1.14 Unit Test: Introduction to Logic and Euclidean Geometry - Part 1

Which is the intersection of TV and VU?

V

What term best describes the intersection of the top of a box and a side of the box?

line

What is the contrapositive of the statement? If n is even, then n + 5 is odd.

If n + 5 is even, then n is odd.

What is the inverse of the statement? If you walk every day, then you will need new shoes soon.

If you don't walk every day, then you won't need new shoes soon.

Ava draws three parallelograms. In each figure, she measures a pair of angles, as shown. What is a reasonable conjecture for Ava to make by recognizing a pattern and using inductive reasoning?

In a parallelogram, opposite angles are congruent.

Timothy draws three isosceles triangles. In each figure, he measures a pair of angles. What is a reasonable conjecture for Timothy to make by recognizing a pattern and using inductive reasoning?

In an isosceles triangle, two of the angles are congruent.

Use the conditional statement to answer the question. If a number is even, then it is divisible by 4. Can the statement be written as a biconditional and why?

No, the statement is false but the converse is true.

The given figure is a rectangular prism. Which edges are parallel to QE ? Select all answers that are correct.

RA and TJ

Marcello is constructing the perpendicular bisector of AB. He has already constructed arcs as shown. What should Marcello do for his next step?

Use the straightedge to draw a line through points X and Y.

Jamar draws three pairs of parallel lines that are each intersected by a third line. In each figure, he measures a pair of same-side interior angles. What is a reasonable conjecture for Jamar to make by recognizing a pattern and using inductive reasoning?

When a pair of parallel lines are intersected by a third line, the same-side interior angles are supplementary.

Given n>0 , Adam conjectured that 6n<n2+300 . Which value is a counterexample to Adam's conjecture?

n = 4

What kind of lines are the two straight metal railroad rails?

parallel lines