Category 1: Geometric Structure

Category 1: Geometric Structure

10th Grade

10 Qs

quiz-placeholder

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Category 1: Geometric Structure

Category 1: Geometric Structure

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Medium

Created by

Kourtney Lopez

Used 3+ times

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The rectangular pyramid shown above was intersected by a plane parallel to base ABCD to form quadrilateral A'B'C'D'.

Based on this information, which statement cannot be proved true?

ABCD ABCDABCD\ \sim\ A'B'C'D'

AFAF=BFBF\frac{AF}{A'F}=\frac{BF}{B'F}

AADBBA\angle AA'D'\cong\angle BB'A'

BCDBCD\angle BCD\cong\angle B'C'D'

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For triangles ABC and DEF, ∠A ≅ ∠D and B ≅ ∠E. Based on this information, which statement is a reasonable conclusion?

∠C ≅ ∠D because they are corresponding angles of congruent triangles.

CA ≅ FD because they are corresponding parts of congruent triangles.

∠C ≅ ∠F because they are corresponding angles of similar triangles.

AB ≅ DE because they are corresponding parts of similar triangles.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A conditional statement is given above.

Which of the following best describes this statement?

This statement is true because all obtuse triangles have two acute interior angles.

This statement is false because the third interior angle must also be acute.

This statement is true because a triangle can have at most one interior obtuse angle.

This statement is false because the third interior angle can be acute, right, or obtuse.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The two conditional statements above are true.

Based on these conditional statements, which statement must also be true?

If ∠3 and ∠4 form a linear pair, then

m∠3 + m∠4 = 180o

If ∠3 and ∠4 form a linear pair, then

m∠3 = 90o, and m∠4 = 90o

If m∠3 + m∠4 = 180o, then ∠3 and ∠4 form a linear pair

If ∠3 and ∠4 are supplementary, then ∠3 and ∠4 form a linear pair

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A statement is given above.

Which side length of a square provides a counterexample to the given statement?

6 units

4 units

10 units

2 units

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

In circle E above, ∠AEB ≌ ∠CED.

Based on this information, which statement must be true?

AB ≌ CD

EB ⊥ EC

m∠AED = 4(m∠DEC)

m∠AEB + m∠DEC = m∠BEC

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The following conditional statement is true.

Which statement must also be true?

If a quadrilateral has four congruent sides, then it is a square.

If a quadrilateral does not have four congruent sides, then it is not a square.

If a quadrilateral is not a square, then it does not have four congruent sides.

If a quadrilateral does not have four congruent sides, then it is a square.

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