

Solve. -Draw two parallelograms such that two angles and an included side are congruent respectively to two angles and an included side of the other parallelogram, and yet the two parallelograms are not congruent.

Use a ruler, protractor, and compass to construct, if possible, a triangle with the stated properties. If such a triangle cannot be drawn, explain why. Decide if there can be two or more noncongruent triangles with the stated properties. -A triangle with sides of length 17 cm, 28 cm, and 8 cm

Solve. -Inscribe a circle into a rhombus.

Solve. -Can a quadrilateral be formed given two 10-cm sides and a 75° angle that is not a trapezoid, parallelogram, kite, or rhombus?

Solve. -Inscribe a circle into an acute triangle.

Tell whether the triangles are similar or not similar. -

Answer the question. -What type of figure is formed by joining the midpoints of the adjacent sides of a rhombus?

Use a ruler, protractor, and compass to construct, if possible, a triangle with the stated properties. If such a triangle cannot be drawn, explain why. Decide if there can be two or more noncongruent triangles with the stated properties. -An equilateral triangle with sides of length 10 cm

State whether the triangles are congruent. If the information given is not sufficient, state "No conclusion possible". -

Answer the question. -A square has the properties of which three quadrilaterals?

These triangles are similar. Find the missing length. -

State whether the triangles are congruent. If the information given is not sufficient, state "No conclusion possible". -

Tell whether the triangles are similar or not similar. -

Solve. -Inscribe a circle into an obtuse triangle.

Tell whether the triangles are similar or not similar. -

Answer the question. -Are two equilateral triangles always similar? Explain why or why not.

Provide the requested proof. -Suppose polygon ABCD\mathrm { ABCD }ABCD is any square with diagonals AC‾\overline { \mathrm { AC } }AC and BD‾\overline { \mathrm { BD } }BD intersecting at point F\mathrm { F }F . What is the measure of angle BFC?

Provide an appropriate response. -The two triangles shown below are congruent. △ABC≅\triangle \mathrm { ABC } \cong△ABC≅ ______

The diagonals of a rectangle bisect each other.

State whether the triangles are congruent. If the information given is not sufficient, state "No conclusion possible". -

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Provide an appropriate response. -The two triangles shown below are congruent. $\triangle \mathrm { ABC } \cong$ $Provide an appropriate response. -The two triangles shown below are congruent. \triangle \mathrm { ABC } \cong $