14,973 Answered Questions for the topic geometry

12/14/23

Which of the following statements describes the properties of triangles JKL and J''K''L'' after the transformations?

Triangle JKL is rotated 90° clockwise and then dilated by a scale factor of 4 centered at the origin. Which of the following statements describes the properties of triangles JKL and J''K''L'' after... more

12/14/23

Quadrilaterals LMNO and PQRS are shown in the figure. Are quadrilaterals LMNO and PQRS similar?

Quadrilaterals LMNO and PQRS are shown in the figure.Are quadrilaterals LMNO and PQRS similar?  Yes, quadrilaterals LMNO and PQRS are similar because a translation and a dilation map quadrilateral... more

12/14/23

Which of the following transformations maps triangle JKL to triangle MNO? What is the relationship between the triangles?

Triangles JKL and MNO are shown in the figure.Which of the following transformations maps triangle JKL to triangle MNO? What is the relationship between the triangles?  Reflect triangle JKL over... more

12/14/23

What are the coordinates of E' that will justify ∆DEF ~ ∆D'E'F'? 

The transformation of ∆DEF is described in the table. ∆DEF∆D'E'F' D (0, 0) D' (0, 0) E (3, 2) E' (x, y) F (7, 6) F' (14, 12) What are the coordinates of E' that will justify ∆DEF ~... more
Geometry

12/13/23

Given WZ || XY and WX || ZY, write a two-column proof to show WX ≅ YZ.

Geometry

12/12/23

Is the equation y=1/3x+12 and 2y-6x=8 perpendicular

Is the equation y=1/3x+12 and 2y-6x=8 perpendicular
Geometry

12/11/23

The midpoint AB is M (-2,-4), If the coordinates of A are (-8,-5), what are the coordinates of B?

find the missing midpoint
Geometry

12/11/23

Question was too long. Please see below.

AMC 8 practice problem number 25. Please explain how to do the problem. Three points are chosen on each side of a square, aside from the vertices of the square. Lines are drawn connecting every... more
Geometry

12/07/23

If the line represented by y = 1/2x - 3 is dilated by a scale factor of 4 centered at the origin, which statement about the image is true?

If the line represented by y = 1/2x - 3 is dilated by a scale factor of 4 centered at the origin, which statement about the image is true?
Geometry

12/07/23

Finding degree measures in the triangle

Suppose that m<K = (5x +16) degrees and m<J = (4x + 25) degrees. Fine the degree measure of each angle in the triangle.
Geometry

12/06/23

Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as improper fractions, if necessary. passes through (6, 2), parallel to y=−23x+1

Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as improper fractions, if necessary.passes through (6, 2), parallel to y=−23x+1

12/01/23

ΔEFG is dilated from the origin at a scale factor of 2 to create ΔE′F′G′. Select the option that completes the statement:

ΔEFG is dilated from the origin at a scale factor of 2 to create ΔE′F′G′.Select the option that completes the statement:The triangles' corresponding sides are ________, and their corresponding... more

12/01/23

Which statement describes the properties of triangles ABC and A″B″C″ after the transformations?

Triangle ABC is translated by the rule (x + 1, y + 1) and then dilated by a scale factor of 2 centered at the origin. Which statement describes the properties of triangles ABC and A″B″C″ after the... more

11/30/23

Find the measure of angle x in the figure below:

Find the measure of angle x in the figure below:  35°  47°  51°  62°

11/30/23

Find the measure of angle x in the figure below:

Find the measure of angle x in the figure below:  65°  70°  110°  125°

11/29/23

A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?

A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?  Yes, because 4 + 5 > 8  Yes, because 5 + 8 < 4  No, because 4... more

11/29/23

Triangle ABC is shown below: Which reason can be used to fill in the numbered blank space?

Triangle ABC is shown below:Given: ΔABCProve: All three angles of ΔABC add up to 180°.The flowchart with missing reason proves the measures of the interior angles of ΔABC total 180°:Which reason... more

11/29/23

Find the measure of angle x in the figure below:

Find the measure of angle x in the figure below:  60°  50°  110°  70°

11/29/23

If ΔFGH ≅ ΔIJK, which segment is congruent to FG  ?

If ΔFGH ≅ ΔIJK, which segment is congruent to ?       

11/29/23

The grid shows Figure Q and its image Figure Q′ after a transformation. Which of the following transformations could be used to prove that Figure Q and Figure Q′ are congruent?

The grid shows Figure Q and its image Figure Q′ after a transformation.Which of the following transformations could be used to prove that Figure Q and Figure Q′ are congruent?  Clockwise rotation... more

11/29/23

If ΔABC ≅ ΔFDE, which of the following statements is true?

If ΔABC ≅ ΔFDE, which of the following statements is true?  ∠A ≅ ∠E  ∠B ≅ ∠F  ∠A ≅ ∠D  ∠B ≅ ∠D

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